ELE TRICA,t CNGINCCRING
REVIEWER 2009
20ro
rprol.essional Regulatio,., iornn.,irrion Manila
,
,ItrGISTERED ELECT_R|.CAL ENGTNEERS
Saturday. August 14,
,201
0
lNsrRucrlo*.ffiffi
ffffi,lffifor sr* et p,o"{ded. ai*
$6ULTIPT.E
i
a
and
day
-s..ts.o
:
5.5
8.6
c.2.6
strair for
in rensth
" "!]"onu
B.
=,
fi.z
.what is the rotationat inertia of,a 50*tb
A* 1'tr2srug-sq'
fr'
e' o'za
0A
't.'
loGksJilffir
"G"q- ft
-A"'*2,500
i:.
a.
fixture, convenlonce
A
gooseneck
iCoe
o,rUuf"i"
bend
A. 3
ft
: i.X'
, d*:;:. c.lo-fl whose r,*-o-terstug-sq.
Na2O
*on,he
sauge
n .o ,
.,r,n"";]11u,",
ft-
o- o.ssir,r9-s,q. fi-
€/rr.o
D.
ffiH,ffirf
beM
"r*
io2.s
;*'-j,ffi gtr
warer ro
^
C. corner
-' -.o'.*.,v ""J:n:*"".,rtuhti.s
b€no \D. offset bend
;;;."'"i,"'.t?",, t"i'6il?ri#t;:ffi:,'H":drfl":lTfji B. 3.52 R -_ c. 4.59.ft 3. 5.83
anowa;b
ft
14. Give the formula for sodium oxide.
_A.
by a rorce or
*** ", i;iT
13. A copper column of annular crosg section has an er.,ter dlamt The
fl{,{jrl,tr*"'
roa
phasc slistem ha"ins lso A of etectuic dts€r,arsc Eshii,rs d,,J .-
-i'ver' L
B. saddle
":3:bve, -
-\
#rWry
ffi?mlltlffii*A 4o)A
of:,l,
cy,*d#*
g. Octal equiv-alent of 73.75 base 10. . A 14s.s B. ns.i 1
15 mph
4280ft.
",,I,3:;,jx;
D, 32.4
ro.r. or 12 kips. Derermine rho normar slress
"
36:rffi#;ffi{C'#ffi,'il'ffiffii;" "8.362ft
;ri"E}
.8.
D. lead perorile
Fiffi:*
bar is loaded in tensi'ro uv
,lY;iiil*# ffiffi A 9.8
r
C. bad oxkJe
8.21.7
*EI-#[L:,ffi: t
6
Mark
c.43.e D.32.7 ternp.,r,rru of p body k.-T-o*g F..FinC ilsA 14r.6 $cperat.rre in deg C.
The
A
'
fouowr".s,lr:ti*s-
Horypany arams are representeij in 2.50 mor of ti2.c?
b4s.0
t'
1:C0 p.m. _ 5:00 p.m.
C}IOICE
Q,
3.
each or irre
.
gl4leneins,er for ;'iia;i-ffi;il l n} rJ ffiT,relTt"m:u**
1. 'l-he'tead h a had nenc$js - A bons blacr( eranhite 2-
Board Examinarion
E.
NaO
C. irJaOr
D. NazOz
I.t[,rGl S'IERED ELECTRICAL ENGt t\tEERS li;rtrrrday, August 14, 2010
!,.'*gl_N.j; E&r]{Q_Eli!_q hrq
Board Examination 1:00 p.m. -- 5.00 p rn
EslNs A!uEQ r rrgJrc:La
lii'A
prr:jectile is launched uprward lrorn level ground at an angle of 60 deg with the horizontal, lt lras an initiat velocity of 45 m/s. How long will it take,Lrefore $re projectile hits"the ground? A" 4.1 s B. 5_B s C-\ n.gq r; D.
9.Sj s
l6' A container ship has a horizontalcross-sectional area of 3C00 sq, m, at the centee.line. when par,y filled, the draft of 9.2 m is reac:h. upon removal of tlre load irre ship rises g.o m what is the -.;'rPPreximate weight of the ship? l\ssume salt water weigtnt density of f O 1flrc" *. A.
5000
17. Prefix
10^-r5
B.
C.
3000
D,}OOO
/
is
A. pico 18.
4000
B. atto
C. nano
@. femto
whgt is the demand branch circuit for 4 kw cooktop and two 5 kw ovens? A. 7.2 kW B. 8.0 kW C. g.0 k\/V D. B.B kW
ll). Mediurn voltage cable insulations is ratecj B.
4.600
1000
for
-U r30volts or higher. D. 2001
20' A1 atom of be;yllium consists of 4 prctons, 5 neutrons, and 4 eleictrons. The mass rrumber of this atom is )
A. 13
c.8
21. A capillary tube
.
D.5
of intemal radius 0.25 mrn is dipped into water of surface tension 72 dyneslcnr.
.:.llow,frigh does the water rise in the tube? A. 0.38 cm B. 4.66 cnr
C. 8.22 cm
D. 5.88 crn
22' The annual amount.of a series of payments to be made ai the end of each of the next twelve vears> is P 5000' what is the pregent worth of the payrnent interest compound ;;;;;,tyi-"rYE 'YEdr ,4,. p q)p c. p d. p o+,eoo
50,000
,lE 61;000
37,680
23' when oxygen combines w1$ an r:lement to form a compound, the resulting compound is called A" a B_,)an C. D. an oxalate
salt
oxicJe
cxiciation
24.A 100" long aluminum bar is s;ubjected to a tensire stress of 25,000 psi. Find the elongation. (E = 10 x 10 raised to 6 ps[ A_ 0.025 in (_l)o.zs in C. 0_45 in D. 0.65 in 25' A very large conducling plate has a
ct.arge tlensity.
den-sity (in megajoulevcu. m.) of the lurface field procuce?
A;s.56
"26'
a.
i.so
c.
uylnistnarge v- distribution? s.06 - - -'-'o. i.is
Asteel wire 10 m. long hanging vertically supports a tensile load of 2000 N. Neglecting the weight of the wire, determine the requiretj diamlter'ir tne stress is not to r.'xceed 140 lvlpa and the totat elongation is not to exceed 5 rnm. Assume e ZeS Gpa. = A.4.26 mm , B. 5.05 mm g 4.62 mm D. S.50 mm
27' How much ehou-id a 75-W lamp be lowore'J to doubls the iiluminailon on an obJect whlch is 7s crn . directlyr. it?
u''Lx
*-vt.r.97 cm
__
(fi3.03 cm
c. 24.92 cm
D. 50.08 cm
28' The speed wiih which a liquicl eslapes from a vesQel through an orifice is given by A. Archirnedes f)aernouili,s Theorem B. Torricelti's ftow equation
principre Theorem
I
NTGISI-ERED ELECTRICAL ENGII,IEERS ::i,iiiurday, August 14, 2A1O
Board Exanrination 1:00 pr.nr. - 5:00 p.rn
!."i ?'$",4' man q-ays P 15,C00 annually starling at the end of the 5th year until at the encj of 5:r 2rC,000 annually at the end of the 11th;ear until at the end of the 156 year,
the 1Oth year,
p 35,000 annually for the succeeding 5 years. With 10% interest, wlrat annuity should he pay lorZ0 yeais to scttle that amount equally? A. p
16,bs0.26
B"
p
10,625.24 c. p 14,208.2s G, \/
ancl
,2,40s.23
3$"-At what angle, in degrees, should a roaci be slantecl to prevent an automoblle traveling at 25 m/s 'fhe li'';irn tending to slip?
A.22
radius of curvature is 200 rn.
B.2O
c.
n:,/
18
9116
31. A mass of 5 slugs and one_of 7_l
5.48
4.sE
c.6.42
3?. Whic[r one of the following laws deals with mixture of gases?
A. Charte's
Law
B..Boyle,s
Law
C. Joule's Law
D. Dalton's Law
33, A wheel acceterates from rest with o = 6 rad/sec squared. How many revolutions are experienced in q sec? -
..A.i.64 \- z'
B.
9.82
12.36 4'Jv
!r' c.
D. zJ'o L'' 25.6
|
34. An old-fashioned water clock consists.of a circular cylinrJer 10 cnr in diameter and 25 cm high with a vertical capillaw tube 4o cm'in l,ength and C:5 mri in diarnbter attachsd to the bottom. Theiiscosity
of water is 0.01 poise. Wnat is the distance berween hour divisions at the top of the vessel and at the bottom of the vesel? A. 1.12 cm/hr, 0.69 cm/trr C.2.12 cm/hr, 0.78 cm/hr B. 1.20 cm/hr,0.58 crnlhr D.2.2A cm/hr, 0.92 cm/hr t (aL'
.'
35. Conver-t'101101.11 base l.$o;ts base 10 equivalent.
A.42.25
(945.75
c. 48.68
36" How much pressure is needed to raise water A. 562 lusq. B. 426 lb/sq.
in.
torty
in. ig
D.52.3
top of the building, which is 1250 ft high? -'o.
uz
tb/sq.
in.
eoz tvsq. in.
37. A horizont:rl force-P acts on top of the.30 kg block haviltg a width of 25 cm and a height of 50 cm. tf the coefficient of friction between the blocliand the ptan-e is 0.33, what is the vatue of p for motion
to impend? A. 7"5
kg
B. S.3
kg
C. 6.6
ks
ojs.z rq ,Wrt
38" A 200 ton
kain is accelerated from rest to a velocity of ito miles per hour on a level track. How much useful work was done? A. \2,A24,U5 8.t113,922,217 C. 11,038,738 ft_lb D. 10,287.g46 ft_tb
ft{b
ft-tb
39. The ability of the surface o[ material to reflect right is ca]lled:
A.
"40.
creep
B..lustre
C. fatigue
D. crystal
\^/hat minirnum diameter of piper is necessary tc carry 0.500 lb/sec of air with a maximum veiocity 18.5 fusec'? Tha air is at B0 deg F snd under an3ppotut,e pressure of 34.0 psl.
A. 4.80
tn
41" lf 20o cc-: o,f
A.
10
B. 9.80
tn
fci,o.co
tn
o. o.zo
of
rn
il gas weighs g 16J g at s..T.p-,' v/hqi.{s its rnotecuefr,,reight? .,. D.40 F\an o. /.v B.20
t),ju
42.A Carnot nefrigerator absorbs 600 BTU at l.lre low-temperature, and delivers 1000 BTU to the higir{enrpr:rerture, reservoir. Find its coefficient of
A.
1.20
B.
1.30
perfor-rnance. .1
c.
i 40
(o)r
so
'
.,r ;i
r
il'j'[:Rf; D ELECTRICAL ENGINEERS
Board Examination
,::;,ii :ltj!,, August 14, 2010 :'t +::,.j.l HS
481 NG SCI E!{C ES
1:00 p.rn.
-
5:00 p.m
AND ALl,-l E:D SU BJ ECTS
!qnsity of zinc is 455 lb/cu. ft. Frnd the mass in grams of 9.00 cc. of zinc. B. 56.5 C. 46.5 r". S5.6 D. 85.6
t l1r-r
l-)
')+..i.'l-he nrolality
A.
of a solutionof ethyl alcohol. CzHsOH, in water is 1-54 moUkg. How many grams of
192
r
B.
1BB
,/C'..rt7l
D. 162
'rlj.Il<:ltr much centripetalforce is needed to keep a 160-lb moving in a circie 20 ft in raclius at a velocity ,rr lrrii/s? A. 20 tb c. 30 tb D.40 tb / B.Eslb
\-/
,1ii,A'srnall boy purnps up his bicycl,a tires on a day wherr the temperdture is 300 K. Find the iernperature of the air in the bicycle pump if the tira pressures are to be 24.5lb/sq. in. and the air in thr: pr.:mp is assumed to be compressed adiabatically. For air, k = 1.40. A. 74.1 deg C B. 82.1 deg C C. $4.2 degrC, D. 54.8 deg C
tl, trvhat is the maximum deflection. in cm, of a simply supported, 6 m long steel beam with 5 cm x 5 cm cross-section if it has a 2000 N lcad at.the nridpoint? A. 6.35 8.7.A2. c.7.63
48'
a
D. 8.23
l\
pipe canying oil of specific gravity 0.877 changes in size from 6" at Secilon E to 1lB" at Section R. Section E is 12 ft lower than R ard the pressures are 1'3"2 psi and B.7S psi respectively. lf th; discharge is 5.17 cfs, d*qrine the lost head and the direction of flow. A.12.4 ft, Ei to R 'rq}rro.4 ft. E to R c. 12.4 ft, rr to E D..10.4 ft, R ro E
49' A turbirte-receives '150 lbm/sec of air at 63 psia and 245{) deg R and expands it polytropically to 14-7€>ia. The exponent n ls equalto 1.45 forthe process. DetermineJhe power. B. 39,428 c. 3z,agz {. 36,58a O.}O,ZOa np
hp
50"
hp
lrp
(
An automobile of mass 50 slugs is' t6v*1inn at 30 fl/sec. The driver applies the brakes in such a uray that the velocity decreases to zero according to ther relation v vo k (t squarcd), where = Vo = 30 fUsec, k = 0.30 fUctt..Eec, ancl t is the time in seconds after the Uraies are applied. FinA tn" r:)ijrrllant force decelerating the automobile, s seqafter the brakes are appliec. A. --120 tb B. _:.140 tb c) _1 50 lb D. _190 tb :"''!
"*ENDfiT SIJ.BMIT THIS TE{JT QUESI]ON SET'TOGETHER WITIJ THE ANSWER SHEET TO YOUR WATCHERS.
BRINGING THE TEST QUESTION SE-I-OUT OF T;.IE ROOM WILL BE ACTION"
A GROUND FOR DISCIPLINARY
R[::G
ISTERED ELE:CTRICAL ENGI N L:E RS
Board Examination
li.:h.rrday, Augr:st 14, 2010 i
.
ll !.it
4:).
1:00 p.m.
-
5:00 p.m
ilI q8lNq JclExgEgrA N p a L Lt r: D s u B J ECrs
-l'helqnsity /4.. \--l
of zinc is 455 lb/cu. ft. Frnd the mass in grams of 9.00 cc. of zinc. B. c. 46 D. 85.6
56.5
9s.6
5
14'The molality of a qolutio,n_o{ ethyt alcohol, C2HsoH, in water is 1.S4 lnol/kg. How many grams of
..
A.
192
r
4ij' ilow much centripetal ,rf lr) fUs? /r" 20 4ri'
tb
B.
1BB
:.c)1177
D. 162
for,ce is needed to keep a 160-lb movirrg in a circle 20 ft in radius at a velocity
( B.ys tb \_-/
c. 30 tb
D.40
tb
1\ um*ill boy pumpi up .his. bicycle tires on a day r,vhen the tenrperature is s00 K. Find the tirtnperature of the air.in the bicycle purnp if the tira pressurcs are to be 24.5!b/sq. in. and the air in the pump is assumed to be comprer;sed adiabati<;aily. ror air, k = 1.40.
t--
A" 74.1 deg
c'
B- 82.1 deg
c
c. 64.2 deg
ti'\llltat is the maxiniun defleciion, it-_"n.of a simply {i cri:r x 5 cm cross-secilon rf rt has a 2o0o N lead at.tne
A.
6.35
B
.7.O2
c.
G
supported,
miopoin0 '.
7.63
D.
g.B
deg
c
6m long steel beam with a "' --'.' D. 8.23
€rrylng oil oj snecific gEvtty 0.877 changes in size frorn 6., at section E to 1g,, at seclion R$*cdion E is 12 fl lower than R airo tne presslres are 1t3.2 psi anJ g.is pui respectively. lf the disehargo is s.17 cfs, dgep{ine the lost head and the direction of flow. A. 12.4fl, Ero R "grro.nft, EtoR c.12.4 ft. Rto E b..to.< ft, Rto E
48' A pipe
49'A turtrine-receives 150 lbm/sec of air at 63 psia and 2450 deg R and expands polytropically to 14.75!ia. The exponent nls equal to 1.45 for the process. r)etermineJbe power. it B. 3e,428 {. 36.584 c.37.4s2 G}u,iie np
hp
hp
h,D
50' An autnmobile of mass 50 shJgs is traveling at 30 fusec. The drive, ipptie" the brakes in such a way that the velocity decreases to zero aCcording to.the relalion y, k (t squared), where vo = 30 fvs'ec, k = 0-30 fUctt. 'sec, and t is the time in seconds aner tne uraies are applied. Find the resultant force decelerating the a uto mobite, s seqaft er th; A, - 120 B. _:140 c) _r so _190
t? ., . .
tb
..,'',,i
,j : i;;k.;;-ril,'il :r, D.
tb
t*ENDr*r
I}{IS TES;T QUESTION SEI TOGETHER W|TH THE ANS\AER SHEET TO Y()UR'WATCHEFIS. BRINGING THE TE:ST QUESTION sET our'oF rire-nb6rrrr:rrulr-L BE A GRoi*'.-' r"-:.,. D!sctp[-!NAR' SUgMIT
Ae"noN.
illi{i srE
I RED E LEC-rR lcAL ENG lirrr:r;lay, August 15, 2010
i;i.r,;{X&9SLE[$!t
e E ru u
I
NEE
lls
P
re-Board Exan rination 8:00 a.m. *12_:00 n.n.
e p.Jto r ES s o t
1i,I$TRUCTION: Select the conect answer for each of the fcllowing questions. itark g!!y-e,g for each item by shading-!l1e box c.orrespcnding to the retteibflyfur;oic
insvrbr
answer sheet providerj. STRICTLY No ERA:}URE$ ALLoWED.
only. MULIPI.E CFIOICE: 1,
3.
4"
5.
r}
@s.+z
' "
o
c.4.s2
0
D. 5.s1 O
mc,tor has an efficiency oi 90% at fullJoad. The rr:sistance of the fi*ld is 440 ohrns. What is the ftrll-load armature current? A. 54.75 A' B. 51j26 A c. {i3.54 A D. 56.02 A A three-phase w)/e-connecled wound rotor synch:'Jnous g:nerator rated at 10 kvA. 230 v has synchronous reattance of 1.2 ohms pe- phaie an.J armaiure resistance cf - 0.S, ohrn per pnase. VWtat is the power factor such that the voltage rggrulaiion at rutftoao is zerj? A" 0.837 leading B. 0.894 terading igh.eOg tearcting D. 0.BIT teading The primary function of a fuse is to the circuit 4 open C. protect tlre line prevent elxr.essive currents $ ! . D. protect tlre appliance Three inductan,ces L, = 20.2 mH, L2 = 20.g mH and L: 40.0 rnH are connected = in parallel. Find the equivalentindu,ctance. .
160
^ ($a
mH
*n
c. o.Bo
mH
D. Bo mH
A balanced three-phase source serves three loads; Load 'l': 24'kW, 0.6 lagging p.f. Load 2 : 10 kW. unity p.f. . Load 3 : 14 kVA, 0.g leading p.flf the line-voltage of the load is 209 v rms at 60 Hz, find the line cuner!_ "@rszn
4143A
7
:
A 15 HP. 230 o 1B-0^C rpm shunt
A 6.
':.. G--p.;ilIll1'o,"; ...;i.:!, ..
Find the resistance of 50 m of tungsten (p = 5.5 x 10{ C-m) wird having a diameter,of O.B mm at 20 tiegree centigrade. A" 4"38
2'
.
B.
13eA
c.
141
A
fui equal number of electrons is placed on two metal s;;heres 3.0 cm apart ln air. l-low electrons are on, each sphere if the iesuttant force is <
A.1.47 x 1011 B. 1.33 x 101i
erectrons etectrons
[Ni
d i.is;
many
10r{ erectrons'
tiitn;iil;;; 8' A typg of electronics communication in $/hich only one party,transnrits,at a time. A Fullduplex B. Hatf duptex C. Aic.;m ' --'"-"'&;i,ilj;_ 9'
O. t.+O x
A series circuit consists of lhree reslstors R!, R" and Rs wlrlch are connected to a 24a vsource. lf the.voltage_drop across Rr is 60 \,when $ie iunenti-e e and R2: i.aRr, wtrat is the ohnric resistance FL?
A1s
1
@e
c.27
D.28
The parameters for a parallel RLC: circuit are 1 ohm, VZ H, and Jl2 F. Detemrine the type of damping exhlbit by tho clrouit. A normally damped B. under clamped D. crltlcally damped $ouer danrped 1 1' A 240 v shunt rnotor delivers 30 HP at the shaft at 1 ,120 rpm. lf the motor has ah efficiency of 85% at this load, calculate the tqlal input power. A.2s.7 i D. 2s.1 kw @zo.s 12' eonsider a system with sequence impedances of Z(+) jo.zszr p.u., z(-) = j0.20gs p.u. and Z(o; = j0' 14 p'u., determine the fault current at phase A for = single line to ground fault at A. ' A. -j6.4 B. -is p C. j1r D, j5 p.u. 1Q.
kw
p.u.
1po
rw
rw
u
j.u"
I
I?E:GISTERED ELEC'TRICAL ENGINEEIRS $unrJay. August 15, 2010
Board Examination 8:00 a.m.
-
12:00 n.n.
.i*f;$IBlEAt EIgIIIEBlllclgoFEsistoN{L suBJECrs '!3" T&r,e ccmn:only used light $ensor in
-@Photo
!,8. pr.:oto
ttibe
ar
tr-ansrsicL
nEorjerrr fax machine !g fi.re i^ cnarge cocJDte devlee '-' ,-h,rm*
. D, iiqlu[c cirystal,
dis5ela5r
"t4' A' her'"metie rfiotor cornpressor has '5i-arreh cireuit cverfo*d protectior.t
a rated load current ef 60 A- wirlat is tr:e e[lorvahle a.afing ci the of al fuse*? 1c;.+ -8. 140 A *C, XOC:i D. ESA 15' uetarmine the kvA rating of each :tr11qf.oyer. in an open derta bank serving -"l a Salanced three, phase load of M;gs kVA ;t 230 v and g0% tagging p.f. A. B. D. 30
40
-:$n.s
so
-
1s' $uppose that you wish to fabricate ;a uniforrn wire out of 1.00 g of copper- tf the wlro ls to havo a reslstance of .0'50 ohm, atnd lt all the rcpper is to be used, whlt^wrlr 6i thadiameter el of this wire? Resistivity of.copper is 1.70 x 10{ o-m. Mass loii;ia;.ure A' 270 mtrcrometers B. 260 micrometers c. ziro riCriii"tlri'"$zeo rnicrometers I /- li/lrat is the device function number,f an ac circurt breakef?
o"nsiti[;.;i;
'
A.48
8.50
6sz
c.46
1B' Four 3*c charges are at the comers oj square. The hvo charges on thb left eide of the I m side Equare are positive' The two cfiarge:; on the right ere negativo. vllhai ls the field E(mv/m) at the rcnter of e.he square wherr Cr = i?
"
A. 102
is.
c- 153 tvlftich of the followlng cannot have arsingre unii of 100 inw? A. Hydro power qOiesel power
B
Steam power
20. Evaluate aj +
A -1.366 21'
B. 120
plant plant
D.204
ptant O]ruucleai power plant
p2.
+
j1.366
B. 1.366 _j1.366
Thereat:9T"ff:T:9l:1{'^?:3 to have- an-equivalent capacitance' ot' Z_ J,."q- Cr, Ce and Cs all in parallel
if t
O-1.366 -
j1.366
D. 1.s66 + j1.366
pF and cs = 4 xrF. How w*t you connect the capacitors
and_Cz in series then in parallel tb C,r
",$,9
{y9, TC a.it paralletthen in series ro Ci P. Cr, C2 and Cr allin series
2?.
y/fig.!:
the full-toad efficienry of a power transf<,rme4 B. c"
@p.BB
o.so
o.so
)p. o.as :le' Two generatorc GSand Gz are rated t5 MvA". Z equais 0.I€1, t1 Z equafs 0.10, 11 kv, respectively. The generatori anr connected to a transformer of 1s MVA,, 11 per 66 kv and 6 rautt cunent in rt
kv;; to;,
tri|[:t:frf$Tf,,ffiffH:"*. A
12.5
B. 8.33
pe'un['ir,;;;'*$#t o"** iltdhis;
c. 1s.s
o.14.2
?4"A linoar machine has a magnetic flux density of 0"5 directecr into a page, a reslstance pf 0.2s ohm, a bar length of 1'0.f 8ry I voltag'e ,t ioo v- rr the bar i"hloeo .lattery a foroe of 25 N oppositp to the direclion of rnotion, what is t[u *ry"i"nry ttru r"v "'ssr'l';. machine under "nth the circumstances? 4.82.S% B. B7.s% "i C. AS.SV, #:% 25.
A/An
:
value.
relay that operates or pick-up whe* its current exceeds a pledetermined
- {. direotiorral
cuncnt .iByover cunent
33lffiilll![u'**** I
REGISTERED ELECTRICAI- ENGI NEEFIS August 15, 2010
Board Examination
Su*',rclay.
B:00 a.m. -'12:00 n.n.
,ii"{# TRISAL ENGINFER ?6. An ABC sequence set of v. oltages feerds a batanced three-phase, \rvye-wye system. The line and the load impedan@s are 1 + O and 16 + j10 ohms. respecti'vely. lf the ioadvoltage on phase A is
il
V* = 1'10 v rms wttlt 30 dgrees
A.i121.0vmrs
(8. 10s
angle, determine the tine volltage of the input.for phases A and C.
+i60.5vmrs c,-10s+J60.svrms D.-1z1.ovrms
a'l
are auxillary transfomrers used for nretering or operation of auxillary equipment and relays. A dry transformers 1g) ctLnent tnlnsformers B. oil immensed transformers D. station service transformers
2i).
l\ gain of 106 tirnes in power is expressed A. 30 dE ' E. 1200 dB
by,
_
C. 120 drl j
:29,
iJ)oc ce
-".
