258072203-8-Inductancia-II.docx

UNIVERSIDAD MAYOR DE SAN ANDRES FACULTAD ACULTAD DE INGENIER INGE NIERIA IA CURSO BASICO

LABORATORIO DE FISICA BASICA III

INFORME 8 INDUCTANCIA II

ESTUDIANTE: MONTAÑO SAAVEDRA MAURICIO DANIEL CARRERA: ING. QUIMICA GRUPO: B DOCENTE: ING. MAMANI FECHA DE PRACTICA: 5 NOVIEMBRE FECHA DE ENTREGA: 12 NOVIEMBRE

INDUCTANCIA II OBJETIVO -

Ver!"#r e$ "%&'%r(#&e)(% *e$ +%$(#,e -%re e$ re--(%r e) /) "r"/(% RL -ere e0"(#*% '%r /) +%$(#,e "%)-(#)(e. C%&'r%#r $# re$#") *e $# "%)-(#)(e *e (e&'% "%) $# )*/"(#)"#  "%) $# re--(e)"#.

FUNDAMENTO TEÓRICO E) /) "r"/(% RL -ere e) "%rre)(e #$(er)#3 #$(er)#3 -e (e)e /)# re--(e)"#  /)# %)# e) -ere. L# "%rre)(e e) #&%- e$e&e)(%- e- $# &-&#.

L# (e)-) e) $# %)# e-(4 e) #-e "%) $# "%rre)(e 6"%rre)(e #$(er)#7 /e '#-# '%r e$$# 6(e)e) -/- +#$%re- &40&%- -&/$(4)e#&e)(e7. Per% e$ +%$(#,e e) $# %)# %)# e-(4  e-(4 #*e$#)(#*% # $# "%rre)(e "%rre)(e /e  /e '#-# '%r e$$# e) 9; 6$# (e)-) (e)e -/ +#$%r &40&% #)(e- /e $# "%rre)(e7

E$ +#$%r *e $# /e)(e *e +%$(#,e /e +%$(#,e  /e #$&e)(# e-(e "r"/(% e-(# *#*% '%r $#-
= V%$(#,e 6&#<)(/