A 200-kVA irans!'rnner has an iron toss of 1 kW and full-load copper loss of 2 kW. Calculate its percent load at riiaxinrum efficiency.
A.
86
8.
81
c!.76
Gn
'30..A generating station-supplies.peak loads of 12,000 kW,9,OOO kW, and 6;000 klAr. Catculate the rnaximum ddmand of the station and the eneryy it supjtiei; in a year tf rc'Oiversity factor fti average annual load factor ls 1.2 and 0.7. . "nO -i'92:.soo " 4 A 32.400 lilv, 19!r976.s00 t
respee{ivelv. , t$vl-{R 8,279,200I$VHR
'
31. An ele;tric kettle rras marked 500-w, 23Gv and was found to take 15 minutes 3t 15 "C to tlte boiling pclic! Determhre the heat efficienry cf the ketle.
r ,
!.
,e;"'
A.77o/o
'
/ ..
. . Bi B1olo
C-
79%
D
to bring 1 kg of water
. g3o/o
32.'l&ftat is the frequency of an altemating cunent. if it reaches g0" withinA.167 rns? 4.25 (.9)oo Hz B. so c.40
tlz
Hz
Hz
33. The capacitana: bgtween any two cdnductors of a three-philse, three-conductor cable is 2 pF. The
cable operates at 11 kV line voltage and 50 HZ. What is tihe charginQ cunent through the cable capacitance? 1'A. 6.91 A B. 4 A c. 2.31 A D. 7.98 A
t
',
34. The per unil reactdnces of a synchronous generator arb Xo
= 1.0, &n = 0.35, and )Q,, = 0.2S. The generator supplies a 1.0 per unlt load at 0.8 power-faclor lagging. Cilculate tire voltage behind the t transient ' C. 1.17 pu A l.7e B. 1:24 pu pu
reactance. pu
.
.
3$. An electricat outlet constructed so tlrat moisture will not enter
A wattirproof
'
B. nainpnoc,f
.
C. uatertight.
@0.625
the enclosum ls classffied as being
..DTeatherproof
3$.ln E 2*VA, 2,3001230,. 1O transformer the inon arid full-toad copper losses are respee*ivbly -. aM 400 w. Calcutate the efficienry at hatf load g,R p.f. lagging. i A B.9 D. e6.zo/o .- ./
ss.7%
.T%
3S0
i'')bt.ti-
3f- The synchronous p3$a1q per p-hase of a 3
'8.6:,1
e load to a 72,0rJ0 o
clpo:
t
load.
'D. 1 :60
REGISTERED EIEC.TRICAL ENGINEE:RS August 1li, 2010
.$r-rnelay,
Board Examin:rtion B:00 a.m- -- 12:00 n.n.
40' trtfhat is the rninimum vatue of the capacitor needed to obtain resonance with r 300 pH coit tr: frequencies between SOg.ctd 1.sOCl kHZ? A.37.6 c. 83.9 D. 33.e pF B\sz.o 41'A completely transpos$ 60.H2 three-phase tine hasJlat horizontal phase spacing.with 10 m between adJacent conduciors. fne conductcrs ,r" .:,SSO,,)CO cmil eCSH witn S4l3 str;anijing and with GMR of 0j352o fL une length is 200 k;. Deterrnine lrhe rirre irloucti"e reactarrce rdrrue in rrl onms ohms per
pF
pF
nF
,.r_',lro,-
'nTl;o.u
a.
;;,
r))
2oz
+!' fl
hycrilulic turbine receives water from a reservoir at an elevation of 100 meters above it. what is .- m*"tsitTum water flow in kg per s-econd to prcCuce a steady turbine output of S0 MW? B. .. vv,evtr C. D. CUt LJ, L_-t... 50,465 43' A 1'00 kvA transformer is connectetJ to the supply line 24 hrs a day. ln 6 hrs it delivers gCI kw at 0.9 p'f'; for 4 hrs it supplies 25 kw at 0.5 p.f. and i.ir inu *"t of the day it operates without load. lts ccre loss at rated voltage is 1,0o0 watts and_itr t"r roi$l rrrrio"o-q-;""nii" t,ogo watts. what is .\ the allday efficiency of this "opp"i
,,."\
'
7[A.150,247
50,672
so,go6
transfor,mer? 96.7oi B. g0.7ol, c.92.to/a --"ffi,i:X:11ffi"?Lffi-#"fr:j}il,*"?:1l,lll- 300 an,d A"
H.
36
{e.
/.
z.s
--"6r
n
o.a
@
no.zx
o",,"J,,or,en 120 vorts is
r_r
suddehry
\o.
o.zs H 4s. which of the fonowing common*31ff;o"o*oonX. iqnot found in !cs? g. Diodes d tnductors B. Resistors D. Low capacitance capacitors 46' A 220 volts single-phase induction rnotor draws cunent of 10 amperes at 0.7s p.f. A capacitor of 50 o' oo po*u'
i T. ",ff$i! " " "'r$t:J;[ili"
'17'
i"to[Uf,mffi
tH*'
flili#
"
"'o'
what is the force require'd to separate two surfaces with contact rtqu( area et (ic ur "-" wr of 150 r ., sq. cm when the flux density is 2 Testa normal to the surfaces? A. 10,100
N
B. 15,BoO
N
,@s,soo ru
D. 35,050 N
48. At a 1'lS kV subsiation flre pT ratio !s 1C00,ano the.CT ratiq is 1200/5. The potentialgoing into the wattmeteris 115 volts- \Altrat is the l.,l!t{ indicatea whurt -[7.""iJe00 wass?
A
1s0 MW
"
B. 192
rl,ljv
C.,ia
th;;tt MW
D. i9.2
tW
49' t/vhat-is the totar frux emiffied by a ramp having an intensity.of s0 canderas?
liso trn' . c. gaiJ* D..62B tm so' n +pol" lap gonnected.dc ,* oo*, an armature cunent of 100 amps al2o]votts. The motor
h
rif.sta
B.
[Trf#H|ffi.e$,tr A. 145 Y\\/
.
l"ig) 11:
- r.L,
B. 390
c.467
'\
l.Gt.. - .-0'l v:
h:')t-
armature resistance ir o.z o.
s''SI
E"rJrntu-t[u'[il,"
6'oea L./
devetopedi^ r-i-* n
\
tlqls,il
i
*..END*ir
!ca
$IJBMIT "T}{IS TEST QIJESTION $ET-TOGEIHER WI]H THE ANSWER SI-IEET TO YOUR ITVATCHERS' BR|f{GING TtlE TEST QUESTION sEfoui'oF THE RooM wtLL BE A GRouND FoR DISCIPLINARY }
ACTION.
Republic of the philippines Professiona I Reg ulaticrn iomnrission I,{anila RtrGISTERED fff'CfruCAl, EIIGINEER Liccnsure Exrnnination $alurday, Aup 21, 2010
08:00am.-01:00 p.m.
fuTAl}IEMATICS
SET B
{hlSTRI}Cl'toN: SeleEt the correct answer for each of tli following questions. M,ark enlyjbg fu)$wgl for each itcmlty shading the box corresponding to tb t.n"r or"yJ.r;;;L on the answer she,xt pneivided- STRICTLY No ERASURES nlr.owEo. rse pencit ir. z ,riy. ptease do not :e,r'#e ffs"pf* lag on thls qucslionnalre. s.tr{
trL,Tt}r
i.
.8,
CTIOIC:E
tZ
What is the integral of cosudu? A. sinu + C B. cosu + C
C..
- sinu C
i *,'.' ({ v-'
D. secu -Fl
2-
i!'hat is the degrce ofthe differenriar equarion:
3.
A. second degree C. firurth 4ree B. third dcgree D. tillh What anglc musr a tin rrough wirh 60 cm width ,ould be
I 4;r s*sin.r-x3sln y= 3x4 uI tlx'
rlsec firs &g
maximurn?
.bent
so that the volume is
4.30
t"
5.
degrees C.45 deees B. 60 dcgrees D. 9(|deees A rnrart bn a wharf (nier) is pulling e ropc tied-to a'rf slt 'umc6fd6rg16-rh/s. of thc man pulling the rope arc 3.66 m abovc dre*cl of thc *utuu. Ii;;:f"-,If rbc hanrls is thc raft epprerh.ing the wlra.r-f whcn therd are 6.iOm oirror out? A, - 0.75 m/s
B;-0.55 m/3 A tDok shclf contains b
'
A.2l3t
6. 7.
B" 4r Sr.rt1,g
for
A: .o, 'A
:
l-- c<,s
A.0 8.2
of
2,q,.
finxefrom I
to
:.3'! D.4!
a.45o, l35o 8.45o,225o Fincl thc vatuc
if
c. 45'3
lio
D. 45
t50
2
e.
c.t f).
c
8- If it tskc$ one hour to burrn 500 calors, assuninlgthe same rate of burning, how long rvill 9"
it take. to burn 750 catorics? A.45 minutes C. 1.5 i:ours 8.3 hours D.2 hcurs What is tlre cquivalence of lsq. m ti,nm2A. lC00 mm2 C- l0to the 4 rnrn2 B. l0 to the 6 mm2 D. l0to the 9 mrn2
10.
Fincl the area betwecn thr;
A.2T3 B.8A
ctwes
,,i,ar.and cos0:0 C.4R D. 2
;--:" ' ,,;,',; ,-:_.: :.
:1'"
i;,:,;r1
r:l''; ' ,'
i:."
''
F-inrl the arsa
of thc largest rectangle that can be insr;ribed in a semi-circle of radius,
l.?|:ti B. 100
10.
c.so
' ,.
7, of z'l1ro * ra'':t)as z approa.rf.?tr_
t'.rt;li?it
, 1r'r,+illiTil',o^+ z+ Nn
|uyru, r),,' z approa"X.tilllt',L,. c. (8r- 76W6s o. isi r eynn
B. (-,{ -r 1,$, ,r{ space oapsule weighs I00 kgs nt sea ievel. [t rvill b,c orbitcd around the eart]r at a oonsLut *trtitudc of 5,0@ knu. How long (hours) will it takc lhe satcllitc to mrike one odrit? Assumo r:arlius of the caith is 4,000 miles. A. c. 224t B. D. 5.&l 3i5" A towcr c,n a hill is 200m away from a mBrL [f the brlse of the toryer is 51.91-degrees and Its top is 58.24 degrecs. How trigh is lhe rower? A.93.6 C.83.6 m
3"Er 4"58
m 8.51.7m.
i6. ';/hai is thc volumc gencratcd
D.67-9m
.,
lyhen 'Ie a-ea behveecr),: 3x + 4 and
y: x 'is generated
about thc:x--axis
90n 8.70n
A
C" 8O,r D. 60 n;
17. Theequivalent of 9.5 x lOto the 9 milcs in yards. r A. 1.672x10 to the 13 C. 1.529r.10 to the 13
B. t.ll49xl0 to the ll D. 1.582x10 to the if 18" if the lengtlu 2, 3, 5, 7 and 9 ;arc to be used to form a trianglc. Wh-at is the probabiliry that a
**i':# rormcrl?
c. 3/ro
8.4/l
:
:i '
D. 3/s 19. .TwoparticleshavepositionsattimetgiVcnbythcoquations$l=t3= t, s2=6tZ- !3. , Fild their velocitics when thcy havc the sannc accchation A. 2,4 C. 4, g B. .2,9 D. 4,9 20" tf 19 kilos.of gold loses I kiio; and l0 kilos of silver loses I kilo when weigtred'in water, find r.be weight of gold in a bar of gold and silver weighing 106 kilos in air and 99 kilos in waLcr
.- 21"
?
A.76kt1os / B. 55 kilos
,
C. B4kilos D. 58 kilos
FinC the cubc root t>f 27.5 by using differentials.
a 3.0187
, 22. At
c:3.0186 D.3.0185
8,3.0184
what point on the y-axis does thc line segrnent joining (1,
l) and (9, 7) subtend t}e
greatest ang.le?
A.y=3 B.-y:?
23.
"
C.y='4
Find thc area boun
&n B. a2/+
by {i + J, : J;
')4. Find the second derivative of 5'with
-2ntt
i! - j/4r 2
y= 5
c. azl3
tt.
A.
D-
i
gaTa
respect
tol
x==t-3+1, ,-:t2+1 :
:
of the parametric equation
',
c.
-?i9t4
D.
- l/3t
dJ.t a .r
:
._!
-.;
.., I
1;
,,
.' at that point is is negativcl lh: o'*" curve a of cquar.ion t1c of .,.ri_ s/he n the second derivative n**n;r". in vhat direction? . . ^L ^ ^ to rhe right C. A. to the Ieft D' uPward' to bs folded IJ- dowrwarcl r"ngolof the eqch side that is trre is what ft. 12 of wiottr a z{,, A !*:tg tin sheJiras tr::' r*iximrrnn caPacitY' n r r'^.-
. A.3 feet ' B.i.i?", B.}fwt .on + Cl + Dx + Ey'f F:0. If rL\ fo"#i*iTgrqy fetrrr u. tne has llas cquirilon degree 27, The gencral sccond g'u ieC > 0, the equation describes c' ur elliPse. ,r" ;"rrJr" D' a hYocitola B.
a
parabola
u"u'io'!t;ifi;P*t-
wall' It'the wall is 3-
bver by nrsans oru be used' ;1,$.. *\ building is to bc.bracecl [r]iain'" ru,o &.Tlrrirtest bcam that can 3/8 feot nign ana sta'ds 8 feet
ft;G
B. 1?_7/8 ft lhr) 65 n approaches ?,9. n*t,t'*Jii * ny
"'
A. I
D.
;'#il?
t-
,
2 \t 27,", the
determinant are proportional'-then
ro-Koi,
4)'o: ii. multiplied try the ratio
3
[1-l/8.& :. . r
zero n non-negative'
corresponding clemc.rs ot' rrvo value of the determinurt is
30. whrB"'$.
a
C. one r)" unknown
r!.- o.a:r':i ^:'"andT'-]:l': outside the 31c1= a(l '+ coso) Fin6 the area inside tlre cardic'id {
A On-;t{ +"21u:l G, (d4
c
A
l':fii
'
'':
;'
:3x 2 + 2x + 't' '1:'2 and'thc a'16fi'-:--i;j-;
'
''
'..),,i.i. :.
D't(2t3)* , ,
enclosett by v*v'v'v'l 'y '/ 32" whar is tbc urea 'uw A t a i" 'v
8.24
,Y^*'
a ''
@) zo D' 1
33.Asurrlcyof500telcvisionviewcrsproducedthcfollcwingresult''. 285 wiltch fmtball garnes ':' ! i lgi w*tcU hockeY ganres i'
It; ;;[ilk'iu'itlgu*" and basketball
watch football hwkeY ' ZO o'ut"tt football urd basketball 50 watch hockcY and ;0 not watctttmy of thc three games' only? How many *"t"h football ganles c-
''
r'
;
{5
il
A.?30 s.
zoo
deck of 52 3q. card is drarxn from an ordinary face card
or'heart'
A.
r/18
g.ltSz
35.
:
t60
r
'
(fl rm
is a dds. Find thc probabitity p$^t the card
/^
!-
^.
itno
I
:
[Q Y't'/'
at the rate of 3 cu' in' per basin of dianrster 20 inches hemisphericar a from &ains water is 5 inchcs? second- How fast is thc watct'*""i'r"tri"*;'fplt*ffi::*""r A" 0.48 B' 0'g3
36.
'
iry'min irlmin
.0.55 in/min D' r
per;nin' At *te instant inflared u, ,h:_,,11i10 cu' fu belng is balloon A sphrerical ts the surface area incrreasing? radiusi i:; 15 ft' at what rate C14 cu' fvmin y'.'. 6 cu' fllmin D" 3 cu' fl/min
B-
5 cu"
fllmin
t'he
3:l' Convert to cylindricat coordinate ;system given the rcutalgular A. (l ,45a,,-Z) s. $lT,*450, - 2)
coordinates (1,
- l, .-z)
2) r, D. (t, _ 600, 2) 'j r-i' A rectrurglc is irucriberl in an equilateral triangle t"i,ti, 1j .*iia.r, such that cine sides of Itrre ractangle C.
.tJi,
(;0o, _
rests
zr,oson onc side oithe triangle.. .z3.Ez , 8:22.73 D. t9.48
(S
it.
rY *
'lii.
a^2c'os(jlO)
i.s
thc equation of
.{-nrsette ' B. limacon
lhq
.bi:rectors 4""
'I1'
c
of tlre three angles of
',)
C.
pile.
u o,*nro' caled --- - the :-- ; orthocenter '-
rn.urui
in trrYrorm oru py**id with a square base until If therc *" zs sp['.r"r '- uitrr"Lao*, hnd the total
'
C, IIO D.
53
pi
t'.$*,34'J*n
C. (3/2)a? pi
orthe circre inscribed in rhe
ilSf*.i+d
Zx*.3y+1ll=0, 3x-2y-(i:0; U+3yIg:g''
B. ,2 44"
.
rinj the area bret*'een the witch.y ,= ga 311a2 + 4n z) a,rd iis asymptotc. A.ZIZ
,7
@temrris:ute D. carclioids
a triangre
;lipheres of the same diarneter are; piled thcra is just onc sp-hcre at the top layer. number of spheres in the
A. 125 8.55 ' ,12,
a
.-
circumcentfir
.
t y2 - 6r-ty:8
Find thc rectangrilar equarion
+5:A B. y2 : 7:t-6 A. r2-I
of curve
by the lines: u. .-,--
fE ,z *.'i? y+-ri;r:'s x = 3 - t; y : 1ij--* C. xZ = 6x+l-7 D. x2 = ..rxy * 5
- --
An isoscclcs trianglc of maxirnurn &rca is irucribcd in an, eilipsc with m6jor ocis l0 cm and minor rucis 8 crn" so base is parallel to the major ocis and trrr opEirit" vertex on at tl 9: *nd of the minor a"xis. Find the area of Ue triangle.
,|6,
A. 26 B. 25
A numter whir:h cannot be the rool. of an integral rational iqwition is called a tsy transcenclental number C. irrational numbcrs
.
d'7
48"
C. 24 D. 20
number irrational noration
B. EuleCs D. nuural;";b.; . I'ttc charactcristic is equal to the cx.Donent of 10, when tho nurnbcr is wriuen in A. C.. exponential B. scientific logUtf,mic F'ind the area of a rriangle whose vcrrices are l,rcarcdlt (3" 0,0), ( 0, 4, 0) and(O,0, ,,\.
@
9.46
ro.re
d
c" zt.sr a.iz.::,)
49. Find the equation of rhe hyperboia rvhose asymptotes are
$n,3).
A.3r2.-f=e 5x2 -f )5 .B" .
,=
50.
FinrJ the sum
y: * 2x.antl which passes rfuough
A (d4r2_f=t5 n.Uz-.)p:4
of the coefficients in thc expansion of (x _ 3y),r. c, _ 5 t254
64,394 B. - 32,768 A.
D.25236
***F,Nn*rf*
6)
Republic of the philippines professional Regulatlo., io*riirrion
, ft{-1
fi }sl EI{ED
El-
I',lanila Ec)
R
t
c.,\ L I;N (;I N U ti R
r.,i cr-.r
Er:urrirur* xr
u uru
F"{onda1'. Feb. 15, 201(}
()2:(X) a.m.- ():i:0t) p.nr
frlATHEMATI(]S SET B
NSISUCION:
Selecl the conercl arrswer for each of [re fbllorving questions. MarL.onlv.he a4srr.el lbr ear'h* {lenl b1's}ratling the h|x cor,responding to the letrer of your-ioi*" on the ans\yer sheet pror.ided.
sTiql{:rLY No ERAsi.'lt'ES A LLOWED. li,t,nnuira
LJse
pencil no.
I
only. ruosc do not witc oaything
on this tlu",-
stLiLTIPLE CHOICE
l'
'4 rectangle is irscribed in an equilateral triangle rrith lo cm sides, such thar one sides ol'rlrc of the trianglc Detennile the area in -a ----' of the largest possrlilc -- sq cm.
recuurgle'rests on one side inscribed
rectangtc.
I
A. 21.(r5
C 2l.t{
B. 22.71
t)
2
19..18
Find the'olurne gent:rated b-r'rer or'ing rrrc ivea boundetr br.r, l. ' .r y = 8. -r = t) about dte t'..-sr A. 61pr/7 C 768ptl7 5l?p/5 D. t)6ptl5
'
&
Arechngular
tro-x rt, ith cn c)pcn top is to hc mede frorri a picce of cardboard 6() cor. square br curru:_,: equal sqrrarcs litlnr,.:ach c,OoICr rttd lrrrnrns ull thur purtincnt portions olthe carclboard to forn: rh., sides. Dgtcrrninc b'culctrl,s tllc rrru.,rrrrur.,i ,,.rt,,n,* cl'thr: bor. .-1 l..itltt crrr ' (' ,.r,1)(ttt crD r
8.
-1.(ltxt cin '
I(r,( i.xt cnr r When the sL'ctxd dcrir attr e ol'thc cquation of a qurvc is rrcgatire. he curr.e at that.point rs '''- ''> cogcii\ in siru
l).
r,
drecrion'l'
A. to the lell B. dorrnrrird
C. to tlre nghr D. up*'ard
5- Find the.point of dre cun'e. r = .l-r - x I rr.hcre ilre cu* aturc is masimum A (2. {} c. (.t, t) B- (2,31 D. (1,2) 6. !fa college basketball coaclr hod 3 sorrs in a l 2-plaver tearn. in hon' nuuy \,r"!s can he select rhe llrsr 5 plal'ers
a
if
at least 2 of his sons i\-ere inclurled
i
25CI
B. 272
D.
23tir
C
3cc'sh
7. Find &e derivatiye of cosh :I4r.
A-
'ts.
l2cosh r4.r sinh ,lx
4cosh
l{r sinh -l-r
8" Tlxrorbitofllallef
l4x sinh 4x
D. I2r;osh24.rsinh 4x iCornr;{aroundlhesunisaneJtipscwidrrhcsun&safocusandeccenrricrt-r.e
=
0-9t57. the position rr-hcre the come i is closest to the sun to the position n,here it is faitlresr lronr rhc sun is approsimatelr" J^J6jl ri ( l0 the 96 pouer) rnjle;. Approximatetyhow ctose the conrer gers ro
. the sy:r in million rniles. .4. l3
c. s6
.r E
D.2l
It).
Thrlre are n couples at a part)'. Each ntan shrkes hands wit-h everyone else exo:pt hrs, sr:ouse N,r handshakes talie place betn'een \\'ornen. l{orv nranyhandshaJies talic place? (a! a pol.vrromial function of n)
Ani-t
lB"
n(n- l)
C. (n- lXn-2) D. (lf,l[3n^Z - 3n)
ii)
.'"1
ol'hr:rlllrl .f ll lxrrrgs on u trull rr ttlt llrc truttont of thc painting 6ft aborle tlru llot-rr I lorr lhr thg rvall should l.indsay whosu cl'cs are 50 from the floor, stand in order to get d:e best yicrr'
1r-" 61111,y.
fi*rtl
*flt-ile pdiniing (the besl vietv occurs r+'hen he ang.le of vision from rhe bonom to the rop of rhc parnlrng ma:timiz.rxl )'l
A.3n
Ozn
s.zJR l
!
'
D.2.?5fl
a
"!ust before rrudday rhe body of an apparent homicide victim is for:1d in a room thar is kept ar constant temperature of 70oF.At l2 noon the tenrpcraturr: of thc body is B{F and at I P. M. it is 75"F. Assumc that the temperctue of the bodv u the time oll
.4.
8:.12.{,.M.
C- 9:lgA.M-
(Dro*eA.M l?. Wih
D. ?.53A.Mr.
a throrv cf 3 ,Jice, rvhat rs rhe probability of getting a g
50816 B" 54nt6 A
oi an I I I
c" s6t2t6 D. 52f2t6
13. Find thcequation of a linr: &ru (.t, l)perpendicul:r.rto therinE
2x-3y + 4 =0. C. -ir+ Z.),.- 14 = O D. 2-r- 3y+5 = g
A. 4r+5y + ll =, 0 B. 6r-3y -21 = 0
l-1. ln horv nlafit'\ravs can 5 perxxrr; he seated in an automobile hrrving places for ? in the front seat anil I tn ilie back seai if only I car, cirive
430 B. 36
15.
t(r.
C.60 D. 72
Furd the ocluation of the planr: plssing rhru poinrs (5, 4, l), (4, - 2, A. 4x -Zy- 3; = C.'Sr+ 45, .t 7 12
9 B..r-6yt5;= i5
=
3 ) and (0, 6, 5)
D-2r-3t,-t4z=2
Find the value ol-r in
.r-L'+.r; ,- -
dtl ts.tZ I
-
8
rJ'f 't: = I 5.+1r =_3 C. D.
?. rind
t3 t4
the lengfh and *'idth of thc targest rectangular dicular sides 90 m and I 20 m,:f the rriangle.
. ; ' " building that can be erected facing the perpcn-
A
60rq45m C. 80rq 60m B. 9orq 40m D. ?5rrr' 36rn I8. ,{coio is biased so t}rat the heaC is trvice zs likely to occur as tail- If the coin is tossed 3 timrx, rvhat is tln probabilitv of getting 2 uils and I head? . A- A9 c. ?w7 B. 4/9 D. A3 t9. AI thc minimum point" the
A
infurit,e
slopx;
_ C. grcsitive
of the tangcnt line is
.. ' . .
,':: :, i,!:
.
: 'jLli"i ' '' ':tr B. negativo D. zcro 20- L€t u= ,!dF . Find the error rvhen i = 100 fl and founcl wirh'an *r,ii'of6.3 ft Find the error in ':'
ti:e velocity.
A
0.4 fVsec C. 0.3 fl/ser: B. 0.2 fl/sec D. 0.1 fVse,c 2l . \l'iren tlre second derivative of tj:e cquarion ofa curve is ru:gative, the curve sl'$al point is conca! in siut direction? A. to the le[l C ro the right B.
dorvnward
?2. Frnd the nrh term 6f 6, 7,
A.2n+6 3. -4n+6
D. irp*ard
-
2 ...
C.2n+ll D -4n+10
e
l
l,l
('lrrborr cstrlrclctl Iir)nl ut)lurciuill sIrrll
-''';:'i:l'#lll;?'"''.,;;;;'i"": iil'ffi;',!li:i:[]';11,il;;fi tii.
'-
I
6,61 x'r
B.
c'
urus
,il1'J,"J];il?:i*'' A.
r
of arr eripse is .r ancr
C.
4.J71
,, 3 rhe disrance riorn
ure cc,)rer r(,
(1.0.17
,.rru
f"5" r"ind the areo enclosed b.y drc cun.e 3/S sg.
A unirs ' B. u3sq. unirs
l'1,735 y ears
'-,3;,];lli'Jl1
7.685
radiou'l r c 'r( rs e rri"r
-;lr
= .r=_ ".,. C' 44isq. unir
26' water otoi"l'rtom a hemispheric*r
"Tfif#il"er
reren
i,,i,g
basin.oidS;,{;t:rTL ,i rhe rarc of 3 cu in. per seconrr ",t,Jie deprh oi,*r* ilfr,.r,or
C.0.7ri in/min i,;; {?. kr resring ";;;;^ kind or.truck,;r" ou.r, *f,g:;::;H:i is round tharzlyoorrhc rruck rirrr t,, ts.0.83
n:Hil1.fi,'*T,:J*11."''''c'ur A. 0.46t3 B. 0. t652
:9. A brig corrrajns -l rc
I
'Jre flrst drarv is
ut,,,"oui oi,r.,r,ii-,
c.
grec, balls a,t,
i
A. t/3
?9. Find the,rcchngular equation
r = lnt,
y = t24.ry-lny+6=11
'
'
curve
valuer otsecona
a"r"r3r"?#lr,rr.*;j C'
a priure
rorvs) ora rjeterminanr
Denlolrarhir^t
by *re parabo
-'
l-
ra,y
:
4-; r and
dre new daerminanr is
rhe x_i^is.
the_-_--
or
C' negau'e D' Same valuc
trarspose ,*tiu,n
"
2.1t0
areti"rlnu.l**
inverse
btoo
Positive
ariffi c.
" J:i#ffifr .
2
C'Y= e}-l
of the cenrroid of
fifttc
33. Supposxl rt
a rcd bair rn
r.
3.552
B. A. B.
ol
negarive
ttl.T
0.7071
D.0.7:t37 brue bars. nre probab,ity ofnot gerring
D
=zrsy
30.AI maximum polnr, rhe
B.
rurd rhe probabirirl,drar ,rr:rc 5
ct
D.a3
B.;le&
rii,r.r,r;;,;,
,*ili#,:ffi;H,Jised ;,
io ar.estherize a d?g
]f,"
dos is anesrherize *,hen irs
;;;, JTiffIHJfi ffirJ,#ilffi [i* ix; :#i:i[ ["Js lil" r"rt ru;: l;[ i]- 6 "; ; ; ffi -r, " r :_'*" :
f
t.,:
os
1.r 1'
-;o;;
u
A.
2,41t5 mg
B. 2,58-s 3a' A drug rot
C'
mI
a" tir;trof
asrlrma r;an be
,**t{
n'oiTo,n r.nr rnanufactu
cto
B.3o 35. Find rheiansenr/s ro rhe parabotaF
A'
r-y
=
t'
B. 3r- Zy =
l,
= o, -
sho,r o bc
ad
minis r ere d in
o rd
e
2,385
;:#',m#';lll'*;J;:*',g;ffi .,{. 2!
-'a',m
;
eru in riquid. rabrer. ur
ffi1T:i.;;;;;',ilx",'..,,scana
,i6lj|*n tr, ,l
t' Lr-Y =' 9
D. 4x-3-v
=
13
l,l
('lrrborr cstrlrclctl Iir)nl ut)lurciuill sIrrll
-''';:'i:l'#lll;?'"''.,;;;;'i"": iil'ffi;',!li:i:[]';11,il;;fi tii.
'-
I
6,61 x'r
B.
c'
urus
,il1'J,"J];il?:i*'' A.
r
of arr eripse is .r ancr
C.
4.J71
,, 3 rhe disrance riorn
ure cc,)rer r(,
(1.0.17
,.rru
f"5" r"ind the areo enclosed b.y drc cun.e 3/S sg.
A unirs ' B. u3sq. unirs
l'1,735 y ears
'-,3;,];lli'Jl1
7.685
radiou'l r c 'r( rs e rri"r
-;lr
= .r=_ ".,. C' 44isq. unir
26' water otoi"l'rtom a hemispheric*r
"Tfif#il"er
reren
i,,i,g
basin.oidS;,{;t:rTL ,i rhe rarc of 3 cu in. per seconrr ",t,Jie deprh oi,*r* ilfr,.r,or
C.0.7ri in/min i,;; {?. kr resring ";;;;^ kind or.truck,;r" ou.r, *f,g:;::;H:i is round tharzlyoorrhc rruck rirrr t,, ts.0.83
n:Hil1.fi,'*T,:J*11."''''c'ur A. 0.46t3 B. 0. t652
:9. A brig corrrajns -l rc
I
'Jre flrst drarv is
ut,,,"oui oi,r.,r,ii-,
c.
grec, balls a,t,
i
A. t/3
?9. Find the,rcchngular equation
r = lnt,
y = t24.ry-lny+6=11
'
'
curve
valuer otsecona
a"r"r3r"?#lr,rr.*;j C'
a priure
rorvs) ora rjeterminanr
Denlolrarhir^t
by *re parabo
-'
l-
ra,y
:
4-; r and
dre new daerminanr is
rhe x_i^is.
the_-_--
or
C' negau'e D' Same valuc
trarspose ,*tiu,n
"
2.1t0
areti"rlnu.l**
inverse
btoo
Positive
ariffi c.
" J:i#ffifr .
2
C'Y= e}-l
of the cenrroid of
fifttc
33. Supposxl rt
a rcd bair rn
r.
3.552
B. A. B.
ol
negarive
ttl.T
0.7071
D.0.7:t37 brue bars. nre probab,ity ofnot gerring
D
=zrsy
30.AI maximum polnr, rhe
B.
rurd rhe probabirirl,drar ,rr:rc 5
ct
D.a3
B.;le&
rii,r.r,r;;,;,
,*ili#,:ffi;H,Jised ;,
io ar.estherize a d?g
]f,"
dos is anesrherize *,hen irs
;;;, JTiffIHJfi ffirJ,#ilffi [i* ix; :#i:i[ ["Js lil" r"rt ru;: l;[ i]- 6 "; ; ; ffi -r, " r :_'*" :
f
t.,:
os
1.r 1'
-;o;;
u
A.
2,41t5 mg
B. 2,58-s 3a' A drug rot
C'
mI
a" tir;trof
asrlrma r;an be
,**t{
n'oiTo,n r.nr rnanufactu
cto
B.3o 35. Find rheiansenr/s ro rhe parabotaF
A'
r-y
=
t'
B. 3r- Zy =
l,
= o, -
sho,r o bc
ad
minis r ere d in
o rd
e
2,385
;:#',m#';lll'*;J;:*',g;ffi .,{. 2!
-'a',m
;
eru in riquid. rabrer. ur
ffi1T:i.;;;;;',ilx",'..,,scana
,i6lj|*n tr, ,l
t' Lr-Y =' 9
D. 4x-3-v
=
13
-J{r Perl'crrnr tlrc indir:atctl
I D.-2tj A. 3
operltrorr J-v
r
V_
-'2
ijf 1..'
ZIJ,
,
D.2t
7. A culture of bactcria gro\(,s rvith a constant of
0.t12
1.
__)
,,,,.'\ (-
io(),(x)0'l
A. 2(Xr.-15 B. ?3().2fi
3ll" An isoscelx righr triangle A.2n2
I
-'' -t
- .:
^ ^t l.(Xxl to Holv,long wrll rt lalie lo gro$' Ironl I
.'(' i -\.-ra-
C. 2()1.?6 D. l{}9.31
:
has its perinreter'l'0.2{?6 fr. What is the area
''
of the triangte'l
i rt2 - ' C. B. 4.5 n2 D.'q fi:i" 3$. Evaluale ( I + l) riused to thc I0 A. *2i c. l2 B. 32r D. 2i a{i. Finri the perirneter ol tlrc lar,qest rectf,ngte rhat c.rn be r;rs;ribed jn x/400 + 1y'16 = l. A. 4(X) c 4t6 B. 41.(r D. .lo 41. Acardisdrawn[r'ornanordirrarydeckartl\\earetottltlratitisred.Whatistheprobabi[ir1 thartlrc card is gr$ter th:ur 2 but l*;s fh"ur ti'l t.'- : A.
(rl
u.
ll
t2t5t
42. Er.aluate tlle lrrnil ol'srn r all or cr.r
AI B.
irrfiiiitv
C. ii}.(, D. r l,'J? iL\ n ri)proaches z.cro
(' tt Dpi
'13' Determir,e lhe equation of the line tlrrou$r (3. .l) \\hich l'orrlrs, rvith the pgsirivex utl positire.r a\es. tlie triangle *'irh the leasl arer ('. .l.r r j) = 2{ A. { .r + 5-r'= JJ B. 3x + 4J'= 25 D. 2r -' :l;'= 18 44. Carbolrestructedfronrurarrcicrliskuil containcdonir.oll.,-s;\thasmuchradioac.lirer,Casc;rrtr.,,., e.\tractcd lionl prcsent-da_r' Lronc. I'torr old is tlre skr:ll ri i == 1y.1111g 2;6'1 A. l,.lt/). 1'uars C. l-1.71-i ]'uus B. l(r,(r ltl l elrs D. 5,?(Xlvears .1i. Find the equation of thc ralgent linc tcr rhe qraph grvtn (.r , Ir It lJr,,)l = x + y+ 6, l1
A. 3r- -y= 6 8. 2x- 1'= 1
C.r+),.-3 D. .t '
(.
3'=2
I
('
.\
-
4(r' The rectangular coordinatcs of a point ur' /square roor olS, l The.polar coQrdfiues cf.rhis pornr ). are: ,1,.
pil.l) R /? ni/?)
C. ({, pi,/l)
-17. Find the radius
olrhe sphere rr,hose equari,rn is ;rl+ y2*
A.
(-1"
n u
.5
B.:
/1 ^:r-(I \;, PL \',,
:2 =
c.9
t'/ f J' :( 6x !2.
D.^l
\
'tli. A bag contairu 3 u hite balls urd 5 black balls. lf I balls are draun in succession \uhat i:; tlre probabiiitr tirat both bljls are black'l
A. -"/l.l
*ifiour
i-
repku;ernenr.
c. ,t/ti
8.6!t1 D 3/r.r 19. AmcrkstnarthttsT-s'.li,ol-iill histrrgetr; \\/l:at isrhuprobabilrty'ofhittinge.\acrll'-lol'lrisnc\r lri shots'l
(' {) r)(}li)<: .,\ () {)l{:11 B. 0..1(X)5 D () 00I 622 50. llre fcrllorr-ingare thc vertici:s ol'a triangle, ( l, 2), t9, ]), (4, ll
). Frrd tlre equariorr olone ol-r]:c
medians
A. I0.r-tl-r,- il I ,.).r I .lr, = l(,
C. 7r + l3-r. =- !rJ2 I) l7-r F 2t- = 9U
Republic of the philippines ProfessionaI Regulation Commission
,
I,,tanila
Ii fi G I S'I:ERED ELECTR.TCA
L ENG I I.r r: E rt
r-i
cerrsure Exarn
rn
;rri,rr
st..'t'B
J"NSItsiicTIoN: select the correct at)srver lbr each of rlre following quesiions. Ma.rk onty rhg. rlg$wl for each i"P-! the box corrcsponding t. rhe letter of your 1!$ing choir:e,, rhe,.S\\r.:r. slre*t provided' srlUCit-y'Ndertasunes At.t-ofEDr. Use pe*cil no. 2 only . plau,-e d, nrtt wr ili uny lh ln g on th is. uestion n a ir c: t1
r'rtrtll-ylpLE CI{OICE t.
)
3.
4.
If the area bounde
Js j-r: ,i,r..r = 0-.1, =.0 is revotvecr ab'ur r. (r Find the molnelrt of irrerlia rvitlr r.csPccl lo tlrc a.xis ol.,..rrol,,iiu,.,. .1.. nia5/ t :o . : ,i ,.. l)tat_t)\, ^ B. @(p,u:sng, tf l9 kilos of golcl lose-s I kil': rrrrc l(r kilm ot'illu"," i.rses r kilo rvlrcn rveighercl in \\.,rLl. find the weight of gold irt:t trar ol'gokl ;rrrrl silvcr,,rcigii,,g't06 kilos in air ancl 99 kilo: irr tvatef ') :t .1" -.,- a ' ..\ (Al 76 kilos (.. :lJ kitos B. 55 kitos I). SiJ kikis The bisec'tors o{'rhc tltrcerttglcs.t':r rriaugic r}}cct itr l corrrrnou calle
piaSrao
used. ;
A. B.
. L.,l_ r,,,
fr t7-7/B fr 15-5/8
,
C:. Lj_:i/8 fi D. I t_ ti8 fr The perimeter of the trialr:le ABC' is ct;ual to g 1r. sin.{:sinB:sinC = j:4:5. Firrcl r5c smallest side,
A. I 8.3
6.
II:i".i r.rs rl.rrre a-ri-^rvruuldlc
the x-axis.
A. B. 7.
G),
r). 4 ^ c ^r,ng cgllll.ol,-l ol il plattc ut area boulrded b-y the pnrabota
q. 2.u(l (ij.' i oo
4.247 3.552
Vy'ater drains frorn a henrisplrcrical basirr oldialnctcr'20 irrches at the rate of second. How fast is thc rvatr:r. levei lallirrg u.,hr rr.th.c tlepth of water is
Find the area borrntled
a.
L9
by G ,i,
aztz
R. a2lq 9-
Find tire rectangular erluatiorr ol' cur vc A. r2-l .F-s=,0
B Y2 = 7.r-6
_l
5 incires /
A. 0.43 in/rnin B. 0.83 ir/nrin
8.
)l = 4 __r 2 ;ur.l
Q.-20 in/rni1r.
D..0.65
.i;
iilniiu
t'. t-it r r7(I1(l z1,
-r - .t *1, _u = t? iIi' .t 2 ' 6n'' .r, * 7 D. -r2 ,. Zr1, ;5
-z
cu. ilt. lrur
r"Cr' t0.
e>:Pans
"''tl';,f$r5;;
;ll lt:, y''
i
o,, or (x -
11
I t,
*
4.. l5
|.1tr.x
^kt-;f
i )
= 2 and the axei.
q29
24
;
D.'*r-
t2. [;ind tlre tangent/s to the piu'ab,rla x 2 A'- x-Y =' 2
B. 3"r -
j
Ji ,-(o
D=gJttfi"-y'e
What is the area enclosed by y = 3x 2
R.
-ta.\ ,,.r j'.. .-.-\ v) ?8 alCs 0-{Y)
(Q'tt-,<9or:'?
8. 3,345,900*'o
tr"""-!'o'
2Y
=
6y
* l0
through
(7,5)
.= 11
I3- A card i5 {pwn from an ordinlry deck of faca cardp.hearr.
ind the probability pthat the card is
a
A. t/t8
c. 3/tB D. % 1Q If an*alloy containirtg 30ozo silvcr is nrixed with u 557o silver alloy to gets 800 pound: ot' a0%2itll9f. itow nruclr oIeaclr nrust I.r-' used? (/tJ 480 ol)0%,320 ol'557o' C. s00 of 30Zq 300 of 55% B. 55b of 300/o, tso of sjyi, D. 200 0f 30a/o\600 0f 55g,0, Find the area behvee, the witch,y = 8a 311p + lqzs .$tQ its asymptotc. C. t|/2aZ -A. 2a 2 pi +a? D..5i2a2 pi n; ft) Find theeqttatiott of tlre circle inscriberl irr tlre rriang!e forined bythe lines:
:rsz
14.
15.
ii
16.
17.
r8"
b-3y+2[ =0, 3:-2r,-(>=(]: Lr+3y+9=0. (1. ,3 + yz-Zr+4/:g A. xZ u y2-l\-tl.y=B ts. 12 * y2-{',x-4,.y=B (6)(;z yjzor.jy=g The chari'cteristic is equal to t'ne cxporrenr oI ili rilren-,SEiiuin6er rs wrrtten i1 A. irrationll C. exponential
Two positive numbers nrriy bc irsened be nh-en i iurd 9 s;uctr that the first tlree irre irr geornetric-rrosressiorr. while rhe last rlrree are in ar.ithtnetic progression_ What is the surn of these'two posilve iiurnbers? "1'
r1!5'
(frD I D: oFYr'
A. . B. 12.25
19.
?0.
21.
lf 31sx +. t)-:
'
loi;2x i f- i ;r) [n :
A. i'3
-
D. +z rli
@-r
l7r:,
t
@oD
ol * 7y = C.
r(li}'r'r
C
B, 3ry - 5y = Find the qrea of a rriangle rvlic,se vefiiccs
A.
9.4{.
m:fif.r)
23- \rri,KGno-nespondi:rg elerner)ts oI two
6](G" .
B. m-ultiplied
24.
i i^; lff" U=, S -, '-i ';q; 1 ' "*.Jf'\I, C:,.
Find the cube root
A. 22.
9, then tinct
:
ratio
c;.{lv}rI*1c' (il*zv +.y C ). ==
*eibtitpa arr(3iO-, 0), ( 0, 4, 0) and(g, 0.6)
c. 2r.83 o:zz.ii''i:" , ''rr}fl'
rows of a dcterminariil*'i.I[qpgg91i.rl. thcrr rlrc
C. D.
on(:
by rlre urlcnorvn Fuici the'r'olume generatcd by rcvolving the area bogn'iied by'-;,,'= the -p-a;ds.
A.
6apt/7 5t2prt5
x
9. 7gfir(7 Q.oong)
y 3, ),=
B,
x = f) u[1trr
?5.
Findtheequationof theplancpassingtlrrupoints(5,4, 1), (4,.-2,ig)and(0,r:,5) A. 4x - ).y,-32 = 9 C 5.r1'rfy+ z = 12
.
il. x-6y+52=.15
@',j, iy*y-tr.-:zS
'l,i), Findthecbordinates of the centroid of the areaenclosecl.tryy.-r-.r2
and the
y"
0 about
the x-axis.
'i'/, '
A. (tn,3n) B. (1i3, z5)
O,@,.,{l0r' D. (U3,2i3)
If tbe area bounded by.y ='.y, .r " 2, arrci ,y ,. 0 is rcvolved about ,y= 0, find the mornent of inr:fiia of the. solid fornred rvith respect to tlre axis of revolution. A. 17 pU6 C. 14 pil3
,.,(, r\t
@).-Pis;
,.f;,n1i,'jl1r,r* (1, l)
what p6iit on the y-nai5
WY=z
).'). lt'x'ry=2, x2+yZ
10,
A.
=
3,
lin
6.65 6.55 Detennine the solution of thc inccualirv .r .
ll,
Yi=,
of.p{+y'I
$)
a'so
D.
8.75
'( ?-
/g)-3<.r<3 / D. - 3>x>'3
Two particles have positions at tiine t given by rhe equations si = t 3 Find theirvclocities when tlrey have the san:e accelerarion.
c.
& ?.j. 6i ee) 'l'he
.
hind the areh enclosed by the ciirr/e.v 2
A. 3/8.iq.'units B. 2/3.sq. units
=t
2
-
q'
- t, s2=612--,3
4,8
h'eneral fenCrd ssecond degrec equation has the fonn Ax2 ,- Bxy 6?- 4AC.:0' tlre equation ilescrilres A. a circle C. an ellipse D. a hypcrbola Q/ a'papbola
S a'parubola
33.
7) subtend thc
6r=4f
B"
A. "r 5 -3 B. -3 < x
an
4' '-
I
Cl+Dx+Ey+F:0.
bw h!'
4/5 sq. units
(D {6sq.-unir
3,1. eonvert to cytinerical coordinate systenr giueffie re*tungirlar coordinate's (1, . ' A. (1, 45o, * 2)
lJ.
0.
B.
-Jb.
tJ;,*45o, - 2)
VliiTrt is the vaiue A. asec0
-
6,00,
@
2)
.
an integrand invblving
(il *
x2 )?
asin9
D- acos6 '. rcsl)ect tox of the parametric equation: Find the second derivative of l,rvith
r=t3+1,
- ztir4 B. - 3/4r 2 e.
-rz=t2+l
({.1nt ) o. -7:t
An isosceles triangle of ma.ximurn area is irrscribed in an eliipse with major axis l0 ctn at;d minor axis 8 cm. so that the bast: is parallel to tire major axis anc[\he opposite vertcx on a.t end of the rninor axis. Find tltc at'ea of tlrc tr-inngle. t\C. 2'l (A;('261
'tr'z{
38.
(1,
oix in trigonornerric subsfitution with
- l, -2)
atan€l
-
37.
D.
If
D.
20
Ln horv rlany ways car) we sert 7 people at a round table with a certaiu 3 peuplt ttot iri
consecutive ord.er? A. 3960 639
B
_c. 5320
(Dszo
j|).
,'.'l0,
A regular quadrilateral is inscribed in a cirole and a relSular triangle is circ:mscribed about it, th* differeinr:e belween these sides of'the polygons i:; equal to 10 cm. Deter:rnine the area r:f the circle. A. 7451 Et. 5741 ilin
|
f"')
Y
+1"
c. 754t D. 7415 "F
prz)& (zvt) n
c. (z/5)a2
o2
D. (?t3)t,2
The asithmetic mean e[2a and 3tr is
) gvorrdic, mtar'" B. (2a - 3b)/2
,4.
tl
)
cos0) arrcl out:;ide [he arc r = a
C.6:rb/5 (2a ; 3b\/2 y\n existing road AT is just pasiing along tire circumfrrrence of a circular lake at a point'['. .,\ pnoposed bridge is to be constructed over the lake. IiAT = 2.5 km and a diversion road fiom A to the foot of the bridge ,AB - 2. I 5, dctennine the length of the bridge. ($ c. o.ar D. 0.96 B. 0.52 F"indlhe angle berween tlre diagi:nal ol'a cube and its firce.
J6al;
(9
o.ze
4.1.
t8/ 15.26(', B. 54.2()
(, c. 26.6'.7 ()
D-
34
r14" Find the sun of the coefticients in the cxpansion oi' (x.- 3y)'' A. ff,384 c. - 5 1.25.1 D. ?5,216 rz,zoa @'45- A rectangle is inscribe
c.
@.e zt "7
I
D. indetenuirtatt: B. in{'urity At what point on the parabola y = .4 - .r' 2 does the tangent together with tire coorciinate a.xes on the first quadra:rt determine n uiattgle of minimum arca?
A.(a3,) B.' (2R,2t3)
AOl2.5/3)' Qrl izr, all)
{. $,tlen tfuc second derivative of the etluitriou of-I curve is negative, the r:urve at that point is concave in what clirer;tion? C tn the rioht A. to the lell ($. do*nwar
'r
=$ A. 5 rrnits
50.
C. 3 units f) 6 urirs
@)+ units Find the centroid of tire at'ea bouttded by the curves -v x2,y=4x-x2 cr. (1, I ) lR. rt.zt
\t
i.-'2.'zi
D.
(ls.-2)
)<**IiN[*:,t'>r
$lepublic of the philippines Professional Regulation Commission Mani[a REGISTEREDELECTRICALENT3TNEERTNG
BoardExamination
Sahrrday, August 21, ZA1O.
1:00 p.m.- 5:00 p.m.
ry*,e!%
e;rl/Gr/VE Erf
ril
rF{sTRU(iloN:
C-
t
"*, "g, il; ;;r.fiG;;
r,
sl]-t'* A
seloci the coract anslver forgacfr of tho fo[owing questions. Ma'k onrv oDo
;;;;;il#s,;,,-#ffi
slErer for each itarn by shadins ul9 br; on rhe an-swor sheer provid"dT. aTRtA.[i"ij6'LnusuRES 2 onty. p/oaso da
U LnpLE
fl,t
l.
no
tm
a
*
or wri t a ; r
ffi
iilr r;rroice
ALLowED. use
rO;;;; ;;;;r;#;;.
"rtrtrlno.
What prefx refers to 10 to the negativo 15b. power?
A
s[o
c'
i' r" o -/
Pico
D. nano
2" Two forces act on a point objr:ct as foilows: 100 N
rosultant
(4t E) v.
tooNar 1to"
at 170" and 100 N at
500. Fincl their
C. 173.2 N at -1600 D. 173.2 N at20o
aEA twllorlr -..,-otlC
s s' & lhe instarlt the .traffic light turns green, an automobite that ' htersoctbn stsrts alpad wifi ; *ni"nt has been waiting at an accereration of-o-rusec/see. At ths samo instant a truck' traveiins yg: or so ru"* ;;r&L ano pas$s the auromobire. far beycnd its starting ?l*lly."r*rty How point wi, rne auiomouira overtake the truck? tu(J|(( A 250 fi e. lsort R
.
td;i
(d)soo
rr
4' A 10o kg woighl rosts
on. a 30
,,.
5' A body weighing 40 lbs. starts flom rest and slides dowrr a planq at an anglo_ of horizontal for which the coefficient of fliction 0.3, How far it moved affer 3 sec?' 4)-ss.os
B. z'.ss
;"
:"'16' A
n ft
''';';':'.':' 3 ll3l I
30o
with the
2lg
bhrck of wood rests on a long iabletop. A S g bullet moving horizontally with a speed of mlsec ls shot into the bloclc and sticks in it. Ttie block .150 then slidos 270 crn a&rng the table
.
Find tho spoed-of the b,tock Just after impa
:r,r-"!cps" A" 0-347 m/sec GI, 0.37{ m/sec 7
'
\ffhat rnomenturn does a 40-lbm projectile posse.ss if the Projectite is moving at 420 mph?,
A: B.
765rbf_sec 52O lbf-selc
s
li:il:iff:::, ? -_er \yC
' I 8' A c€r is mcving around a level curve
or radius 200 m. Fincl the velocity to provenl lhe car from skidding- Tlre coefficient of static friction betrveen the tires and the road is 0.6. A. 62-16 rrr/ssc 34'31 m/soc B. 43.31 D
mlsec
c'
Zi
-26 m/sec
9" v/hat can the isad be orr ther colurnn, ii *re crcss-sectic.rnar area 'estress cannot excee(J Z0O btn.? cornpressive A. 28.8 kps C. 22 kips B. 20 kips D. 32.2 kjps
is 144 srt- ft. ancl
the
.*i'to'
A steelwiro 10.m long hanging Vertically supports'a tensile load.of 2,ooo N. Neglecilng the wolght oI the u'fre, determino tho roquirod dianreter if ths stress in not to exceed 140 Mpa anci tho totblekrngauon is nol to exceed s mm. Assume ti ,, 200 Gpa. ,4" 5.24 mm C. 4.04 nrm B" 4.26 mnr D, 5.05 mm
11. A hollow sterel chimnoy 20 m high subjected to lncrousa iln [ongth of 3.5 mm dus ter passage of hot e.rhsust gas. What Is'the temperaturc cheng* on the steel .chimney? Assume q = 11 x10-o por"C
A
c.
160C
g. " 260C
120C
o" 2?'c
l?. A-stgel cylinclrirxl tank weighs 35 kg vdth sp.gr of 7.87 contains a 4.Liter of liquid urith alernsity o{ 997 kdm.,What is the total mass ol the tank?
il[3 ,-.\ fr
\*,\i
L9 A
blc,ck
; l:[3
Dr'&r,of
of aluminum weighs
\4
0.2.4525 N in air. What udll be the tension in a string thai" srj$pencs the b'lock when the block is totally submergecl int wale(l The density of aluminum is 2700 kg/m3.
A. B.
0.1s44 0.1455
N
|.1
c. D.
0.44s{i 0 s361
N N
VO =
Sb - 9-!:!J:-:'
{b \T#-i(
14. At a height of 10,000 m above sezr level,-atmospheric prerisure is about 210 mm of lig. What is tho resultartt normal force on a 600 cm2 winbow of an airl:lane flying at this height wlren the hydrostatic condition ancl a pressure insicJe the plane of 76ir mm oi H! and densit-y of nrercury
is 13,6C0 kg/rn&?
A. s.7kN U. 3.4 KN
c.4.4kN D. 2.6 kN
T=O.z4.S/j_
15. The Froucie number is a ratio
AB. C. .JP)
of two irrational prime number,,; proportional to the coefficient of heat transfer dividerC by ihe thermal conduCJvity proportionalto the'specifii heat a constant prossuro di,ridod by the thermalconductivity proportirrnal to the velociiy dividecl by the squsrB root
16'When a thin-bore, hollow glass tube is inserted into a cont;ai;rer of mercury. the surface of th* mercury in the tube A. is levelwith the surface of the mercury in the container € is below ther container surface due to cohesion C. is below thel cpntainer surface due to adhesion D" -. is above tho container surfaco due to cohesion
17.A siram engino operales between 15C'C and 550"C. Wlrat is ils 'theoretical maximum thsrmal officiency?
A. 27% ,g) 49%
c.
73o+_
D.
95%
.; 1B.A 48-ft2wall has an average the,rmal conduaivity o{ 1.2 BTU--fUfi2-F-hr. lf the temperiitui'e difference between the iwo sides is 18oF and the thickness is 0.7 ri, what is the total heat loss in 5 hours?
A. B.
1480 BTIJ 51BO
BTIJ
C. 73OO BTU D. i4OO BTU
). ?:,) r-- 6 ,t)
z t
\l/hat is ths coefficient of perforrnance of -'J0 "F Bnd -190"F?
19.
A. 8. ,..87
t:.iji l
a Carnot refril;oration cycle
*{].5
c. 1.06
0.5
@r.so.
operating betvieen
'
in 1993' a cortain.country consurnption energy (in MegaBru) from various oources wB$ ts follows: coal, 18.1; oii, 32.1; natuial gas,20.2; hydro,2.9; and nuclear,2.g:.Calculate in Megawatthours th'e totil elec*ric energy that coukJ be produced from these so*(Es, assuming 8n BverElge power-prant r:onversion effidoncy otir.zs. rA- ,\5.44 ..,.
\..',,". 20'
b/+.ss
I l. Ortnvert
A. 2dc
ri.
SO"F
to
,^ I:
i#
oC.
c. 1rc
12tC
D.
10PC
22..ehemical symbol of Sodiunr Oxide. vruvs'
;\. Nao
?cay,tc(g;r;E4 e il:fl Y:ffi[frry5or.
ri: i'i;i.sqj,*n,,
?3. Whieh of the followilrg is the formula: for acetic acid?
A.
ts.
COOH cH2cooH
'-
*:;; rJ' znc
ffi
^-'^.. c' cHrcH:llooH @ cHrco,)H -+ tsuka, (yiqg*- ) ' H
is rodur-d
il' onry
rffi.l'rl:
f ,. :,"" ffi D-
d hyd.s
:
c.Un,
acid
r,.:.yr#i
"n Zncis ier,ucod and hvdrogen is oxidized
25' what is the mass in grants of 1 liter,s of carbon monoxide (co) at staiidard temperaiuro and pressuro? The MW of CO is 2g g/nrole. At STp. .:iun a*a3+_ ..-.. -_ _iJ.d : , .l; :::!-;_ mole .;. of o-., Oi =,,j ^oc i.,i. rupigs a- Voaliml, litgnS?
@ 8.
2ti'
1.2s g.
C. D.
1.35 g
1.45 g 1.20 g
A droplet of mercury has a radius of 0.5 mm. How many mercuu atoms are in the croplet? For Hg: MW = 20? I$tsmotand sp.gr. = 13.6
017 x1010
A.
2'l .23 xl $1, 23.21
G.
21 .23 xt 0ro D. 23.21 xj0r
i27. Given: r = distanoe between the particle in Angstrom, V(r) = LennarC-Jonnes potential, 6, delta = finite distance at which inter''particle is zlro,' e, signra -' --r" = depth of potential well. what is tho potentiat in tarrns of sigma?
A.
0.163
r
cr-A-{.0163
c.
E
0.0163
r
D. _c.163
L
?B' ln a tilraticn proce$s, suppos6 that a 20 mL of 0.1 N HCI neutralized 16 mL of unknown sodium hydro*do
A. 0.2s B.
0.17s
(NacFr). what is the ,ormarity of tho basa?.
-
C. 0.15
W.tis
29- L is a nonvolatile, non-electrolytic liquicJ. A solid, S, is addod to L to form a soluf ion that just bgilt atm pressure. The vapor iressuro of puro L ls 85rl lt.1 torr. what is the mote fraction of liquid L in tha soiution?
(&
B.
es.+"6
64.3%
c.
Ts.4%
D. Bs:7%
,, r
r, :,J
\l/hat is ths coefficient of perforrnance of -'J0 "F Bnd -190"F?
19.
A. 8. ,..87
t:.iji l
a Carnot refril;oration cycle
*{].5
c. 1.06
0.5
@r.so.
operating betvieen
'
in 1993' a cortain.country consurnption energy (in MegaBru) from various oources wB$ ts follows: coal, 18.1; oii, 32.1; natuial gas,20.2; hydro,2.9; and nuclear,2.g:.Calculate in Megawatthours th'e totil elec*ric energy that coukJ be produced from these so*(Es, assuming 8n BverElge power-prant r:onversion effidoncy otir.zs. rA- ,\5.44 ..,.
\..',,". 20'
b/+.ss
I l. Ortnvert
A. 2dc
ri.
SO"F
to
,^ I:
i#
oC.
c. 1rc
12tC
D.
10PC
22..ehemical symbol of Sodiunr Oxide. vruvs'
;\. Nao
?cay,tc(g;r;E4 e il:fl Y:ffi[frry5or.
ri: i'i;i.sqj,*n,,
?3. Whieh of the followilrg is the formula: for acetic acid?
A.
ts.
COOH cH2cooH
'-
*:;; rJ' znc
ffi
^-'^.. c' cHrcH:llooH @ cHrco,)H -+ tsuka, (yiqg*- ) ' H
is rodur-d
il' onry
rffi.l'rl:
f ,. :,"" ffi D-
d hyd.s
:
c.Un,
acid
r,.:.yr#i
"n Zncis ier,ucod and hvdrogen is oxidized
25' what is the mass in grants of 1 liter,s of carbon monoxide (co) at staiidard temperaiuro and pressuro? The MW of CO is 2g g/nrole. At STp. .:iun a*a3+_ ..-.. -_ _iJ.d : , .l; :::!-;_ mole .;. of o-., Oi =,,j ^oc i.,i. rupigs a- Voaliml, litgnS?
@ 8.
2ti'
1.2s g.
C. D.
1.35 g
1.45 g 1.20 g
A droplet of mercury has a radius of 0.5 mm. How many mercuu atoms are in the croplet? For Hg: MW = 20? I$tsmotand sp.gr. = 13.6
017 x1010
A.
2'l .23 xl $1, 23.21
G.
21 .23 xt 0ro D. 23.21 xj0r
i27. Given: r = distanoe between the particle in Angstrom, V(r) = LennarC-Jonnes potential, 6, delta = finite distance at which inter''particle is zlro,' e, signra -' --r" = depth of potential well. what is tho potentiat in tarrns of sigma?
A.
0.163
r
cr-A-{.0163
c.
E
0.0163
r
D. _c.163
L
?B' ln a tilraticn proce$s, suppos6 that a 20 mL of 0.1 N HCI neutralized 16 mL of unknown sodium hydro*do
A. 0.2s B.
0.17s
(NacFr). what is the ,ormarity of tho basa?.
-
C. 0.15
W.tis
29- L is a nonvolatile, non-electrolytic liquicJ. A solid, S, is addod to L to form a soluf ion that just bgilt atm pressure. The vapor iressuro of puro L ls 85rl lt.1 torr. what is the mote fraction of liquid L in tha soiution?
(&
B.
es.+"6
64.3%
c.
Ts.4%
D. Bs:7%
,, r
r, :,J
ll0, The mass (in alomic nrass units, ilmu) of a photon at 0.8 tjmes the speeil of light is most q
[5"X' E!.
'
D Vrwl-u1 /
C. 0.8 anru D. A.2 amu
1.7 amu,
he radius of a hypotfretical ole,:tron orbit is known to be 0.75"4. What ls tho Broglio if four completo cyclos constituto a stablo patlom around the nueiCIus?
ll1.
tr
Wavolsngth of tho oloctron
,o
' A. 2.38 A
Q i
\r.,
*o nross
\
r
r"rs
gn
o
0.118 A
i.
t
o
4.71 A
D.
Q ,'1)
ono of tho main differences between cast
iron and steet is that fu $teel has a hlgher silicon contorrt -i{}} {itool hss a hwer carlbon contont _-// e. $!e€l cannot be annealed whereas cast iron can
.t3, $tael conteins a large amount of uncombined carbon
;')3. Viekers,
Knoop and Brinellare ell narnes of: i'Jcbel prue.,tinners in n:etallurgy Magnetic.consianl
A" B.
" ;T,lltffi;,;r ?^-Z
C. The:'mcdynelnlcs cc'nstaql
\e
Hardness
lesls
t/
steelrnav bo increased by heatins to appro;
y"csrbon content if from 0'2% io 2.O% c. Ths carbon aY contont is below 0.2% B' Tho carbon c$ntont is abovo 3'0'/o D The steel has tioen hot rollod lnstead of casr
35' Whicrl or*r,e r1*gwing{actors wi, affoct the hardenabirity cf s*oor? t. ,,,
A
'
rnnh,
ii,
Composition
B. lv only 36,
i:ll:'^1:.:i.'
il,;ffi;
il}.
'
.
Hoq many dosest neighbors rJoes B(lC (body
tr.
6
Q t and 11
D- ll and lll
FQlerftd (9) o
D.
37, What is the eqJivalent of (11.01) base 2 ro base
A,
so
3"25
13. 3
b*trJ[if":q{ftab {+!--
rrpncress
brdrya4,itlf !r trl '--,:.r. L/,r./i
10
10?
\ @)'
t lLLf + o(:i+" ,,)-'
ir)S 38. What is the equiv;alent of (75.t) base 8 lo base 10?
..
c.6.t.785 , ft. ot.ats
;19' ls a type'of Inefi'lorY chip that rrltains its clata when its words' it is non-volatilo' lt is an 'anay of floatinggate Fower supply is switcheo-of, in other jgo.;istors individually programrnod by an erocrronic devi,ce that suppries higher
,a,: capacitive
( e' sReu 40.
storage
vortag;j;;#;; r,rrvrlrr-rrry ,"*rr,rv ust'(, ,;"r,,io,lo",circuits. tn st9 \zC. gpnoM )'{' DMi'i
\tVhat is tho rnost common type of digrtal lC (integrated circ,.rit.r package?
)4\.
B.
e. tl.
,,r),
crrbie) atom hava?
f jSii
A. 62.78s B. 62.875
L,,
Dualin-tine packagei (Dtp) Compiementary rneial oxidr: semiconduCor (CMr)S) Metaltypa Transistor-{ransistor logic (1TL)
4l'
lVhat-refers to'the value of an intartgible itom whiclr.arise$ from ths oxclusvo riglrt of r: eor'Rpany to provide a spocified prodr.rct and servico in a certain rogion of the country? A; par value a. Goochyill valuo , B" Going vhlue Franctrise vslue
@
..,.")' 'i?. VVlrat is the factor namo of tho formula (1 + ,)1? (iV Slngte payment B. singlo paynient
4i].
compound amount presont worth
lactor
factor
On his 6h. birthday a boy is left an inheritanco. The.inheritanrx will bo paid in a tump 6urr of i)1O,OCICI on his 21't. birthday. What is the present worlh of lhrl inheritanco es of t\e bo/s tih. l)irl.hriay, il intEr,Est is compounded annually al4%?
'
c. P5,552.64
A. P4,442.64 r], t5,652.4
ii) 44.
C. Unifonn gnrdient future wortlr factor D.'capital reo)very factor
D.
P,4,542.46
-
$uppose I rnan receives an initia! annual salary of F'}60,000 incroasing at the nato of })5,000 I year. lf money is worth at 10%. Deterrnine his oquivalent uniform srlary for a period of 8.yrs. .{.Dp75,022.39 c. P70,0s5.35 3. P72,A4s9 D. P72,22A35
'15. A machino has an initial cost of P50,000 and.a scrap value of P10,000 after 10 yerars. Find tha boohvalue after 5 years usinE straight ling depreciation.
.
A. P32,000 B. P28,000
4ii.
?"tYes I corporatiorr r\.
tB
D-
u;r,
c.
P25,0A0.
D. P30,000v
,,./
or iirm be regstered or licensod to practice electrical engineering? ,
dsponding on the naturs of business of corporation or firm
Y.cs, upon aorrroval of govemmeni: regulating body
47.Th; official seal of a proiessional Electrical Engineer (PEE) as provided'in sgction a (q) of
A. 52 rnm 8. 45 mm
,4a. -\.
-/
C. 50 mm
is delined as properly krcalizing
@+e mm a fault r:ondition to
restrict outages
equipment effeiteti, accomplished by choice of selectiva fairtt protec*ive . C.. choi,r selsction B. fautt D. monitoring
$eoordination device
to
the
aevi-s.
Q!-) +g. The connocted electrical load of an o,ffica building.is 3OO kVA,. The main circuit breaker to be installed is 1,$00 Amp,2 poles,250 Volts. The'Menilco distribution transformer is rated
.
20,000/230 Volts, lt is to sotve this loa,C with u rated oonrroCocl load of 5OO kVA, single-phaser, Votts. What interrupting rating shotrld be required for the nrain circuit breaker?
- q0 Hz, 3% impedancs,'230 A. s0 kAtc El. 100 kAtc
c.
150 kAlc
D. 75l-3JC
50. A pad of specjficrtion which describe:s the tochnical details types of construcilon.
A. B.
specific ciause shop dra*ing
C. generaldause D- ord,er to work
Please subnrit tlris test question set togetlier wilh ihe ansyer sheet lo your watchers.
', '
Republic of the Ptritippines Professional ReEulatiott Commission Manila
ItF-G{$TERED ELECTRICAL $unday August'.22, 2A10
ELI=CTRICAL ENGI
ENCilt\IEER
.Board Examination
8.00 a.m.
N T=E:RI
-
12:00 n.n.
SET-B
NG
INSTRUCTIOtI : Select the correc;t .rnswer for each of tire following questions. Mark onlv one .m&WSt for each itent by shading the box conespondinrg to the lettor of your choice on the iln$wer sheet prr:vided. STRICTL'/ t{O ERASURES ALI_OWED
MULNPI'E CHOICE
1. A series RLC circuit has 1 onrn resistance, 0.5 H inductance and 0.5 F caparcitance. \Mat is the resulting transiernt current? A. Undamped case
- no tg-tsdarrC(
B. Overdamped case
2.
r'
Two single phaser transforrners are connectecl open delta banll is supplying a balancecJ three phase load of 64.95 h(VA . What rs tho Kva load of each transfoimeri
4.37.5 t' 8.25
"
C. C;-itically damped case D. Underdamped caso
c.
32.5
D.30
stato, capacitor looks like aian circuir anci an inductcr looks like cin;uit. L Grounded li. Shod lll, Open C. iliand li A. land ll D. lll and tll B, ll and ll ,,
3. At a dc steady
alan_
4.
Calculate the efficiency of ;r 230 Volt shunt motor from the following data : lnput current ls 33 Amp, balanca reading is 12lbs.. brake arm is 3 ft long & Speed is 1200 rprn. C- 860/o A 83% o.85% @ at-v"
5.
Suppose that you wish to firbricate a uniform'rvire out of 1.0 grarn of copper. resistance of wire is to be 0.5 ohm and if all of the copper af€ to bo used, whttt will be the diameter of v/ire? Resistivity is 1.7x10{ ohm-nneter and mass density is 8.g2K1o3kg/m3 C, 290 s-on A.2701m
r
-l-he
8.280
pon
4.20A ;ttn
6. A 25 krn three phase
transrnission line is compos;ed of conductors 500 rnils in diameter are arrange in triangular formation 6rn apart. Calculate the capacitance per prhase in I-"^-ilt(,
t^-^) rJ-ldl du.
A. 0.3C9{t B.
7.
0.6067
c.0.202'.7 t), 0.9154
A short tirree phase transnrission lirre delivers 10k\A at ,eceiving end line voltage of 240 volts nns The impedance of the line is 0.1+j0.2 ohms. What is the receiving; power factor so that the voltage reguiation is zero? c. 0 86r, A. 0.866 Lr. U.B7{i B: 0.874
8' A genenator 15 Mva, t lkvwith
107o readsnce ln parBllelwith 10
MVA llkvwith t*11rg*."iri'#ili'irrc6 kvwith 6yo roarxance. u .', iffi I olllil,i c,np n t ror a thres ir,,," ---'--'-'r'
't0% roadrince are connectod to a
1Ytl:,m-ffiJ#:i:n:i: A 14.44
sos,
#
^ B:3ll" ^ ^-
',$#ffi A
,
F,i"rs*it1#,"Trr#rrl'"mti{jn,*,ffi*,*.
i.SZ p.u. 8. 3.33
p.u.
9' 4.29 9'91P.rD. p.u.
trznsrormer, Determino the cr '- gfii:l?-,ffiff:ff.:1""t*f^^lyl ::1li.lv:t"p-up',ff ,""tio"",ti,;#'#;"#ffi ff .:,il.3,",;ifif i,;X,il_, delta) [,"t[i"Jj3ffiij;3,fr does not exceed S A.
A
1200:5
C.500:5 D.400:5
{.}oors
""J,[:ir:ffJ'ilj:'j:,:H;"1[T;
are suppried rrom 20r] v rrns, 60 Hz rhree phase
!*q A 24 kW at 0.8 lagging
;o*er Load B: 10 Kruat unityi.*"r%.tl, Load C: 34 kVA at.o.o'6weiraciolieaoing. the totai rine
ffiS" ,8..,1964
factor
lurre'ii'""' '"o''ll''r^
'.
c. bg..{ D. 113A
12. Basically
(r)
lightning arrester is a
Surge diveder B, Surge reflectsr
-
.
C. Surgo altornator D..Surge absorber
I
t3.A lighting llxture is 75 crn above illuminatiorr at the o6ject.:,
an objdct. By how rnuch be
d.53.03 cm
Slzt.sz
C. 37.S cnr D. 45.27 crn
cm
14'A three phase induition motor is'rated 2300 thettue of thie capacitof in ivnn ;t".h rjnpjyq the powdr facror to giy, hgsins?
"
141.9 ts..243.6
A
lowired to doubte the
v,
11
14 and 0.75 power factor. wfut is par:ailet wirh the circuit to
4;tL'fi#n --'-"."'b E.
1s1"7 126.s
"'l5"A single spafl of transmission line is
1.58m in [ongth, tho supporting stn"rctures being level- The condustors have orir'"g"gon or r.'i'sE'cil-'nd weighs 0,8 kg p€rmeter. Find the sag wlrictt must be allo*ua, if the tensio;t;;i to exceod one-fifth of the ylti1n1r.r strength 4000 kg pui
A
E.
Z.olm s'
1.20m
"q
.,
^^ D. S.oi*
^ ^.r.Uzfn t/.
Ta
F
,>
16' lt is desired to impro.ve the power factor of a roarJ 99.76 rcva, B*Topower factor the capaciroirrv* to improve nu p*r*, factor to unity _?::"rmine C. at.ZkVai B. 96.1
frffS
" m; A
kVar
D. 57.1 kVar
is the type of communicatiorr that only'one of the turo party can transmit at a
Futlduplex B: Half duplex
C. Bicomm D. Simplex
'.
for electricatcircuit
18.A switctrgear is a devios used : l" lltqrrup$ng an B, *sM-tcfi ing an electrical circuit !, $wltcting and controiling an eteciricat Circuit . 'p) switching, controfling ar;d;io];;;;g an ekrctricarcircuit and.oquipment. '!9"A Shunt motor is takinrl 11 k\V at220 volts at full load has annature resistance otrm and field rrrsistance of 1I0 of 0.2 ohm. At no toad ar 1000 rpm. Find the fullload speecl. 1rX3 rpm Clsss rpm B. 1022 rpm ' D. 976 rpm
f:-
:
#;il;;';;;,
A
20'A llhreefhaforgl*n, 60 Frz, 34s kv tlanspoi,ed transmission rine is
[,] i,ffifff;,rxnffi:"xhllffi::il
rt, especxivi, Per Phase
e:r.sa
Sil:l
21. Bttcfrho
ths
tt*.,ri.Jn
relaycannot be used
!(/
L'ansfcmer
on
transformer
i*H*i t"l^::$*
rine?
3
lz
A" lnre€ phase B. ,500
o?
t oir
r
l:ii
aV)t c-)ec air a^^,.-) t_transformer, $ r_r: i UUUiTV transformer
erws-d
Ilglod
poY"{ center is to be served high siOe (primarv) grcrlit 1t.-2.q0 kv, tne power center will incJude a a.so MMAI zebiis kV transformer w*h 5 im,edanco, and a main circuit % y pe capacity what ls mu i"ilttuiing outv .a,vace'fiint has the marn secondary circurt
22' Tho i!-phase
.
i;;"k"; il;tr"
;;i.il;;it
SlJtS*^
"t-s "vJ*-or
A\}S.S kR gio.s kA
c. D.
'i3X'eu*otor
7:5 kA
{.tt kA
armaturo with 1000 turns rotates at 60 revorution per seconrJ across a oair gf pglg wilh a flux donsfiy of c.2 Testa. The pote " raoe nai an
fi";f o.i;;.?fii
A
3.s7
kv
.
S.2.4 kv
c. 7.95 kV D. 9.3 kV
24. What type of.conduit bend is used in modorn lighting frXure?
A Comerbenci @orset oeno
25.A transmission tine at ri,y_er crossing is supported ftrom two towers at height 40m and 90m above water levet- ]-he rrorizoiGr oiit"""rGt'"u;;-th" towers is 3ocrrn. If tho ma:
l
-l
I
I i
C. Saddle tsond D. Gooseneck
@ uulrl
26'4 dalta conne<*ed load has a per phase in:podance of 10 +j 10 otrms. lt is supplied by a wye conneded balance source through a s-pnase tin"
'
un 1.0 ohm resistance and by G:iz-o/*[
1.0 ohms induc*ive reac*ance. The vctta-ge.uql"n*;'!ir"n Vb=1Z!LIEC Vc=120te[. t&trat is the line.n L,renti A. -13.86+j13.86 A 5'07-i18"s3 A
o
8.
13.86-i13.86A
c'
D. -18.93+js.07 A
27.Which poler plary can have a r;ingte unit up to 100MW? ,q". Hydro electric power C. Steam power plant (p) Diesel power D. Nuclear power plani
plantF,lant
.
. ?8-
TrT sknllar cfrargos of 250 statC are sttuated on srnall spheros
{*.e"l"ntiElat point midwa'r betwoen the spheresi, .A 16.7 statV C.'OO.Z stzrtV 8. 25 statV D. 33.i otatV
?t \{fut B.
is fullload officiency of
power,rrr*rry;' (
90%
D.
1
5 cm
apart tMlat is
9V 0O 7>
u%
30.|f a tropical storm is going tc, the F'hilippine area o{ resporrsibility within 24 hburs, . kind of alert to be rqised in arccordance to phitippino Distribution code? A Bluo C. Woathe,r Disturbe,nco atert B.Yellcnralert ( ttcs than Apacdg D. Redatert ( _cD1tihrr:nE
what
Alert /
*)
Sl.Threeresistors arc connectrd in series acress 240 volts'dc source draw 4 amperes, lf Vnt=60 volts, R -,1.5 Rt. Wirat is fu?
416
c.
27
a. 24
B.'18
3?.An ideat transformer has a volhge rating of 2300/290 volts, a motor is connscted to ttie secondary draws 30 A at 200 volts, what resistance must be connected to maintain this voltage? A" 0.67 ohm C. 0.75 ohm B" 1.O ohm D. 10 ohms 33-WtEt is the povrer factor of poten.Jal transformer?
A.0.s7
L'
c.0.98
8.0.95
34"'tho tungsten filament lanip has its^filament wlie bf bngtfr'S.as cm[nd'6-.oi mm in diamstor. The resistivity is 5.55x10s ohm-meter at 20oC...What is tho resistance at 20oc. .1:t'.') ' A !5 C. 20 8.27.5 D. 60 ohms
ohms i:'"
ohms ohrns
.
35. What ls the'lnsulation tast ,vrcltage userd?
volts B. 600 volts
A1000
volts ':.,:,: rl'
{e600
V. ZS0 volts
.
b the name of Ratio in a transformer Polariiation Ratio C. Neutralization'Ratio B. Myers lndex $Transftrmertum ratio
36. Wtiat
A
37.Wtere a grouM fauft eircui,t intemrpter l. Garage ll. Bathroom !ll. Outside M. Dining Room V. Guest Room
D
B.
i;ll,lil l.lv,v
(Gfe[
ii'
sho,utd lro installed?
c.t,ll,v D. l,lll,lv
38.VVhat is the type of relay that detecl excessive cunent?
A
Differential
Relay Relay
B. Reverse cunent
Overolnent Relay D. Overvrtltage Relay
@
Hermetic motor-compressor has B0 A full load qrrrent. Wl:at is the rating of llisconnecting nreans? A.) 92A C. BOA B. 100'4 D.200A
3-CI.A
')
4rJ,
Slectric Discharge'larnp of 150A and a 250A inrzndescent lat'np ii-supplied rom a singlo phaset wire system. Vt/hat is the neukalcumant? c. 38sA ru g, D. 425A
iooA
aooe
i
41,Three induct
G*mx.
's,l:2,Wtat is ihe main purpose of f:use? A. Protect tlre line B. Protect the load .i3" fiind the Connaction of capacitors
,
micro-farad. Ct & C2 in parallet, series w/ A 'd rut in
'
p'arallel
C. Protect appliances
fDr limit'the exc€ssive cunent r,'
\-/
1 pF,3 pF &47.r F neoded to havs atotalof 2
C3
O. C1 & Ci] in parallel, sories
wlC2
D. allin series
44. Four 3 pCcu! spheres are in corner of a sq';are
lcnt on sides. Find the'force in
Newton?
rnits.sxro'to :a e.1*10'to ,4S.
.
D- 20.25x1c'10
Equal aniount of electrons are placed in two spheres 3 cm apart in air. lf the resultant ' foice is 4 KN, How many ele.ctrons does gqch spherres contain? ' R. G)'2sx1tlla
i
g.
46"
c.4.05x1(l'ro.-
i.azxto". r.sgxlot{
b-
t.ex'io'lt
:" -
N is required to move a 4A pC charge in an.eJectric field two points 20 cm apart. What is the potentiZrl differenie between two
lf a forc6 of 4.8x10'2 beh6reen
tle
points?. 'r C. 120Volts A 240 Votts volis 160 B, 47.Vvfrit witl happen to the time c.pnsta." * e6:ilfril;e is increased?'. A docrease .. "': "'--.' D. El. increaie
I
conskrnt
48. tn a balance thre'e phase voltitge,
{tps.z-1tos H-ss.z+llos
D. -190.53+j0
49. Ev:rluate the value of aj+t
"
A
-0.866-j0.5 B. 1.866-j0.5
50. Evatuate the value
A -1.366-i1.366 B. .1.366'+j1 .366
Van=11orcq h/hat is \rbc using ABC sequence? c" 95.3+j165
oi
C. 1+i0 D.0.J34..j0.5
ai+a2
c.
1.366-j1.366
D.. 1.366+i1.366
GOAD LLJCK!!!
Republic of the Philippines Professional Regulatiorr Commission Mani[a
lli€rtut,,
Jiilc;. ..!r:,,rqJ
*- 'iir'; lar ")'
I
: .
;:I:.'
REGISTERT:OELEGTRICALEI'IGINEERI''IG SaturdaY, MaY 01, 2010. A t N E E FII/V(} S C t E N e E S A N
E: N
'Board
l*aminalion
1:00 p.m,- 5:00 p'm'
SET. A
D A L Ll E D SUEI*IEC7-S
: Select lhe coneci snswar for each of tlre following quostions. Mart Cnlyj,n3to [r9^le{91 9l vuur a,1sur6r for each item by shading the bo:x conespondino choico on the answer sheet provided. sTI{IGTLY. NO ERASUEES ALLOWED. Use pencil no.2 only. P/oase do nct mark wwrite anything /n lhis guostionnairc. dfrULT,PTECHArcE
INSIBIIEIION
along the A box is pushed along tho lloor with a force of 40lbs with an angle of 30 degroee of the components and vertical trortzontal. Using a sc;le of 1 in =- 10 lbs. Find the horizontal
t.
forco by graplrlcal method. Fx .: 34,6|bc. & Fy = 20lbs B. . Fx * 34.6 lbs. & Fy = 37'6 lbs
A 2.
A with a bngth of
1O units makss an angle of 30 degroes
Find tho value of tho differenrz a
C. Fx = 36 tbs. & Fy = 3616" D. Fx = 32.6|bs. & Fy = 34.8 lbs
A-8
I
wlth the longth of 6 units-
by parallelogranr mslhod'
,.'6L-
! tr[p
^
with
B. 4.34 uniis
C. 6.25 tntts D. 5,66 units +50 m
ve,locity of 550 mlsoc is fired frorq a gut- on a.top-of I {itr pojactitl nits tne water surface 5O eec after being firetl- Dotermine tfrs
3. A pr,oiectile with mrste
sea level. f "Uoo6 tho horizontal rango of the proiectile. A. 24.E58 km B. 28..433 km
C. 23-933 km D. 25.533 km
lhe speed limit of a hi-way curve is !_0 *ptr" lf the cune has a radius of betwEen tirss and S?S fi, at ufiat lpeed ,nttt *kiOaing impend if the coefficlent of friction
4. Ofi a normatday,
rosdway k 020?. 62.55 mPh &4.93 mph
r{" B.
C. 71.15 n 9.
mPh
Co 7E aah !r9. a v ,.rPr
!
l/Vhat is the stresg id an 8-inch round x 16-inch high concreto cylinder ufien the unit rleformation is 0.0012 inch?
5.
A. B.
30OO lbfiot$61) 4OO0 tbfnnlGsi)
(E= 2'5
x10e lbf/in?)
'C. 5@0lbf/tnlPsi) D. 8100lbf/lnr(Psi)
h the minlrnr.rm diarneter of a solid steol shaft that will not twistlhroug! lore than 3 6. "' wlld i" ronr*ter hlgth utren subiotxed to a torque of 14 kN-rn? Use G = 83 GPa. id.-z.tgt
mm E. 327 cm
n
I
"t
C. 0.118 m O. 7.912 in
and 10 q high. lf the tank ts to bs completely of tank pliting if the stress ls limited to44 MPa' ths thickness minlmum i,if,i6. Oet*rmhre the
7.' A cylindricat rrrater tank is 5 m ln diamoter
A
B"
g.
2J5
mm
3.25 mm
C. 5.5I mm D. 4.57 mm
the tape A certain steeltape is kngwn to bo 100.0O0 ft long at a tomperature of 75oF.-Whon ft? 80'000 of to a distarrco reading-co-netP-t-lf tapo what 20"F, is'ai s tempxrature of
Assumo a cooffrcient of thermal oxpansion equal to 65 xl0-'f'F' c- 79.971 ft
A. 7s.e5S ft B. 80.032 ft
g.
D. 80.029 ft
to a ho[row shaft A flanged bolt couplir:g ir; used to ccnnecl a sotid shafi 80 mm in diamoter thearing stress allowable lf inside diamater. the in mm 90 lCB m-nr in outside diameter end muet be used botts stosl gO diarneter many.JG*Tl how trttttn". ttr" Uoii"-il in ths shafi shaft? weaker as the ""0aiameiei Uolt circle so that the coupling witl be as. slrong on a 20$mm
A.
B.
10
botts
7 bolts
C. I botts D. 8 bolts
t0"A' flanged bott coupling consists of eight stoel 2Gmm diarneter bolts spreec ovonly around a &olt circls 300 'i'nn'r in diameter. Dotermine tre toirluo Lpacity of the coupling if lre ----sfiowable strcaring stress in lhr: lrclts is 40 MN/mrA. 5.75 MN-mm C. 15.08 kN*n B. 57 N.+m D^ 85 GN-inch
-
'iI'At a height of 10,000 m above sea level atmosphoric pr6ssure is about 210 mrn of Hg. \fr/hat I$ ths msultar( nornal fonn on a odo crn'winJorriirn airplane flylng at this hoight utren the hydrostatic conditiorn and a pressuro inside tho plane of 760 mm of l-lg and gensltl of mercury is 13.600 kgr,tn!?
l. 5.7 kN B 3.4
KN
3 i:[ fil :
x3' A horizontal pipe hars.a diametor of 2 mm water flows at 2 m/soc and at the constriclion of 'the { rn/sec.
A.1mm
\{trat is the diameter
of
constriclion?
C. D.
B- 0.5 mm
1.S mm 1.41 rnm
A jet of water issuers frorn 90 rnm diarneter nozzle with a velocity of 1B rnlsec. Find the horse power of the j,et. A, 25 hp C. 20 hp 8_ 30 hp D. 40 hp
'13.
14'At what critlcat spood which the flow of water in a long cylindrical pipe of diametor .1.5 crn becomos turbulont t:onsidorirtg thal ttre tomporature rc zd"c. vlscoolry lc 1.0 x10- pa-sec. and cdtical Reynoldr; number G ZOOO. A. 0.155 m/sec C..0.133 m/eoc B. 0.233 m/sec D. 0.255 tVsec '15'
Bemoulli! law for fluid flow is b:rsed on which
of the foflowing principles? A. Consorvation of mass Conssrvation of onergy B. Consorvation qf angular momentum C, O. Continu-ity oquation
'!6'A tank contains 3
{Y:j::t
inflated to 28 psig at gO.F?
4,5.0
complete tires
B. 6.5 cornflete tires
of f 20 psig air at B0'F. Horv many tires of votume 1.2 ft!
C. 4.0
'tr?'The mass llow ratS of F1e1n-12 through is 10 tbvmin. Enthatpy of Freon entry is 102 BTU/lb and of Fre,:rn exit-is 1lEjl€xchanoer 26 BTU/tb. wli", *otant is altowed to rise .t0"F. The water flow rate in lbs/min is: A. 24 c.
B"
83
112
D, 76
187Th€ maximum thermal-efticiency that can be obtainedr in .ope-ryqry botween lt{trF and Jio"F is
to:
B. 60%
an Neq' reversibie .rt. "' ideal 'svsro's'., ireat engine
- D. 22Vn
'19.A Camot clcle hoat engir,e operating betwaen 1S40''F and 440F has an effrciency of approximately?
A
B.
35% 45%
C. 55o/" D. 29%
20'second lar"r limitation on the ntaximum horsepower orutput from any power unit burning 1'@0'000 6l-Ll/ hr of fuel with high and low temperature .4.. gB
c.
,).,r Q .r,) Lr.
21.1-iti: siate
1140
"*ti".*,
of 1540"F and 40,F is:
D. 3a30 oia
ti
rerrrrodyrrar,-ric srsterrr is aiways,iefi,ieci i:y its: O,, prop€rriies
A. availabiiity B. process
i)
iemp,lrature
ancJ pressure
(100 kPa) if iis volume decreased ??" What is the speed of sound through compressod water hy 0.005% of iis,original
s" rsrS m/sec E.,,1ala
volume?
ny'sec
-^^ 9' t?09 m/sec D. 1?12 m/sec ,
or an observer is moving ?3. Wircn a sburce of sound is moving with respect to an obse'ver is different from the observer by the heard wiil.r respect to the sour@, the pitih of sound you call this change in do Wha[ rest. al pltch heard when the source and observer are both {requency caused by the ,,t - ^L
motion?
n. Stin Eftert a, iatt's efrect
p*4.
C' DoPPle/s effect D' Poltier's effoct
body? Wlrich of the lollowing is the u:sual geometric view facllor for a black C' one A. D. incleterminate B. infiniiy
zero
:
?$.Thepressure.ofnitrogenhasath.:rmonreterisTBcnnatOoC.Whatistheternperatureofabe pressuro is seon to liquid in whicfr the bJb rcf the thermometer is immersed when the 87-7 cm? A. 34"C B. 45"C
C. 4:PC D, sffC
26.l{ow many moles are tltere in one atorrr'l
l
A.
1.66:<10-2t moles
B. 2.02;x10-amoles
C.. ?.5 x10":'moles D. 3.6 x10-a moles
27. Which of the following is the reason why nretats are goocJ conductors of heat?
A. Metiils have reflecting surfaco B, Metals contain free electrr:ns
- C. Met:rls have atoms frequerntly collides one anothe:r D. Atoms in metals ars too f::r fronr another
28. The ratio of the radiation of
A.
refledance
B.
transmittance
arctr.ral
body to ths radiaticn of a blackbody is known as; C. emittance D. conductance
crn from the ?9, A double convex lens has faces of radii 21 anrj 23 cm- When an objecl is 25
l€ns, a'raal image !s formed 40 crn from the lens. What is refractive index of the lons material?
A
B.
!
I
I
!
I
T
!q .1
ii
c.
1.61 1.71
D.
30- Vvhat is Ure description of
A
B.
Hot-work Special purpose
.31. What
il.B1 1.51
'P'' in profix used in tool steels? Cz lVloid
D. trtigh-carbon, high-chromium
b the ASTM tonsion tr:sting designation for standard methods for steel prorjucG?
c. ,A370
A. E345 B. E8
D.
A256
I
32. The term'brass' is vdry cornmonly used to designzrte any alloy primarily: C' copper and zinc A. aluminum and D. copper anci iron and nicket zinc B.
iron
33. ,/ellow brass contains appr,cximately how many percent cf r-inc? C. 4Aa/o A. 15%
B. 200h
D.
30%
34. Divide (15) base 15 by (01 1) base 2 Express the ansv"er irl base 10
A5
8.4
C'
7
D.B
35. What [s the true comptenrent of (2S) base g?
A. 52
t\ c.
8,53 .
t).
?,
54 55
36' what do you call a method of identifying the loqrtion of a given data record by its name? Ar handshaking cr hashing B. .D. debugging
accoso
.
37. A device that sends infomnation to another device is called:
A. B,
Recoivor rransmitter
[i: lliJffi,ion
data
38' lt is I t/pe of annuity where the first payrnent rJoes not begin until som6 later date in t^e qash flow. A. Ordinary annuity C. Deferred annuitv B. Annuity due t). Perpetuity 39'
A faclory oporator brought a diesel generator
s;et for p -10,000.00 and agreed to pay ihe deater unlform sum at th1 end of eacrr years.for g%. lnterost s-v.s annuatty for Flti0'0o. thal the final paymoni*itt iancol t*Lbt "tlor prlnclpal arid-compounded lnterost. what ls tho annualpey.ment? A. P4,600.35
B.
1I
pz:so;:oo
3 Fj,133 33
40' The originatcost of equipment is P150,oo0.lnd
k de6eciated uy io% sinking fund method. what i* the annual depieciation charge if the b,ook rrtu* after 1o yea6 is the same as it !."d_Ell (epreciated it ptl.ooo eu"[ y"", ayitr"lgitiine
i
A. P8790.45 B.
P79g0.54
c,
formura? P78oo.6s
D.
P87t14.36
41' Randy and Ed"uard workeld on ldentlcal machines and some of tho pigces they produce ere dofec*ive, urt oactr-produces 200 piercos. per hour.. tiiese pieces can be repairect at a cost of p1.50 per pieca. on tne aveGrqg,. Edwsrd makes 6% rhe aame. rf ftandy r. pig E"ay p g.ob pu; h"r; and Ed,vard-;'i p "ncper hour, ij.oo dEtermino the average cost- pei ea"n r -' pieie r'-v' for 'v! es*' cost or defecrive ""r^nr rA,,I .? ryeg,s and their*ggit. ' Randy: P0.Xg5 per piece. Edward : p0.145 per pieixr & B. Randy: P1.0S0 por piece, Edward : pO.Z,+S *; ffi; Randy: p0.495_per biece, Edward : pO.SOf p";;il 9. D- Randp p0.S 45 por pkrca, Edward : p0.967lar;;;
ilk";-i;e[.]!.r"jil,TJ#, ririui;-;id;rg;t il
I
--l
{
I
42' sec 4 article lt states that the board shallexercise quasi-judicial, which nrcans? A Control'
s.
Cd"*n.uns
3:
ffiS,::"
43. What is Article Hl, Sec*ion 17 (b, of R.A tgZA? Hs is a.citizen of the phitipiines 8.. He ls at hast twenty-one (Zt; years of age Hs har not treen ftnaffy conrciuo by tho-court of an offrrlse=iry[dng moralturpitude' D. ti; with high rnorar..,arueE
A c'
i;;;;*prtation
ln sec'29 of Arl lll:' Revocation of certificates of registratiolf, euspension from the practico of the profession. The Board shatt trave [" p5"ur, upon""n nofico of hearing revoke 'any certificate of registration of any registr$ 6 ![u*uo trim*rei rro;'ih; practice of his/her profossion for fraucl, deceit. grosJneglig€nre o.1n.r*p.tonco which wilt satisfy the above policy? A. Act of governrnent B- Order of court C. P.R.C. ruting D- Rules and reguration, poricies of orofessionar ethics of this act
4i''
_i 1*'.
'
; '-. ' '--Ji"6!;f:,:1 -
d', ", . .: ?+. & ; ' i;- ')- 1' .' ' .'n-:li; , "3': i'-.-
I
.1 .
35. What ls the true complsment of (25) base B?
A52
.,:
B,
',
c"
54
53
D, 55
38. What do you
utll a mothod of idontifying the location of a glven data record by lts narne? Cr hashing D. debugging
Ar handshaking B. accoss 37"
A device that sends information to another device is called:
A. B,
Receiver transmitter
C. information data O. medium
38.|t is a typo of annuity witere the fii^st payment does not bogin until sorno later date in the cash flow.
A. OnJinary annuity B. A.nnui$ due 39.
*i l I I
C. D.
Deferred annuity Perpetr;,ity
A factory.oper,ator brought a diesel ganerator sot for P 1O.OOO.@ and agreod to pay the dealar unlform eum at ther end of each years for $yrs at 87o lntsrest comp6unded annually for Pl50.00, that tho final paymont will cancel the debt for prlndpat and'lnierest. What ls thl annuatpayment? A. P4,600.25 c. P3,O05.00 D. P5.200.CI0 .8. P2,504.00
40.Trt€ or[lnal cost of equipnrent'is P150,0o0 and is deprcciated by 1O% llnklng fund methocl. What is the annual dopreciatidn charge if the book value after 10 yearu is the sarne as it had been {epreciated at P14.000 eacfi year by straight line formula?
A. B.
P8790.45 F7980.54
c.
P7800.65
Dr. P87t!4.36
ard Edvrard trorkr:d on identical machines ard each producog 2OC piecae per hourS9T9 of the pieces tlrey produce are dofective, but trse pieoes can ba rd,peireO-at a cost of P1.50 par piece. On the 8v€r3g€., Randy nnskes 10% def€€tirr€ plecis and Edward mak6e 6% the Earna. lf Rendy ls paiC P 9.00 per hour snd Edrard.bt P 11.OO per hour. d€t9rnino the average cost per piece for eaclr wrrker considering only UE cost of defeciive
41. Randy
"
pioqss and their wages.'
A. Randy: P0.195'per piece. Edward
: P0.145 per piebei
B. Randy: P1.950 per piece, Edward : P0.2a5 plr piece C. R4ndp P0.495 per piece. Edward : P0.561 por piea: D. Randy P0.3 45 por pioco, Edward : P0,$67 por priece "{2.
.43.
'
Sec.4 article lt states thet the board shall exercioe quasijudicial, wtrictr means?
A Control' B. Rulo-making
C;z lnvosggate
E). Superviso
Whst is p,rtiAe llt, Section 17 (b) of R.A. 7g2A? A l-le is s.cithen of the Philipplnes B.. l-[e Is at bast twenty-one (21) year^s of age C, l-le has not boen finally convicted by the court of an offense invotving rnoral turpitude. D.. l"le is of good reprrtation with high moralvaluers
'44.1n €ioc.29'of Art. lll:.Revocation of certificates, of rogistration and cuapension from the praciice of the profession. The Boaid shal! lraver ttre poweq upon notlce of hearing rovoke any cedificete of registr'ation of any registrant to suspend him/trer fn:m ttre practice of his/tror ptofession for fraud, deceit, gross neglig{}nce or incompotence which will satisfy the above policy? A. Act of government B. Order of court C. F'.R.C. ruling D, Ftules ancl regulation, policies of professional ethics of this act
''"4S"WhatisArticlo I, Sediofi 1 ? ;:':,'l :'ri:.*,"" j:,':,-,ji,'. r i-;' ', , '" . 6*; 611 Ehdd€l Engineer snail Oiscniirio his'Outhi... absolute with fdelity to his clients and ' omployprq and shall at alltimas lmpartial to all.
B. An Elodrical Enginoer shall uphold the honor and dignity of hls professlon. C. fui Eloctrklal Englneer ehall only advertise his work in a simple mairner and avoid any ' practice that will discredit or d
D. An Eledrical Englnoer shall have due regard at arll times for safetyof the lite and heatth of his employees, other wod(ers, as well as general public.
46. What is Articje t, Section 2? A. An Electrical Engineer shall discharge his duties with absolute fidelity to his clients and employers. and shall at alltimes irnpartialto all, B- An EletXrlcal Englneer shall uphold th.o honor and dlgnity of his profosslon. C. fur Eler;trical Engineer shall only advertise his work in a simple manner and avoid any praciico that will discredit or do injury to the dignity of his profossion. 0. An Elor*rical Englnebr shatl have due regarct at all times for safety of the life and hsalth o( his emptoyees, other workers, as well as geneml public. .
47. Whst ls AttitJe lll. Section 7? A. An Electrical Engineer shilll not accept compensation from more than one interested party for the same professional service pertaining to the Eame work. without the consent cf e!! gflected pa*les 8, An Elecdrical Engineer shall not divulge confide,ntial matters or information which has come to his knowledge c;onoeming affairs of lris clients or employers, without their conserot.
C. An Etectrical Engineer vrho has been engage to prepare the specifications
D.
'
of machineries, equipments or things needed in'a project. shall not make the specification to frt the. machinories, equipmen( or things of a prospective bidder for which tre hbs been or expects to be employr:ld as an engineor, u,nless he has consent of tris cliqnt or employer. An Electrical Engineer ehell promptly disciose to lris client or employer an in'terest which he may have in a businoss that may conflid with or arfect his decision regarding enginoering wo{< forwtrich he is employed orwhich hs may be called upon to perfonn.
48. t /hat Rule is the opinion on and interpretation ol'R.A. 7920 and the board's rulds and regulations'i C: ttule 9 Rule8 D. ttule T B. Ruls 10
A
49. What is Rule 13 in R.A. 7920'7
A'
B.
'
Action on Qommunication Places and Dates of Exantinations
C. Ilrogram of Examination Dr Publication of Examination
50. ln Fulicle l, Section 3 states that an Electrical Enginoer shall strive to upgrade his skills ancl to the public. knoudedge in Eleclrical Engineering in order to give the best A- workers C. enginoors Bz service D. interest
possible
Please subrnit this test question set{ogether with the answer sheat to your watchers.
OOOD LLrCK !!!
''"4S"WhatisArticlo I, Sediofi 1 ? ;:':,'l :'ri:.*,"" j:,':,-,ji,'. r i-;' ', , '" . 6*; 611 Ehdd€l Engineer snail Oiscniirio his'Outhi... absolute with fdelity to his clients and ' omployprq and shall at alltimas lmpartial to all.
B. An Elodrical Enginoer shall uphold the honor and dignity of hls professlon. C. fui Eloctrklal Englneer ehall only advertise his work in a simple mairner and avoid any ' practice that will discredit or d
D. An Eledrical Englnoer shall have due regard at arll times for safetyof the lite and heatth of his employees, other wod(ers, as well as general public.
46. What is Articje t, Section 2? A. An Electrical Engineer shall discharge his duties with absolute fidelity to his clients and employers. and shall at alltimes irnpartialto all, B- An EletXrlcal Englneer shall uphold th.o honor and dlgnity of his profosslon. C. fur Eler;trical Engineer shall only advertise his work in a simple manner and avoid any praciico that will discredit or do injury to the dignity of his profossion. 0. An Elor*rical Englnebr shatl have due regarct at all times for safety of the life and hsalth o( his emptoyees, other workers, as well as geneml public. .
47. Whst ls AttitJe lll. Section 7? A. An Electrical Engineer shilll not accept compensation from more than one interested party for the same professional service pertaining to the Eame work. without the consent cf e!! gflected pa*les 8, An Elecdrical Engineer shall not divulge confide,ntial matters or information which has come to his knowledge c;onoeming affairs of lris clients or employers, without their conserot.
C. An Etectrical Engineer vrho has been engage to prepare the specifications
D.
'
of machineries, equipments or things needed in'a project. shall not make the specification to frt the. machinories, equipmen( or things of a prospective bidder for which tre hbs been or expects to be employr:ld as an engineor, u,nless he has consent of tris cliqnt or employer. An Electrical Engineer ehell promptly disciose to lris client or employer an in'terest which he may have in a businoss that may conflid with or arfect his decision regarding enginoering wo{< forwtrich he is employed orwhich hs may be called upon to perfonn.
48. t /hat Rule is the opinion on and interpretation ol'R.A. 7920 and the board's rulds and regulations'i C: ttule 9 Rule8 D. ttule T B. Ruls 10
A
49. What is Rule 13 in R.A. 7920'7
A'
B.
'
Action on Qommunication Places and Dates of Exantinations
C. Ilrogram of Examination Dr Publication of Examination
50. ln Fulicle l, Section 3 states that an Electrical Enginoer shall strive to upgrade his skills ancl to the public. knoudedge in Eleclrical Engineering in order to give the best A- workers C. enginoors Bz service D. interest
possible
Please subrnit this test question set{ogether with the answer sheat to your watchers.
OOOD LLrCK !!!
1:10'
' sirnple power rystent composed of a generator, an-ideattransformerftl) phase load three 20:1 transmissionline of impedarrce 30+i21dohms. transfornret O2-) of iOfj vo[s' Bases aro 10 of impedan cE 7 .O'7+i7.07 ohrn per phase at line voltage MVA:460 V. Vr/hat is the pen unit current? Pu' A.0.02116 @9 00116 pu D. 2.116 B. 0.2116
,tr0.A
pu
Pu
power factor tagging' The tirst i 1.The total load of parallel generator is 17.5 kva at 0.76 rated condition' Whrat is the real machine has rating of 12 kur at 0.8 pf is operating at Qower delivered by the secxlnd machine?
@l isclo B. 1200
. X2.
watts
c'
13'3oo waus
D' 10,000 watis
watts
at i10 volts' Tlro cold resistance of A tight bulb having a tungsten fitament, draws 0'5A temperature the temperaturB coefficient of the filament is Zgbhms at !tg.'c. At thi; oC. Determine the operating temperature of the resist.ance fcir tungsie1 is 0.005 per butb.
c. 2520'C
A.122A.C B.52O.C
D. 2020oC
square rreter rnust 13.The lighting lcad for a office expresse
*-
@ruVNsq
m
,, F 4- 6urtltt'
as follows: 14.The voltage equation in a,certain elecCric circuit are 6-l,iRr+lzR:-lrFtr=0
12-lzRrtzfu+LRs=0 lf Rr=12, 1-1"='d 3nd Rr=S- Fincl lr & A. lr=0.057A &l*1"44 B. L=0.97A & lr=2-63A
lz
(p. l,-0.'zo7A & lz=1.7594 -D.
l,=0.t57A
&l*2.474
resistive rretwork shown l5.Determine the tota!current supptied by a battery to the
,[ftffi---=Ts'r1
3oft
l0v lo5) A. l=0.5A B. l=0.3A
C. l=0.lZA D. t=0.'7A
l6.An emf of S volis is induced in a cci! of inductan cunetnt in the coil?
AJs .,L = l.r J, ",lt 8.3fus
A.2
e 2 H- What is the rate of change of
(U O N'" D. 5,{''s
power factor lagging. T9 9u ibte to 17.An be ptant has a load of 100 kva, 3-phase 801/o be connected-open delta' 'Nhat is serve this-load, h,vo single phase tranlfc,mre, a,oio the rninimum kva rating r>f each?
A.50 B.
1oCI
c.75
D. 124;
to be cpnnected open delta to lB.Whatis the kva rating ol two singte phase tran:;former power factor' 800 kva, 240 vo'its, three phase, 80% supplyr a load of
A
333
8.1000
c.750 I b' sot) \J
le'Abaranffitr-fi
.
4.8.64
fE \-/
6.e
:i:*ff":Hf; 3itT.?:lfl
T,HB[li.rromthreephasez0T.svorts c. r.Z-dri,-"i'
kvar
kvar
o:i:iil;'
20.A 24 votts battery delivers 15A to a motor toad in ($_)
!"!
tnrnr
i0
lp",
rninutes
a"v.what
is
6e
C. 7.3 tcwhr
B. 6,.2lo,vhr
- Y ..* e{(nY?arr*"' ,*,'n ).,r1,' *E4f '!*t ^2l'Adelkrconnectedkl.adhasa6erdtrase'ilipedrncc'of24+!12o.hms. a ltrys connected balancs $ourco through a 31hase tino
llssuppliedby
wir@6rrm resistance and16_ -"- '1' ohms lndudive reactancs. The vottage g'tu"n Va=240&aodrg-" by iuc.rurir"i. \to=:240L1-[Qdee Vc=240[Q0de9. WEat k rhe tine C lurrentZ 'LJ&
hr..n
4.5.q14.4 A B. 15"14_i2.62A
g. e,gc*iir.e'A
D. -1t;.,14+i;.oze u*ls
22.Calculate the vetocity with which a 200-kg rnas:s must move so that its kinetic energy equals the onergy dissipated in a a.2 ohri rresi:stor ttrrougrr which a 100 A current flows for2 hours. p : v -r.L A. Z7$.8 r. ,.'rr @ SZrl.Smrs. B. 453.6 x,,.-1 D. 1215.9 m/s zt" . ,|,lu'' ! rur r6-.il i'"Irtr.r-) l5^-,I' .-h"e.. 23'l F.ltjriven generator suppties tizs kwat gio6 emciency. tf the toss in the drive bett is 2.{i7o. calculate the horsepower of ne t'o urive gie gunu*tor.
m/s nVs
,.. '';
H iiii ffi rrp -
@
1267.hp
,r
;eer;
llt;'rclro'r*
"njine, 3. ffi|13
j,1"
l,ffi;:
24-A fiLlcva tr,ro *ildjlg l, r.ooo*urvortr 3yo impedance is converred as autotnansfcrmer 2640:2400 vorts. what is fte n"* p"r*rit inpedancei .A- 0"2'fo/a
B.z.T%
3;31-
what k the minimum size grounding electrode copper conductor? 'v"Ysv\vr ' {iq.mm c. s.s sd.;; A l.! *) (98-0 sq'mm qrfpi^D. 1t$ql*, -r olun\urn
25-
26'in s.hort three phase tran:;mission [ine, thb rebeiving end line voltage is i.+o votts rms a{ th"o lmp€danr :}*.:rrn{!1qg2.ehrr.}s c"di;;" a 1:i-!(${at the receivins end ard the tosses l{Q{t*gi wE-a[ b fte ptuse vortase
\---l A 136+ila B. 138.6{j6.8 v
i:iap..ziiA,U
oG]nui-'' "
o. fi2.+i1a.{
€
2?. What is the minimum sizir grounding rod?
A lomm B.
lzmrn
28. ln a pouer station.
'th" gn."ryy content
€)iilrn
tons 8.2.537x106 tons 253.7x10E
f. lr, ?ec wn
2xloo GWH of energy b to be produced ln a yoar..To be supplied, of the coal is s00 waits-yearltdn. How rnuch firel ls ruquir"a irtn.
energf ls to be supplied
A
c. i3mm
Lry
the coal.
C. ZS.37x10o tons D.0.2S37x106 tons
29. A synchronous genera-tor having subtransient reactance
of 0.2 p.u. The generator is connected to a transmiss[on line having a reac*ance of 0.304 p.u and , Jnort circuit rating oi 0.6 MVA at 480 volis nominal-voltage. A three phase fault occurs at generator terminals. Dqtermine the fault curi'ent. Basei are 2000 kva and 480 votts. A. c. 13,200 B. D. 16;700
16,300 17,620
:
'.
30. ln an ac clrcuit" the resistance is 4 ohms, while the r;urreirt is 12 voltago [n lns,tantanoous fonn?
A
48cor;(BO00t+g0d€{i}
&}deg. What ls the
C. 68 cos(ll000t+30deg) D. 98 oos(13000t+30deg)
[]. B8cos(8000t+30669 ;
31.4 6000 trolts generator suppilies power to the transnnission line with the three loads A, $3 anC C. The loads are 4,6 and 10 km from the generator and draw 75,25 and 50A respectlvoly. The resistance of the lino is 0.05 ohm per km. What is the voltage at load
c?
A. 5970 volts -; 7 8.5S62.5 + yU
.
C-5s50 D, 5952.5,r{ c
ix?"'l"wo identical coupled coils traving an equivalent inductance
of 100 mH wtren series glding and 50 mH when serir:s opposing. What is the value of mutualinductanm? c. 62.5rnFt t'/.i. sz.s ,^ | l(\ B' 27'5mH IYI' D.75mll q "t'
mH
r,
33.When an electron moves be':ause of the press(,re applied
b
it. What is the resulting
B4Ocess?
(Alnow of cunent 8. rnelting
C. magnetic induction D. generating
34.lVhat is tirc purpose of reaclors in short circuit? S) to lessen tho current in shrort circuit. C. to open the line in short circuil B. to lncrease the current in short circuit.D. to decrease the circult reslstance 35.An iron ring one meter mean circumference is made from an lron rod'of round cross section 10 sq.crn. lt is wound for 200 tums. What cunent would be necessary to produce a flux of lmwb? Relative permeability of iron is S00. A,7.964 c. 4.97A
8.0.54
36.
D. 9.6s4 o nl*ii?ncc
For y-bus system shown, fincj yrr Une (bus to bus) Fi,pu 1-2 0.05
.
1-3
?-3
a4
A
3-4 &j9
B" -1+j3
0.10 0.15 0.10
0.os
Xpu 0.15 0.30 0.45 0.30 0.15 C. -2+i6 D. 3.66&i11
37.What is the frequency is the wavelengtr b 0.5km? A 600Khz C.600Hz B.600MHz D.60KHz 38.A syncfironous generator having a subtransient rselctance of 0.15 pu and operating 5Yo above lts rated vottage srupplies a synchronous motor having Q.2 pu subtranslent reactance. The motor b connected to the gonerato,r by a transmission lino end a transformer of total react^ince 0.305 pu. Riudden llrree phase short clrcult occurs at the generator terminals. Determine the per unit sutrtransient fault cunent. C.. 8.65 p.u. i$ S.OzS
p.u.
8.7.98
p.u,
D.7.86
p.trt.
39. Three single phase transfonners. 25 kva are connected delta-delta supply a batanced '75
load of kva. One transformer is removecj for re;air, Fina the kva load of eaclr remaining transformer. A. 43.3 kl,a C" 5{l kva B. 75 kva D. 57.7 kva
,{0.What is the maximurn bend _ _.._ o .,,f Rigid Metallic A" 2 euarter Gonduit (RMC)? C. 3 quarte r 4 O D. S quarter I, Convert 'l ,ggg-rprn t,c racfian pr:r second ,,\. S00 ra,lrsec C- 477"46radlsec D. 314.16 rad/sec 42, J"fre maximum tidal heacl avail,abte for rh^
quarter
U.'377.4radlsec
B. 220 ud.k . *:'r?4ffiil*"ffi "
:"i:l8l",f ifiT,"f",ff ir;,J.,trffi -'.- :it#,7rn,re '-'--' -" 9. 112
rq.rrn
,^ilil
'',{i!il ,; s#,#,tr [ :lJHgl]-# :.:Tff c,ose t? :.l" punarit luminai-e - -d fixture with completu.on"iJr-uo t"*p C. incendescent f3(ure with padially r), i.candescr:nr dil;; *ii 5iun oo,pencloserJ tamp
--#?1'ilIX,['n't'm
s.s.sr{."r*. --
size orwire in ri"rhting ouueri]
I
?!sq.mm.
D. 1.6 sq.mrn.
lr1fi,h:'.,hi.',T..,:'i",,3i1fl:d:,,f
A
BS5 rpm B. 1704
i?:+?t1[,:e.,H:T,,I3[,.i,*peres
rpm
91!so ",r.n D. 1gO0 rpm
46.An armature crDnrlrntnr <. ^_ mov€s risht crnsre ,: fr:ftfl1'J?r:TJ:J n,ssnetic nux or.,r.20 r --.. ,r.,a*s ure rorc€ exeetc€diyine f.rrvi"; tesra A. l-Z conOuctorr? B. O. 12 N
it
$
N 120N
t'df#tffif*tl '
ca,:acitv of cr'rcuilftrreaker is generauy.derermined
E. line to grounrJ
--Sffi-ili$
fault
9. 3symmetrical riun"'-Y D. line to tine fault
.
bv vr-'
lr lagsins -':-."yq,priud ar 200 vorts 60 Hz uis desired LY:,9.9usins capa<:itor. wfG ro raise il- rr,r. orcapaciror? @lz['e.a.ii"^-:,flfltr E. 2.3S8
mi:riraruct
4g.A syrrchronous g;enenator incl
9.23.98 micro-far:ad D' 2'3gB rnlcro'far:aJ
m,ctr
xtr*H*#it'Il:,trftTl$,'4[iJ":J:*&#fdiH". ,1,ffi ffi t:#ffi ljffi ur*( rd.[..g",,jiffiifrii,rxHf,i;t:?#l*,,JTiif vvr *o,o, A 9.6 ii"Hi-ffi
ts'
7's
1]r ro.g
50'Two wa'ttnreter n,etnoo"or measuring
r*o
'XXlfr,#io 4.0.6 6
oe
*"ti*;ffi;:,;
@)e.oe phase power is appried itgs *"L
ozr z
t
r[o']Ess wans
glSg GCOD LUCKIII
to a three phase respecrivery. whar
i:s
t'l'ulNEE'I{ Lrr;blt iuRE bxAl'-ai^i l,r:,uiot i-itLLr i',LLrj'l'itluAL
l:l !: i)Lr F'r'
r',{!*lis':li'l-t-o:
ff,l;:in"::'::i,,:li*B'i,i'ii:" ui-sr8!!s-lQ{l^,::}:.:.:1",:::'::'"f,::}:: i :l " P-IsY:eeo':]ifi iiill? iL *n3f; o?:X'::5 :: ea #$iltrffi1g-i : i. : : :; : :fr aT"::f, gpffffi. ih9ii:^t?,.1: "oI^:l3X' " :n"38 ti];;:^ niit.,i'[u. i's''-p"n"1] no' I on]i'' i- ";!rUL'i'IFLL iiHUICL
I
I
I \l\
(l*.,o) circ.Le, ltC Ic" ceni"l4'*P..ll:-o1of the circ.Lu, \ta I *'h.-;"--s;;:' I d-'e' r - 6cos u '' oI Ol \ U '- q " -'o'-o' r -'''I'cos { -.''I+COS u Y. I - lZcos'u maLtsr wlLlr'marglns '1. h'1tv;'.sr is Eo con!ain.lpOJgrr square)^9i^ftl"lod Ehe ove r-
Ftnd
L'o polur
eqrraLlorr L.
lt':t:n.ilffi;':'"0 tili.ir:t' iir'jr"li,.,:li;it,,:i"i["'i;g'::i1":iHry. co ro zO'.b5 3f B. , .'t5 ,-.l,Zlg d .'.":';: I ;;;':i "t;; D. ,5.5, . r'("7 c,o the llmlts of r d1 drrr' !,v;rlriir,-'r t,trs ctoutrle lntBgral r slnouo':*.r-* pl 'rn1 rzr and ar,,i co.'i u ,ia*itii-ir!i.iu"oi-u-s.e ' "6: ii @'/l
' 3. ' ,a. I
'
L/'n,
inoney
u"
:
B'
are
. - oonth tn lhe cookle Jar' "Each
O
ho
uti'f;I i,-:[:l'3"T''i;??::ri!i":[:"iil'llii.f;"r;*:;ti:l*' B!!! rv' EEv'veirrr, lle counted hip nolley ' ' ' ? laq!-month' in-iii*''iar ln" the """u1.fr1 :tot'' c' n4'5a. D' n2'5a 6, .v'l).ra
]3,.
" \'/ o,n':'il;1,:ri"'"'u. r?t-r,-i) @ (r,2,-r) ' D. (-r,-2,1)
a.plaeg.l*s Eo ta'r'J''1uE rows. te rro
6.
ii:;L.'6 :;'iF;.
r@
*:l
O
8.. --'
r
rzo
t'
arvided..bv A. cos i\L
iti
ar;ii;ii"';l'
il.iif:: ::ll:"f';;ll".liil"* i/g
*,*12-*: :l'" r'nv;rslrllPrace transrorm (!) sln r't'
oI'
lsL second' covertng l+ fL the' * Uicycfe !?1:i?-downhlll socond than each ioi" 9, i, '- r'l oti L-ri ..["i;i";;i""]i end of lli i2.tt, Llit se"oir,l second the oot'ionr-at rl^qt'u*tiu"f,;;-;[; Ll":
r)r"-:v' 'rus
:i.'.,i,j;ii
sccolg:
i;" r"" fli+ril"rlol"@" zau r,
D. ?Bc
r.'c
polnL otr rEs'circurnference
., n.:,,.:i.,'t_i,,.:r""iiiia"5:;i.;i,.-;.,itii],tl:ii'.,.i:trr3r;r:|r,l,},-,,.. {ii)rl''.r c,:lILcr ol ,:r.clrc}e }:-.t" {I'}).:ld,?:"
(J'b) "l\' "i'tl' ln Lhe f orm of :r con'prete pyra,,.,itl arr: i'i lect spneres ' ]:1 . r i uqual!.1:'tlrher''as -':,it;:;r:::a;:li.l::"1':l'l::'1,:t r:I'rI . :, , 'ii,.7 :::i"I]:' tL"""c.it ,.t,^,.,,r.,t,,t.' t,",.diu lJ. lil L',,
.1.
_r
! w) i,. :rr (: i ; lli"lrs io;r'i'' ii';';;i"il), O ''/1.:': ,,'-t.ti;: t:[, .
,. 'r'i':i: "
J.:,;.r1
.-,:r:
I
lj(ri;
l.t.
lr r"
"
'v)
,i;!i1i;'li,' lrriti
, ir.
ri ,
,*
.i
i
.
ji '
.
rr,i
i
,
ri i;i
..-\
.F'ert?.Fha
iliitiil
I
iii|iI111p'l
iilili
I
\itra! Is':he elurpl1fj.o'iil;ticr,,i$|px ,ixplf{iJston (4..rI + ,,"51121"65 a. 1b[:,zgliili.. :_ 2,.ci
O
, ,, . | ,
' tiitili, wlrh an ar:c;rtItr:r'; -
.
]
-
.t
,,
A t;ra1n, an hour aft.o:.i ,laJi-.alrn*.n:ereLs l,-tLt'll:.' drrl airls 1i, an iroui-, ar'ie:- ',rirtcli :rtil,liiod,iea:i iir 3/5 of j.t,.s ,:.'f) i' 1I t' t'rrlt: a trr.d arrlves uhiee hours af ior , uilr"; b;; nua- lr," accirJr,rrti, ,) : l,,r: 1,(t m1les r arLher cn the }lrre r, : J.lt woulC ,inave ar.riyerl ;rr:r:l l;-(lIr;,,:.r,:)llrr: htr--.1 hour sooner. Flng[ cire. }cngCd i ,f:, [he jorrr-1oy . A. grc/9 milos ft) doo/t) o|,!es.t.;.,.9?j/9 ml_tes D, ,i., r.-,r") riil-,'::: v I
,
J (,.
ii'"
j.
"'':
rf rr :.:i, any posl!ir,,,'ri-filir,ugilll; ri",l l'irr-r) in-2 )' (n-l 'b.- ) t: o
sn-'l
il-;.-n:.; )l',iil' r.r ,
fF) \-/
'.1
' ' ' !:iI :' llIJ -
,
i,i -.i. lr,
the area boundrrd by uhJ parabolas y = C,x -rr2,, ::ti ' y '" .,'' .:' - ilx ., l'he parabolas Intenract at,pointi' tO;Ot'rn. (tr rli)" A.. b\/ ) sq unrtsg} 6r),/3 jsci unltsiC; s,9 unib,i l. , lth,/'.| sg rrnit.s ,7Lt) ,) I {;. locate t.he poinus qll in:llectlon of the cur,!_€ y = i'( :(t =:(,:, ,,'f o A. *?tt[T l;, ?!{:1 @ zlVZ':ti . .,;Q, -zjtJi ..,( J i). A and IJ are poinus ()n Ute,opposfte banks of a corL.t,:it, ood;r::)f. lririer'. . -Another point C ls .Loca'ted suclr lhat'AC ls troLl m lt.l:i 3C is j;ji00 ro. ,.,;;2fi.Fuin!s A,B and C fo;:m.a rriangle, whose ver.t.er. is (,ri ) i.,iult :rrr anglo -t r;;i7ot l! ct egrees. *naL rs lhe , ryldth- of the t,ody' c,f w.rl,(: :t in ln.t t;o:'t: '/ -i) rC. 6JLr.l!. A. o51.I2 B, b)a.r,8i ".V)' l.'. o4.J, jj lt; (). Glvon the equatlons x{.yrz ;12 i )x-y-?z' -.' t> i Sx-'.r-f s:.L 7 .: .-'l I Solve f or y using d,)ierlninants. 'i F'ind^
:r t,
.
I{. }
ts-2
G):
D
i:--" lf e'= tuu srniwc+jrjoj-iJ cos iwL + 2) si.n(:;wt+tll).); uclLs irnd I = 20 sln(vrt+lr0o) F l-0 sin(3wt+3C9)-) sin(iiwt,-5Oo) ,rr:pilr,r.:, c.3Lculate the po;ver rn -il.1.,;.1LLs. iil7 A . t7'.i? D. 12?d o, I0Ll "i, : '.rtr! --,--1 , kadiur: ceconiroses aL n rat€ propor.blonal to Lhe a.norr :: t irE . j.nsca:rt. In ittO ycars, IUU ng of r.adirru Oe.:otr,1)osc tr: lto ,r,a. Cor matly r.g vril-l. ne left. al"uer lOU yearl': -Ed .b B. gs "l/' c ,' tto ? r r,A " ',? ,\; . l .:tr l@, 92., -t,, ,L ,.], I;:"r*"u of orick! rris br ;;i;;-, i;,,.i;;, Dort,.xi rayer, )B rr*cds ip the. s;econd r,ayerr' 55rUi;fiksrinIUie, rh:ird layei,,rnn so cr ' untll there are LO bricks'1lh the 'iJ.as;t ,laye'r, J{ow aarr5' bric}::i are r;': there al 1 together 'r :' ' :. I
A. 5lt; a. 637 i r,., r,i;..) 6 or, I l!' From a trill 600 ft high, uhb aogtt,sloL- dr:;,sr3ssien !o t;hir b;.ses ir. opposi.Ler dlrecbions are 42 ,deg anrl. 1.9 del! 2.) rnin- r,ili.:.pect,il'ely. !'lnd thu IengLh of t-he propbsed trrnrre.l Llrr.orrg;r the }:a.i;es, A. ?,:;89,:.5 ft, bnt2t,r91::L't, C,. it,5'X),.iji fr tl" i.,59I.2 ft 't:15. Ii,.rl.rlpll. r,ha
:ll
ff. {lx+Jy)(iiley1.
l:
A. 1u:r2-2)-xy+tOy2 B, --tox2+ztxy.rti.ly? @ iu";l +21;cy - r ri./2 16" SoIve fr)r G j-f CSC{lf3-.}oo)i
A,
)a
,les
@ I q".
= i)EC (5,G{.2bo ) -
C. O rle'l ir. i1 rlr,r1.; jlhe prcilucL of iwo posj.t.ive nunibe:cs is lb, F'.i-nc, ':.lre lrjmt)r:rr':: if' siu11 of, r)l)c Bnd the squ€ri'e 'of t,lre r)tlter i.s Ieirst., C. 8,ti r, ;J rtt ij. 6,4 (4" ij',,z 7.
,,1.
:il,
t
he:
t8; .q'cur di.iierent colc,r 1),ags carr e hi;ng j.n a _co."r .i.o rt,ii;<.e ,::{)(j.ed. lrigr:.,tI, Ilow rranT slgnaJ-s ca.r, br: nrarle i-f - sig Al rt o ri-s 'i:i-i, :; -r, l I -:t. h':... l.,i t;PJ't'"ir Lrf ol e ,)r more f 1a6,.-, 'i I
<
ff. \/'
t,/,
(: ;9. r,:efri.xl
L-i
il, rri)
.l-1 [--i I * 2 t:.t.r j.:r ll Ir I
\
eq':':-
-o'
A- Ze-r
- 4e-c @ ;;"; _'i$j|": ,W,.:!':._lj ! +/t' ,* j1
=iJ[-r-l i
*;;
i T*,1*: .""' ***rjj iisli; "k* ;; il, "ifli i i#ffii :"'eairh . lr,r; * "egi ltf, sPeed or che .nii;,r,'gii:_:fii:a "., iff, ii-ip:6".ii9.: iiqd e" 17.?,:!X;,ti;i t+ ilforif;5lrriJe B, $.4 c' 6'r* ,,,. I Jo88er sr. if r:lgi,'; ;;ill,i j"ffII':.:;,:hi,,scjy rare or @rr.o i;, ($'*, ; ;; : u r "!t.,i;-* qffiiji. it*t^ :ft il; i:iJll ii;' .,*r;.i;, u D' ]8 rarn "' l,ii'f,,'ii;;;' lif,_.1*;;,/";;i$-r,;,:;"it rhe €ruarlon o1.Dhe "j:,; _x_2r$
i,:
"
n
u.
i';."r1;.
,! l;:.:"""t_, ,u.,,,**.fltty (e + rzrp,+ 1
?^il-''
", $j:ii:r'r:
_;:-b
ffi,,,:i:
,D.y_Z**
t.
"'5r,$,i; r#dli{i}if,,r'"il,to
**:-
B.
ll-fl 2, Hhi ;t n "
,
#l :l
*t, ;;
3^
:
"i,qfr$tfl*i. $",ffi1[il;-:" i :i};,r," ffi{iffi i
u1*u,$:#*=#l*;ffi#d
;iTr;-{:,:"t"#;'6},l*FffJ+,
, li/ffiffi'T*itr:'L:-
) -r"l
i
)t rt ll)
\,
'.,)t.i..iti.., .l .. i i
L.
",
j:':
" ,,::i;;i:i:,ll;i'::r'3ri:;i:i;"il,_;,io,,r
,;',,,'tjli: , |t ;,., ;, :;;1" ::1,:, ;i" '
1,,,, are {,::r*:,jrt.li+:
:#li*r,::;1i.,;iti] j'i5'5; i,!;".]J;r,: ii,,,;,.,;;';.i'X5#":,il,,#u''ioi*IJXI -Llrr ye', n2y n6' ""d: -*.'", ur,u
r in,i ree rnl*tra I or 1gx _ ., , :. ,.n(r:x )..t a-|
1,."
]). Lrz
x-r (l
;
u,j rr(' (4I ,,i Llrer yes ()r ;'iri erJ t.r,,, (,.,i ,r rJ rlx . t :!
no
i; t
f.*.cos E - ] frld y - Zsln t raLos, G-1:i l. Jln::,oxLr,eno ,4. and 2 tt/srec A. 3 anj
4/i
. If $ln (rny ) v.t+2j ^.
-
;
O.
tloo .1rr rroconds. the cur-ve ') fL/seb @?'u:,'a L t,"/,
9o5g ana
a..o.i;io
D. t.cr
45" tvalua.:e rhe lnt,egral lnx A, lnf 1n.Lty B.l hrlte 46" 1n rhe -foro a -i. bl t A, I B. -1 47, Dotermlne the
aro r and e , ,,', D.
,3219 1..-1
'
rl
.'
. .18 +1
.l+27
D.
.)
oxA. Llllpsoid- 3v2l 4B: Flnd rhe lOt,h
D. EiIlrprlc
/r. t)fo
u';.'
il"
,ri
Lhe nurqber
of
D. rions
oe
8., 60'
lgutigr
can
tsANArr"A
D,
t
lr
.!-
l'.
f;J
1653
:' D. l+2 ? choosrng { ,by
1p
lr-r
bolold
Para
,24
,I
men J'rc,o
T)65
t-
:1.1
I
|
:!'.ll/:
I I
r,lAl.4E ./
sc:10ct-
.
a: 1!ar'-
'.
l
.{l l
':' I
'
i .A:
rL t;
,s, -4, ,:f
4'
't. 'I
,f
t',
,,$,
,8.
,Wl
)'ffi'
.Yt
,,
",l ,4- I ,.t, hr. t'_.
tf,L H: rili
'ry
!r
i
ll
i
r:rl
ii.. .'rir' &'I ,l: i!
ri:
'#i
.ml
,'
lrJ
I.
I: L----i-
... -
r,-'" -- ,:. ir,r\!- r.' ,jtr!.
t) tu ^
.,) =(*) ..-)__.x::rL*fit{=U:__-l
'* 1= = I i. t_ t:, =Lr *" )a _
_U.
- ItI
rt'
y-9gs_H_;o _, --' .- ..-.-:aH_:(/__-.,. .,, _-t-:
'4 l-dY#,r.irtg
i; l"'"'-,i:-- *":) = *,{e ,)i-
l)= (r-:I I
:;ir..i.j
,- .J,, ;!,5i1 1.,',;tr, j' r' 1
"
.-Lt '':
,
-/-f
rr_j _
6/*O.-
II
t:
_":-_
-__
-.-l ,l
['x.
,rl
I, _-r! - -
'1
!x D
i
i
;
:j
DU
--.'
I
.5
: l-ll.'1
3
Lt
!tk.
,'.,i....
,,0
l.r,
t fo &o a.{.u.;.,t. tt,ilr c.p4^ utlrt .ro.fdyt, ,n.t"lLoJ lt,,..,'|i;...yy\t'|.*.^...._.,-,,|,,',o,,, /-r'o.^r,.:uri-lr\
i'.r. i. , .J,; r: f. !/r_; o)| r .: 0
r
t
Li
:, I
l,
L
t
t.
'"
/.r1.,,
:.-.
'
,, ,,,, -i ii
'1,',,..,
, .!At ,r"lt rr [ 'iit. & oo]-rnac, rlrt Ji ll l^-,,-t;,,, . i ,*"r.1, , . t, -/ ..\ ii gl Ou,rr.ty'o;o ,, , "j :1,,,:!
,l
j.t-
t i,
.,
d,a
tl
!
c.,
l-,. :1 I"
Ne-r$-
. crl*.ifu*+*:_.
4t 'x ',1
,. ..'1, i
i-
,)
'tt
cL,-r
---'-))
ll
4"i.'t
(
)1
?-f P1r,r. "y,:./t( n^-l -,.
.i
l i, r
::)si;,1.:i,....r...* ., . i, .,J' r, ' triill,?li;iLr. r,1.iigi$:gX;1.,,i:;..
I
fl3',
s I
;
-n I 4\L 0l y1 =--
" tt ,',}
,'rr r< 1 = /t, t) '', -gu. ',iui.ts&: ".f f*' ?v:-l*': of fd'-' .,1 ) .-, 1.,.'- '.,{'.1'^^fr,['f'Jfux af/':'- ^'l ,tt '
f('\:t
tii]'/'t
i) '-'l n i fk' oi-o(-" ii'n*'^Ti' (- ' ' : t
li
Gl -i)l
*' :,= lljti)lXg _.dg* -f ,&4 *ty&&fi:2+'-
,.,j>
--]:-=-ry;;;is1*t-x44-tru*t*-
Wl'
.rrr ,: / 'tr'rta.,r : :
-l . . . ,irit;'t ,
. .; :.r1:;y11r,... ': ',1,;'
'i]: {iil,l ,..r:.
e
I ffi
r
i@
(:l ,2t t
*Tf-lI^.rZ
-, ------:-',..' -z1//'r/a^ol = e:;./,dgJ,
{sd
_
,
__-
i.!L',W.s,-=V
-: ff'.r
r"..tr-i,
-T_.l.l
r
"' :,tt t1lyv
,
'; h. .ft.
1u.,*4_:._.?.
i , 1-.]' = . .lv )' ,; 'i a:;
..'i
-:-
i
-l
[ *b*-l
I
--_-''t
+t 3 I
I
rir ---,--l
19:--1{Y--.-u?-;'+i1-:-3;4*J=-t-sp.(lm ll , _2,fs.-:.9:-9-€-" -r ro ;'!-as s = *l.T-;--s_=#_d_#;-)i,-, a @
@ii].iy!=(l:r)(n=,)(n=[j..::l(QC)_&=-.:,Jl [9'ti =. r,,* -,, t.. .' x :"14- !!, --- -* o l-
I
'
\
u^ J2
Cl
it -19,< -s,
- ::.' @_
r*, I /?v /\ -'It:)" J6
Lt .=
.t r,1 = €?-o d
= x le- |-_#g'= x'[-;**'jzt)----i ar. - t :\ ; g--- eI{:--* *) + 6x -x1)L-;I)
o7*{
, t ll -
I
lr'' i '
irl
..
-.'..
t
j
l.o..r.r-
,l:i:
....
r-t,5/1
I I
k,[:'{
.l-
,,'
,, '
I
) t
il
-,1
'-r
r ' iL'
:--l - ;)l!
l. -- -;-1, ijet )irlI -.1?'
,.,0'.J ..3.= '2-u 11-_(1i", t-ly_) ?!i\v! -t--:t 1i" ) l::-:, -lli f::-(] :-9. 1 ,24 -
.ir.r,,(r.oi
--i
i -t .-. :
I
----iTil["I;:irr---rfr:--*-.r?i
::-,l..- :+-TI-F--B:
I
c
r,*t 6t
,,r
rj.ii
r^c
,,|
*.{ .: :i:s- //;u*r.r)' 5
-F;___-__:-
-
Rt
!ti'
q dQ __;_; I
-.
i
i
fy' :: I Itl tt,--l':-.-
'r..'b,. lt:
.-t
izt
;
il,r.11;1t.
.it.- i( :
1.
t
i)
;- li-, inrr.{fi.,y )y
-t
A
11
=
0, *b,-!-\ol_ ;
_ 1i.--. ,... * ll t*.4.2!,=
.- c,,
=-cl)-,I T"*-@
*T 4.P,
aL-z !-o*,
rtoologz(zoo) 1 la iA
-/
flt:
tJ_r_d=:g
_-.--
_-.
- -Jl8i ---i-l-'' l'
I
' i-!,- -----
-il t. t.
,l .tt -El
;l :.I . i.)
'I
--
-L-" t.
__-._-
_*
(l = 4oo+ ro' : ,tfl)c
6i \v ,/, -. -.--
,.!io'1?.0'' =
lr-,
I
-i I
tz'-\'
ii9l:i
',ryb
=. 9t1{Lqg-:!, i,_t_ .*\.
t;.s ll : i<'s
ip-
\-\;' - 1-70_:_tf oo.=..-d- -! su tl, o*lru.'^ *=:-',"Lrrr 6.{ ,rrL; 'n
C
fuJ I
c
(:
cJs lL.cJ5.:.-_ (.r'1..;1-..3'4. t,.
--
i
lt
C'r-\-./ i -\/ <--.
*.p-bs/L-
.
f-r
.= Lo.:,lr.o " ao
0. ,Qat,7 _ i 1,
I :./
=.
I
L,L\
f
c
--
t':
.!
rrn-
*-i,-;od!=49
i
! -gt =. o ({. x,)- ; -
L'I
A= +
i
-x -2
''
-L)
A
:(-:)
=
-t(,r-i)
-@ .-4-Q---::lii-
btat- r-L t'i-fu'-.,_.__.r_ at ut
tt
/{
ll
K
!{,,
_vud,i\t-
tu1
Iu &.Lr.i'
t--,-tl
l<,
I
I ..
'.
'.
',
,, Ili.iliil . .1
: i .,i
i-.
-1
i
I
Is
t: l,qt
4( oo",bo'l',ri,an,\ =d-Ld
,:i:i *..:'^ tt--- -i nl
I
L
l
irialirotroo+,c.,,.;0.) -,,- /;,p-'
.- ;.s'--:ir6g.,;|-,,. ,5-:=-
--
-*, iti
-----l-
=[*r"
I I
i
J
.,: :
I ; :
't ,l
il I
(e[__]=rlii___________ :'-
-
r.-.-
D-
= \ I -i - :] -s--l- -- -ett,-)
,--i'
_ __ l
22;:\' 4;.) ,''
,I.i.1->3
I
,.)
-) .J
.-'I
.(
:
.
,,, . i'., --^ l' '1 -:.:-:l-
/^-
:
(-)
-
II -" .r-)-
1,, -3
,-l i -l.r I r.-:'..-l--l l--
tl -+
i
t- 'l-- - - r-
t
--J--'!-
I
l:,. :]'.-'l I
-,-- -= : l[-rta +3(,.r,i t.]:iai-rti*r-11
t.r
l: t'+ 1-(-,,) lr -,, -r,, lt
- -t':l I.." - .- tL I
1,, _.
f
)F
_.,:1)
_ (., ". I
i:
j;
.,.( -t..r-l :-:1
- | ,-t
a
r
|
t-l:,f
:3r
* i' "r:-
I
l
.-
ri I
::=.==-:=.'-:
-"
\
''r:4.L?t.-,r,---
i
,-l\
€,r
\_--
(.
;-
e--
-. ...
i I
:-"
-
f
t--1
l;'
1
l<
u-) t-- /-
S tirt
!)-z-a:-9:-65i --; -Ynt C4:,,4 .: r^D._- .t tt-a ,j. =. _-6 fr_ T_.2il.---:'..\t n'.-- --')' ' - '--J---
:zr8*
0,.,i1t ',7 -'.'
G:)
I ,L:
'"oa
r jic.t ajf L-iiED ]iLEc].. Rjcr\I,,.i*arrJEorNc
r:_'={ut-lQ4!_erci_NEflil.Lq
q,;;;aiil;"-" s;;;; r,, r c:iy ;,: ; *,f=:i,ni# ;ff ;H Hno"FF,iiJ.ni;.i
a.&r,,
04:00
i
.1,
j
:
I. -\ 12s KVA di-crrir-,....
il
'',t
trl ril
lit
d{*$h$ftri'i'ffi
',i
il ';il
i l;l .1
\
'l
r,r^ ..! f 3,:
PeiciI no. r*;nf,.
.-'i,?i..-L,I CItOICE
,:J
'
Examinarion 0B;00.
:i':il"' :'ff .;t, l;, ,;*i HlS#.: ffi Hffi*,iF:I,.Hffiffi :-,-iliijii :,, .,,,, }#ff., s:i * l" il:i "ff $ #l:ffi":i;I$Ii::i"i iL ":,:3il:
,r I
;
Li"u."u."
"
n
sheet Flr-o!.ided
-
,ffi {*$,ip
,,.+,5,'.u,vA,.iJ:.tlD.87.5orcirazij...sr.va
',I
,.:l
.';i,l I
i:t
it ':! il
1l
.iJ jl rl I ,t
i.
:;,
{ i i
t
i
i
:l
*it}$ffi1:i'ir*rti*:,';i#xi::'1$iiii,i,{::i,,;rr, ,,ii tl voo a69oi*ri: . D' S. j3gg airrper.ss, soso
amiJres resisro 1r)-' I5Para)rt:i.-';;It of i" .i,"',,,i;ii;.il:l.'i;:l1',.ff:Xrare conne*ec l.!. .rs-ol,,n""i' 1?.2 oirms R o.2z-;,;'
Three
jrr
g,I - ' v" ohms vrrrrlrr v 4'6:l , 'T\''^ -1. l'r" _alqernatr' a5e.$riverr r;:eed-t.oa. by shunE nuir.-o 1 e-,;:er.'ar-or"arll i3?",.r,"iI.i".i":i";n;?tr[n'jii';u ]l:_shu*r moror.s ;ll.:n,u.i;-;p;:;- i.l;5";3llijri"o""u.1."u..it,li 50 kw' l'he:'r' fJ.l..lt:ilreLItc.}'..f,ql.i,-;.':"i,..?l.AltadrliLioi-.i--,.i",-l*..1'ne:reilJno irr'1 i;;;;"''n:'' "oaiii"itus '':''}+J'i'oaJ
i
have -l l:'l'""r'i""i'J''".h=-'I
I
.,,,1.::"lr
Ji ;l'f*i::fj;'l1r"l:r':ni""':;':it:;;='-it
in sr-.rjes w.ir:h d r.., mlr i"J"..r".:':t;;:.-,i1n.i,,.:i, -5r).c:.trrrectecl
a5t L. jri
c.
@
)r
^
,-
I.-. ,ri "r,,p.."i' ;-, tsg o*p".*l
l i
-so ohnr - -" "'i-*XryRr foceor of -- thtr ""'' z:s'l.f![zfi-f t)
i
i
er,r
.Tor :
1.5, whac is l:he rnirr:. LI,I).) arnpaciry of th,: /r:\ o, .rmr)eres I6 . r s z an,pe ie'r: tt)tn ' {t,',sa|.riy -. ls_t l-!ii
crontir:rled on
i
,t=.19
-.,,,trurus
*,riJ".li lto. 4 =,i;i r_;I_I.l amp()rerl r r ln" L=\,4 actor.- :-e
i:r()Ller concluctoi.rf
i
r or
:;rlii il.l; j :' iJ :;l:5;:: crrcuit a.rl/.t,i|.
;:
D. eo.3r xitii.69 ,)..w
A 25 .hrn rt:sisic -;;j''fl
rcb'isLa:rc; c j r,\:L)i c /
l.'x"'il ;;'l';;ll:;i'
pagc 2
-"-\'lfJI1
i
,i l
l'( 'j
'
,'/
,i:-j I S:'iiIiLD ELqC,J'rir
,{
CA
r,
ENrc.rNff
Li cerrstrre Examlnar ion - O4:O0 p.m,
:jil" a,trl.
'.:.,ir:;!.1-!,_!rIilt{gEi[lt!]
]
Page
2
F
[-t cu]r- t''\' ; A generator rr,..euprrlee power Eo balance Load. ?tre flppli:, voltage is 230icrts, rhe 'J.rrr-r,L ie 18 o*p"r*u and rhe power. f ,(:ror 1s 051. Ivhac'i,"-itre-power?
8'
* i.3 [lJ
l,L-:,,
gl f :i
[x
poue=p-la't.go::^y"E..r u darn fronr a heighu ot L2.z.4s merers ;rr ihe raLe of r000 cubi"l-"Ef ,n*r"r" ';)a;r. i.s l.5,bO0 krr,, what f.*t.fru plf;:er-minuE."l'"ir"ilr"-""ii"ll of the
B.
r,J
;
'd'
A. Uot
9.
,
r4ii-;,';"--'*.^ ""c'. "f-iili.rr"y, gl ;:l
7o,"
ission, ener.gy is pr:ociuced wheln. A. chemical ccrr,por_rnd spIit, i'f.., ite conBtit,enf.B nuclear pa:.t:tclee ;.. "ornUinu \,r t.rucJ.ear parcicles sptir_ D. mr:l.ecul es combine
.L:r f
3:ooo *\ nragneEic cl.c,:-i.E., consigi," or slr.icon eteel or permeability irrd an air gap. r""g[[ t-r,u 10 cm. and E.he aj.r -Jh,u ';ap is 2 cm. Bot,h "i "i*"i-a;;-.-i" have 6urr-"rore secEion of 1.5 ,g. cm. A cui''ent of L/z an'rpere frows chr:ough. rrr" ri"Jings ro procruce 2351 rn-rxwel ls IJrrx. llr>w *urry ,-.,rrr1 i.e Cher:e in the coil? 6 A. ;l 120 tLlrns !/ e' 25oo' turne , B. 5co l-r,rrn.s ..- ',:' '" " D. 1250 Eurns "'-- "?': t' t
'ltie Lhret:-pi)"rse utrb.ll;rnced current.ir are , -t;r - ro cii (-30 )
-
-
'.-'i'a-:
.'i5 .:-,lr
--
"'4
-,,.-"
.
'; .ILt=g ..r\ n' t, l '-="';-.,. ::c = io cis 150 r-r' 'l'tt'.j = ' I::.ni t-Ire .nsr_J.r[:iv,l sequencc currer)E of phase a. ir-. 8-66 crs 30 . (i _5.77 (9 5 ".'7 cis (- sc 1 , .o, s.'ti ,..,\ ii 2-1 0 Kv r-rdrl,snr.i:,lsion Jine hae arr irnpedance of 50 cis 78 ohsrs and cr ca;>aciLive rear:Lance of 1200. ohm.g.'rc ci"rrr*lt, Ehe povrer of a i';;'n,',1"13 f 1:",:. ?:-,u.:i'-:i.':-d:v 'uuo''n tr'e-alnains end porn er is ,:ir:,.r monrh. rr .o,,t-."r1J."Ir;;i.;"il;"i :;";:::3';:I t.he cosL of the -Line 1osses for Lhr: one month period? .\. P565,000 C. p5.E millioir B. P12.2 mill.ion D. p2.2 million ifh;a arrf.]stcr nr>rrrirta.I r-:r.t ing s):ajf b€r uce.i i:i a 34.5 kv lrngrou:rdod
i;;.: l;Iiti.",
-)
s,)i]\
ern?
QJ'2't kv B. 42 kl
C. 22 kv 'D 35 kv A !,ower ctlstonler- draws power aL 2:]0 volts fr-u.nr it E.rangfornrer..j on.i 1,';oit:. c'-)rrenr- tr-arlsfornrers wlth r;rtio of ?-ao/5 a!-e use r_o rner.e): ';ht' elecLriCal u:;a{e. !,I}rar .is t}rrr rn,-r1t ipl ier- of the kw trr arrcl (lerr,arld meters?
i)l'
4o
3- 200
h
C.
1CC
Tf
on
I
A r;irrgle phase irrriuction rnotol- is raLe.i 5 hp, ./5t power facror 22 0 vol Le . l,Jhat. appl.'oxinraLe s i ze cif caqaci tor i.s necessary Lo :;i:.se 'Lhe power f actor io about 951;? (-". 2.5 KV/'-R KvAn : \ I3 KVAR (-!i I n. 3.5 i(vAR Cont inuec-l
on
i)aclrl
arrcl
. .
'
.,,. CI] ]
,1._,:
,J':':]NF'D ELT.:CTR.I:AI, TNGIIqEERING LJ CCTISLIT.E EX;Nr'NAL.iCN
'
.
i.*i.-:
i:L
"
o8:oo r:.nr.
- onloJ,.i,.r.
ru. jc is a verrz p')wcrtui o,ru,!rr,\r smal ^_^rr l comprqrenE A. diode /
of a (}".rrtJ' 'r l). int.ernet.
ti. t,riode
:-1. A D"C ammeCer
)ras
-j
an internal
0I0 x 10 ohnr eonneeLerl rlultiplier bf t.he rsset. up?l A. 80 1-
rS \7
pa3e
rlq
gNq_:!::R
roo
registance of
cornptrre:r
0
,g6 Ehe amnteL.er.
c,. Ei
.
'
whi'ch one?
.l ohm. A shunt. of whaE, ig Lhe
50 10
tt. l'h!.ee.inrpedanc::,_j1s,j10 and tO cihms are ..u wve uhe impedance r:f'";-;;ii;uil[.':.i:Tt u, connecEed. DeLermine uf,':"ll:lenc de]ra. t2-s, r. 10,iio;:;i;'"i;;= ;ir:l onm, S' lB:s,-J12..s, 8.ohme 2i7 tt-(l:1:' Fl uhms ;s. rv sisnal ,1_.5,rr,"*r.."o r.o rhe j;rt.jl:-J5
A. o}ecEron LE.:ranemlEi..-""=,F('.:l:.*"_:__--_ anrennEn. ay.rr"Jrr ransmlEter ,S) gender r-.u., .2"1. .h* followins ier nor one.of the ]::::.:ffrof classee of surse A " Transmissi<>n c.Lass B " Dierribueion .r"u" r$ ::;:H:.ili:"., ... '21 A 50 and l'0^microfarad capacit,c,rs are cr:n,ec.ed in ser:i,ee and 100 sjn (wt +30 i volr"!1u..--ro.ir".'Ehe equarlor: of Ehe ::H:."a 'l
-@-ilie
E.
"i" r.2G eln
(u,E+120
) i*,i*go"r,
(a .#""o-.-
i,. i.Ii
iil
l;li;3.,)
.
?7' f'r';o resistarice of 10 and 1t:r":r each respectively are <.:onnec.ed in paraJlel' rhe ux'o a-.-it u. connecced i.i series wrth 5-ohm ;;:';,I:ff;;,ii ;:;:,i""""'J'a ;;;;;;"u-ri",orr baccei, a-wi,aE are .1.. t.2A, tz.zit waEEg (S;t.ogA, 1j.1 wa6ra 3" 0.96 A, 11.ti2 rratt.c D. 1.5 A, 20.25 watEs ill At a cert:ai'n r-ccer[.ion i.n arr elec.ric I'fvA is 400 i,yA. A 1s nvA, is.i-iute eyaEem, Ehe avai].ab,e faul.t iil,.z. ir. irp"oance, \tye_We 3rcunded E.ransformer is inst;rt lea'rr.zi, uf,ui,ri,,Jri,r.,. Determine Ehe ,,,,i:.r;*T;i. i.ivA aE ,,"-o*.,o,.iiry siae or irre*i:-a,rsformer. Q' 90 PIv'B' E. 150 MVA , 't@ 240 MVlr 2li . f wo resistance oI 10 and 15 ,ohms each respr:ctivel.r 61a conrrecterJ in paral}e] , The two ar(: then connected in eerlee w r-h a S_ohrn .esisEa'ce- whaE is che eqr.riwuf""i-."Ji"IIi.., q
E. 12 ohme ihe pirase ]: tine^.yol:is,..
;: ;.";XI=
ilhSn:-l tiq. curre;rL of a ba"tance: 1?q.1. ch:-ee phase sy.BE.ern are-V-22d e j.n lwr+2rO i i"ha-i t10 sjn.(vrt-30 ) r-especrive-ly. wn,rr.-ip irr""'p".,u,. or rhe svbtreni? q.s7rs*irt-5' .S1 3300 warts (-ts1 : '.121; terO waEts
l:9:wa;L.e
!O
: I
I'ire :eeisEance of a ,,rire i"i rzg.48 r>hnrs .rt 100 C and ro0 *'ln,.,J r-reLerm) i-le the f ernperaIrrre coef f icient of c:opper ut ohms ,c. aro
B. 0.00615
D. 0.0356 Cont j rueC '<:n Page
-:;i'!.:;tt::tt l.it,L(."r.liJ(_,A1, )iN*INl.t[iRING Liccur:Lrre F]xarrirrat: - 0B:00 u.m. _ 04:00 p.rn. ir>rr .,,._!- :-:SirL _ =!$G I Nqqit I t lc
Page
4
r,",. A cerca:in shuntr mot.qr has an arrnature res:isLance of 0.05 ohms. Ic .l-:.'.rurs 5(j anperetr i1E, j na] vol Lage of 120 . Assr:me. cCher :r:-r'sc€l']rjne.rrs <>srsesaatt:erm rt. Deterrni^! ti" erre vL Jicprc horee power of the .;ofrrr -1
hP l'3. 8'Ii 7.1 hp
c. 6.8 iro . ,/il ;'; I: 7.8 h; ,1$
A coil cf a 50 chm regisL.ance and of 150 in parallel wich a 50 uf capaciEor'. WhaE, mh inrlucEance is coilneceed is t.l'-e power faelor of rlle clrcuit.. ? ' .ftr ]1. 80t a',Qt 70t 8.50t D. 60*
iL;
'A 230 kv transmission ]ine ie'L00 milee 10ng. The condur:tor is ;i'csjR of r-, r-r3, oo0 cM. The conductor-"i*riorizontarly arrangecl wi Lh 20 rE' bpacins. rhe z:esie;;;;;";;; iii."lu o.os6e ohm *nd itro smr i s c " o43s f E. l.rhaE is irre*ine;Jqi.:; ii-.n" line? .\. 9.69 + j 95.25 ohms s.69 ; j 77.19 ohma @ ts. 3.23 + j 95 .25 ohms D. 3.23 +, j 25.93 ohms :{1 'rl r:oil, ?f 50 ohm reeistance and of 150 mh inductance ig connect.ecr par.rllel rvich a 5o uf capacir:or. -ifr" -r" rce voltage ' rn (rv[+.i0 ) - tJhar is-.ltre of tire ]ine ..urrenE, ? is 100 ein -:1" (wr.,s2.s ".i".1i"" ) cl i.'sz-"ii r,;r_82 lk l.?1 (ilJ 1.25 sin (wLr.?S.S ) c,l ?":!
f,- l.3r
ern i...._?q
)
- A cieep we1 I pumps waLe,' ir:t-o an op€rrr reservoirs aE Ehe raEe of 1co ,;r1r*. 'l'lrc rv;rEer table ie 200 ft, berlow fhe ouepuE pipe. ?he whol e iiystem han an overaLr efficien.y ot-iot.---wrrar sha11 be the tnirrirlunr h1> of tlrc purnp? 4., 5.3 hp !* 12.4 hp E B.7hp ,@r.2hp' ]2. I'irr:ie equar posi:ive cl:arges of 1o sr-accoul-ornb-each are loc;iEed ac rhe ve::tices of an equilaierar crrangi"-oi-z .* r.g. I.Ihar is the ir:,:t3:tllrrcle of Lhe force acring on each charqe? l-:. 12.5 clynes 43.: dyies &. B. 25 ciynes -D. 50 oynls i ) P lt::zo elecrricicy pr:ncipre ie a4p1i9a in. one of the tollowing: ri.. llir rasound equipmenf uicrophonee @ 'i'herriromet , D - :tV seis Ii ,. er ))-
;'l . i i.cecl of 2a + j i5 ohrns is connecLeci a.cr<>ss a 220 voLt.s ,olrrce. i).l L.;r-nlirte tlte power f cct.or arrcl clte vars . . t , 1a42 vars c. 52 .2* , 102 3 vars C) ! lJ.. 1: U5 . J I , 975 .yars D. 42 .3t, l0B? vars
5 A cerrain laminat,ed sLctel;core haa a permeability of 3000. The lenc;tl'r is 5 cm an,l L.he cr-ot;e section is 2 eq. cm. l.Ihat -.-s irs :
-1
::r:
i
r-rc
t.lrtc
e?
A. i ir00 (/it\ v.' , ir.33 y. lo c. 1200 " D. 2.5
': 'i ,t
I
'.1''
\.
\r
:: gt!',
\'
16. Tlre subscation br.r:: bar ie made up of 2-inches round coppe:: bar-s l-'t.. 1ong. What is Lhe resieEance oI each b.rr if reeietivi.ty is -5 , ,.' I.:f \r'i!l; 1.7.24 x 10 ohrn -r_-ms. i ) It'r r '-^ 1-'.'.J -)(' A. 5 : .r " 7.21 x 10 ohrng
20
l
,
i
Cont i nrred ,:rl I "(, l, :I
f\.
a.;
r:T'GI STERED EI.ECTRTCAL
.i, (
.vicnoiay, March
30,
Erxc rr!f$!._ENGr t.:
T.;
i'i rl
i.
-'
-
. Liccrnsure Examination 0E:00 a.n- - Oc.::00 o.m-'
Page
5
-5
-. 3.8 x 1O -sohrns (c) 5.i.ii) x 10 oi)ms D. -5 2 - 95 x 10 ohrns 3'7. A'-generator is r:at.ed r.oo Mr{, r3-g kv and 90t power facE.or. The effeccive reelstanc" to or,rnic rearsE,a""" i, r.s T.he <>hnrrc resiscanctl is obtal'ecl bv connecclng .wo t,erlnrnale co a d-c. slcurce.The curreht. C voltage are 0U le .rnp.ra, and 6 volte reEpecEivelv. erhaE is the effecEive ;";il;;;"e per phase? .-6) 0.0513 ohm c'.o'3'!2 ohm ,E; o.oc85 ohm D. O. O,,; 7 0hm Jtr. A cerEaln capaciE.or is charged at 48 vol.- rfter which iCs sEored -2 energy in 5.75 :x L0 jolrIes. What, is t,he r r; ecit.ance of E,he capaci E.or? .i A. 2 farads 30 microfarads El . 5O mi crof a r.ac_ls 50 mlcrofareds lr9: A 13" 8 kv/48o v, l0 MVA tlrree plrase transformer h rs 5t irnpedancr=. Wirat io che inrf,eclarrcr: in. olrms ieferred Lo rhe primary? "'i """f
)l
ENGINEERING
NE E R r NO
n.
r;
1i
1998
I
P
-l:';:il*m"
l:i;'ixf;
40: A 50 H-o three phase mofor, raEed Z2O V, 75\ pot e has G p.cles. The' slip aE f ull toad is 3t. ili,.i - is flre facE.or freguency of rhe rox)r currcnE, aE ful] load? 61 1.8 I{z C. 5.4 Hz . i B. 6O Hz D. 58.2 .:1
il
maana>^+^Fir..> !v.r,vv-
i g
F^--^ ivi i..,C
j^ i:;
j-.r
--,-._! lfi
^z
t_
rhroieh 1oo-rur's. rhe 3l'::i*"o." of i000 permeabilic,y,. 10 *.r,il[ii=IrII"ir'I;;:l;r:'"?": . to.,g ana-+-sq-Jm: areai and an air gap one cm 1o'9. Wl:at isr the"il, f ielcl ;,_ruerrelt] ac Une ;i, ;;p;-l\. 12.250 oersE,ed . ! 100.53 oereE.ed B. q97 .66 oersE.ed @ tza, . s. aei"a;42. 'fhe illumlnation of .r roorn ie being vvsrr"es' 'J designed ThedaE,a are as l:ollorvs. Room wi.clth= 20 fc . _lengEh= 30 f L. coef f ic:ient of trLiLizaE.i,on=0.6 MainE.enance f actor=70t Recluired foot -candles= 50 Lurnens per iimp = 3300. Itoom
i{arts per ).amp Power f ;lct or
! =.
rllraC ts fl're f-otilI r equrrern?nc ?
h. 2I amperes ts. 15 amperr.:s
i3
53 Vc.Irage,
I S./,
c,.lr-r.€.Iil
=
22A
the
O'I
,
amper-esr
D, 25 amperes
In fhe.li.st beLohr, which orre is not a type of present ciay nucLear Bo;i. Iing wat.er r€c']Cror C - Fus j-on- f iss j.on reactoiA Lolv preasrrl-e r.eacEor D. Fast breeder reactor LBI
power plant?
I
Con[.
lnrreC on Paoc
-sl'EItED BLiic'fRIer.L .:ilir),,
IIJC Liccrl$ur.e Examiuar-i.n 30, .l.ggg : 0S:00 a.m. _ 04: OO p;m,
l4.rrch.
-,f
ENcrNlir.'r?
Page
6
iLE_!:}.?_t_gA,r_E{p_LuEts_I]\lg I
. f'he scquence. ccnlponenE,s of phase a currenE ar:e: ':erO SuX'lLu.:tlC€ r.:rtllfetlL - 0.4? + :t..49 J posiU.ive uecJuertc<: current = 18,a cis (_31.8 negaLive sequence current = 3.23 cis 16g,2 ) DeEermine the plrase c currellE A. L7.5 cis 91 @ 22.5 cle 82 B. 18 cis 215 I. 15 cis 1oo Ir a short, circuiL sE,udy, El-r.e posit+r", ,negaEive and zero seguence -inrperiance are 0.25_p-u" 0.zs'per and'o.r p]" ieapecrivery, ih; base MVA is r.00. Dlrermine cire fault currie,rL foi a three phase faul.c. at. Lhe 115 kv Level . C- 2500 amperes A 3o0o arnperer: .Q/ 2000 anrperer] D. 3500 amleree ri5 Three impeclance eaeh 1o +. j 5 ohms connect.ed delca on a barance three phase source-. rt Eha eguaEionare phaee-volrage ii, vin=iio of sin wE. }that is t,he equaE.ion of t.he curienL Ehroug6 E,he impedance connecEed across phase A and B? c. 16.2r sin (wE, + s6. s6 ) A:r ?9.9? "." !*r -22 ) 'l
1
i
i.' i' t,
.l
'i?.
four-grole d-c- generaEor wich lap winding has 48 sroE.s and elemenrs per sLoE. fiou marry coils does ie 6ave?
A-
A- 48
c.
n..r,rr
.i
I
I
4
L92
@,o
t. A 50 MVA, J3 kv,/11 kv. Llrrr:e phaae, wyr:- ck:ILa, connecE.ecl t-r-rnstorincr lias -;.r 3t -irnpeclance. whaE f s tlle p"r impeOance at 1C0. t'wA base anrl 34.5 kw bage? ""rii -4f 1.53er c. s.74* D. 5.s6 r @J 5.4e4 i-. ):,;:: 2r? 7.',/ rranglitssron line has an impedance of 5 cis 7B :l--ns. ?he sendjng end power is 100'tiw ar 230 kV and B5t povrer' f.lccor'. I.lhaE i"-q Ehe voltage at fhe oLher end? ,ir. 225.4 kV c. 223.? kV il. 226.3 kV @, zzs.2 kv
j.0.- 'l'hree resisEors of 10,L5 and 20-clrm each are connected in paralle!.. 'ripqr- is the'E,oCal conductance? (,y) 0.217 mhor C. 4.6? mhor B. 3.41 n&or ' D. 0,52 mhor
:
i
**ENDr** :;:li]]4rT ;rtrc tast QUESTIoT{ sET ToGETHER 9IITH THE ANST,IER SI{EEI TO ".:'riil IIATCIIERS. BRII{GING THE TI]ST QUESI'TON SE'l oUT OF TI{E RooM ..:i-L Il[] A (litOUND i.'OR DISCIPI.INARY ACTION'"t'' '.
''i''r)
. ,: - . -ft i.-.;1, 'r"i','-1) t..:-
|.-\.---
r \-j),'
."
l:
_'
t! al-
?-'
'!
"
"r
'"
<'
"'v'I-
/tr,,,_ =
:J
:)?i. :___- v l4i6_li($1r)--_
w *r-p-,. l7ru
-
-);#z
* aN *t.,.r\vl--=-_==:
-..t..:b
L; +,Hr4
=-
aN 5o
-E t-i
l, e,
Ai
-l*-tr"4-r = -,rru
xw-J
l\W
/y-"t! - ,l-o4.r! *.!,ut yg--.
t%$t -? L'., Son,y, b,,fiT*=, i:, O,ilsnn:
: :LL )[=.t l- . LL [a p_:t) Lr--=-i9-21-*g-:--a tu ..5-Lx tt _
,
slaao (r; s
lLs'ul
L) 't.
I
r,.
t4o
{,1 ,
,lI
=
.l ln.tt-fgg'.2 1 irrJJ , .5u
, -v-
) 7 .KLt ^
,Qn =o,t
?--
'ln Rn = Ltl Rc{
In t,,t Iy
.L-l---
'
---.-
Inl
D, -.--.
._::
l+a,bolcl __--" 6"
Yto
----Io-u-- -G';
/0
I
-
t In, k! = .I; t:t;f rnlp^ L&:IJ - :ly,.l?_rt Rm.
Jtt
-- ::_l:
Jyn
-
:-
.
(R^ o*t ..---------i:-
.)
--:::
t-'(")
(,4)
/l
-\.
Url . Z)a. = lC -!L 9?rt1",l
'
.-
-
, -...
:,i #;W}= lojtu' lo-%_:.JLt:
^,U,Yh-ei4)tW
z-i
I
-7r:
lor.tJ
3
-ln-*--
b,
rp--
6c
P" "=-.ir
t'-\'r\
i P, f
{g?,,f
)-(r:,qs),_:.
r/t,,r-ulfi W,rXJ-_e:g /rp _-_Qr_ _,,_ _
q[^)(*D--=.1{,L'fr-'
Cr, lul D
=-){
/*--t'-*1'/r^
-
of
L,
_.-- ._-
- l,>r
].LZ . _,_
-__l_
r"g1nL*
*14
-
6)
_____.\__-1__
/c*l -
'*
,:,
.l
.^^J
- -- .
.'':,
-
, j:
-]-
I,:
,i," -
*!/*
{l+= i,(t
=!c,.b
0o.* Vob
lo
(lO
ffi =_
*.s = ii _t
"&Aj_b
)t
aD_
frD* *_gi_uj)_
lt
V,.b 4,7c,.
= -Vq" 3 *;\?ogLt(Afuztr:)
._
-)
itii,,t
/'' l'l
W
I
y.d' =gg -l{- = g)-- o,r=4'?'rtt. ;Ef= o,-{a--t'-'-=-91 l'ro- ----ra-=.{.
-If = 9: (:tt (;,,79;.0,(.e r *!)
6,
- 6o:
Po
f (g,/:t)%,q5j_
P'=--.l.d]l},rr-U8}bWyJ--}'t3-{u7--*QD-._*-..ii ----.1
=JD/r 56.Cf
-Y, t:=-ae .t-'4-{75er;-a
^l.}
@-- ';-$;
+*-ff
-]h W x.2x&-L44*a*3o73s MR c4
o-
o'
1, 'I
-qi'
.-\
r7: \ rrl/ ,t/
3
--a-T{q-Mffi)ffiil#i,lh jE#) ,
\."''.-/
''
/-r-\
-l-.-:- lB)-
ic
/)$
::r,'r':' j
A
&o = i.E lo,obp{1
fut; P.-
-il
A t'l
{Gd
--=- t, &
l/2 =G-)
-l-
{O sh-tl 0i'ff
:
,
P= -T
lrD y p$
Vcy+.=.
V".b
=-
Vr,tf lf L :_ ,,tyt:-V2:y
:-/
=
Egn,= bf n:-
/tl
I
S,(P',t
ori
-G)
*_-:.4n. _-_.,* ) r,
=
:iJ i1 I
'' , tf
ti :. "-. ':
i(
_--t '-. ,..i =i
@.:;
n
-
i6,ri
--, :.
.
,
I
Ii, t)
L
(.rr + r)Crr +
r)
=
'j
f1 * I I
rI
fi-e
-*h-"1s
l!. ..
-"-.-
.-.. lt.-
--'l
.!fn-::*
I
I
t--I
i.-r:-.c.: ,^Fi'i"'1;
/
' t'llr
")
( I
,O-* U,
?2
*i;'s )i- = G I;iP:-= -sy I *d :lu
ru::?-
't
..,L'ti-*,
,t _-'-:+ "i --:- +.-
!*
t-,"dt-"-f
"U--
t.Wi- --*---:- - -- , - ---.
t-,,- ,^ I-".. -'-i+-
,@ @ ,^,,=.LX.-Xt--;
-jll
.
='-[-
)r
,lA= 0l ,-U,)dx
I
I JJ
-s.*dtl-'"'
',...;i': '1,t,,, '',,,.'(-"llllCn t,
.- _::r;J./, '.;. , .-..1:,.,i I
l':tt(i.l
NltDRlllc Licenaure ExarnlnaLiolr
og:oo a.m. _ o4:00 p.m.
lL:
paqe
2
S,AT A
,,.--a*.,1r.,,,
are a!'rangecl on horizonral x,y-axecr as folloup: Lr'.rtl li.:, X-coordinaEe . Y-coordinaEe Kilowatr.s l.oad f 2 t,c.. 0 (. 100 ?. ].'lr. rI \(. 180 rt . I 3 {r,u 200 ,2 , 4 0,: 12O ' 5 2 -.:. 4.t'> 150. ' 6 3 ,.;,:. 1..,-.zOO j .3 .. r.. 3 ot .-: lg0 I 2r,:,f.) 100 r .r4:; 'che t li''> DeEer-nrine tire coordinaE.ee 'of cencer of iltect" y - 2.049 C- x - 2.153, y = 2.195 6) -ts. "x = 2,,000,. D. x - 2.]-46, y - 1.902 ' ].{] 54, y c 2.2l.li. Solve for Lhe general solucion of r.he differenr.ial eguaEion: (o + 100)/ = 0 .l.oadc
wl:cre D Is Lhe dlfferenEial operaE.or d/dx llhen x - 0.L, dptermlne y in Eerma of Ehb conaEanEs of inEegraLion. A. 0.841 C1 +'0.594 C2 C. 0.8411 Cl + 0.540 C2 B C.925 C1 + 0.594 C2 D, 0.925 Cl + 0.540 C2
. .ll,] i;r...'3;l.irt Irirlnrllo ]rae o l0 cnt baoo.rnct s lO cm a]Elr,[tcla. l,rr.',!:r,i:;iinc Llre rn..,rrtcnt of lnerfla of ftre Lrlangular area relat, lve to o I rn,: piral]e1 Eo be base an'd t!,pough che upper verE.ex, in cmo4. A. f , 750 s/ Z, SOO ir. i.0?5 (!7 .2,273 . A :rt.rr:k of brit:ks lrlr.r 6I bricke aL E.lre buEEom 1.eiyer, 58 bricktr in t:irrr 2nci layer, 55 hricke in Ehe 3rd layer. and Bo on, unLil the J.r.rL l.r!ef wlriclr lr.r:r 1O bricks. DeEcrmilre L.he total nurrdrer of bricks uaed uo.
9:ti
c. 535 D. 64?.'
:i. Determine Ehe sirnnlif-ied fcrm of COLB
Li
siLr2B/ (1 - cog2B)
C, E.anB D. elnB
l.l(.Lurnrine Llrt] tlUl't oI t]tt, poa1E,lve-valuod eoluLlone l-o Lht: .simultaneouB equaEions ;
Or) E.
xY =
15
yz-35
13
!.'o:: a hi gh -'ro1 t age ror ref a r- i oli :
v(rc
c. D.
zx=21 77 19
Iong tr.ansrnission line, we h.rve Ehe per-pttase: Ee = Agr+Bfr
If Flr . L2't,000 volts aE O derlree, Ir = L00 amperea aE -30 degreee j\ = b.90 ar 0 degree, and B = 100 aL 9C degrees, det:ermine the rr,roni;ude of thr: srending-end voltlge Es. 119,614 volte A. 1,:1,5?li volt.rr O 5. 111.633 volts 3. 125,595 volLr; fcnt
1
nu.
d on
Page
''
"'
l r ;.;l':ii
r
.1
ulJ IiLE*TR I ci\L
'r1..i;ry,,
.Examina t _ 0B;00- Llc*nauro a.m. - 0{ r 00 p.m. ion
ENGTIIEER.TNC
page
:ic,l{La'r,{gg
SET A
rhe polynomial .*3 * nri? .{f, '11 il,Airrii ne the r,,=,nai.n..lor, .
t.
.
c.
rJividect by
x "
5,
42
D.210
:j._,11-c f or
x in t:he equ.-lLion: + arcEan(x-r) -1} 'Ii ,.r;t"tut(>r+1) c
i ;;
,'.
B ia
3ry\+
2rB G) j,. .i5
,
arctan(r2)
1.20 D,, 1.25
i..rr :.soceles rr.-iangle r'.,r..j,,!,>lc .lquiri r,,f,i..nwich
equal sj.dee of 20 cm has E hese sidos a t: baae. Decermine Ehe rnaximum ,::rL.:inaLrle by r:he arl""giu. "i.n-Ir-r" area 250 sqcio .& c" 180 sqcm (9 zoo oqcm D. 300 aqcm ';'l:': 'r'r.,rr of cy/o oquarcs dlri:r^.u-t 7 . tE, and Eheir pe.imec.ers riri sr-ru or-sq "',$"iu:fon"{'i. inJrr areas c' 29.00 sq f u B. ??. ca scr f r D. 22.0o
il;;;;i"'
.
:,.
(j;l
ven che
eg f c
ci,:yigaiq,tt;,.:
fo-l,
l.ow:ing staE istical
lr.
-';.-
_. /.
titJill.;"
1sE 164
frl ;;:ll t/stin(13A)
;
- JJiiuu"
O .'.'.
s3
,.;rr,,,..n
tlre line
l;,l,ilill!:9": ,].,
E.
_-l
.73 3.
i;!;
:
1..,
l'44
'b ,.. ij'
daE.a, deEermine Ehe stan
t76 ' 'ir.
rletermine angle 'A
c' I
desrees D. 7 degrees
I
'i
ti':;L ii;rs a wcigltE eguar
in desreea
"f"f'on,
.iZ
'
shourci clie resE BCore, ao --har u,haE.
@ ;;
:. r;i,/et'r f he fol_1ow.ir:g series;
1l.sc
J5
sin-r-x-x,t3!+x/5! (:CBXnl
- x i2t
4
+
x /at
x 1
afx
;;iiai
r,-.
j-1.
x
+ x /)l
-
3
+ x /3!
+
larion can you draw from lirese rhree ser.ies cos x r sin x
t-\
= r COs] :( + AIn '
u,-):r
'ts-t'
Lr: ./x + 5(. -. 35 * g . Determine Ehe Iine I! rr,uuu, iicL,i,,o :lu.;",1,;;:.j*:f:r';:;
uo-3 peri"ai. -ii""r 'rqudr:ilE gcrive fo:r j rninimum lintugi.il r..iao. i,.:- ljrtf rJ .r 1:cssing minimurn avera{Je of BO ? ;\. 00 C. Bj r''' 81 ;
..
A
I
1 l;irt
X ;i
I', rtl-.1.) )..!l r:it
?
cr,,,
&f*.ffi.,q,4:--
ll
.
. .,,. ::.J.T;FI:i) ELECTRICAL
.- :.r,.
:
-"1't
Li ceneure ExaminaE 1q4 P.rn.
ENGTNEI.:RINB
'Page
- 00:00 a.m, - 0{:00
:irdiry,
s!:T }l
t i'i-\]' I CS
l).
4
ra].nx ir arrrt B are indeP'endenC evenEa. I'he probabiliEy Ehat evenE A will ci:,'iir is p(a), and trhe probabi).iE]' Ehats A and B t+i1l occur is. piAs). From Ehese cwo stratemerltra, whae is Ehe probability. t,haE .:\'f::IE E r,lilf occuf ? c. p.(A) p (&e) e. p(A) - p(AE) ir. u(B) - p(AB) @ p (AB) /P (r) ,i ;;.i:-, -,he uniE vector at 12o deg angle, deteunine the 'uect,or sun icosx+
1e
2!
.l
1- a+a) i-.. i.'733 aL -3rl deg anEle i1. ? ,000 at 60 deg angle
in oolar f >rm deg angle @'z.ooo ai -50deg angle D. L,732 aE, 50
t:rain i:i trcvell ing .rE a rpeed of 100 km per hr. The locomoEive l:a: uracEion sreel wheels of 1,2 megers ciiBmecer on level eueel 1a:1:;. Decernrine t,he maximLlm recEiiiner speed of a poinE on Ehe i:i.rcurn!ererrce of che tracE.ion r*heel .4" 3,313 m per: minuEe C. 3, O0O t-n Per minuEe Li. 4, coo m pe:.. minuEe @ t,667 il per minuEe I I,. )i71,r,rl:ola has Ehe equation: xY - I ijr:r r,:lr:ri:re t-lrc ecluaEion of fhie l'ryperbola if trhe x,y-dxeli are ror'iI e,: 4 5 Cegrees clockwiee. (ct r.oox,+ 1.00y "' 1 r\...:r5x - a"25y - 1 D. O.50x'- o.50Y * 1 ir. 2.,.)i)x - 2.00y - I Eo Lhe coneE.ralnc A r r.i;r;rgle lras rrariable 'sides x, !, - z surbjecE. :hilr Lhe perimet:er P ie fixed Lc 18 cm. gthau is che maximum r:.r':.siblrl area for the Eriangle ? C. 14 . 03 sqcrn i''. i5.59 sqcm D. 17.15 eqcm li. 1& . 71 sqcm ,.,i circir: is ciri:umscribed abouc a criangle r*iuh verticeg aE (-.).,11 , (5,2) , ancl (6, -1) . DeEermine Ehe;eguaE.ion of the circle. 2 A. 2 x + y -2;< + 2Y *'23 + O .rt
It.
*l(
t"1
x
ry
r..2-x+2Y+23=0
+y
-2x +
2y
rl?x-2y
23-0 2i=A
I...;r.[:r .rr'r.: tii])l]r:d .rIc>trg a oingle-i haae primary diaEribulion ' '.-. t q;.i lowr.t : L):.:r;arrce 't::om ll.::i\.li rr.1 end
I.0
r,rr.l rlL . rrrri L7 i1r.:i,'ei: t'ac-[or
20
1r
ktn
kl^l
2.5 1i)
km
khl
4
.0
15
krn
kW
6.0 10
]ine ae
)cm
kt^l
t-he erlrriv;rlcrrL lengE): oI lilte, wiL!.r a Load ac Lhe errd of I give fhe vame t-ocal nrontcenLe Lllu LoLr-rl -ch" lO;rrJ, that 1rrte' "vil rvilir an impedance of (0 + j 10) eq.,ivalenE U;i;E nrrrl i'-nr, d*r.e!'mine rie- ne''tli"'1-r.'nrl vo'l t";ri1r:..Vrr if .,t)t?..],iIrt't !t iu 4O0r) '/',)t'-t' rl . 4,625 volrs I: 1 ,?22 vol r-ll jgc
l;
I
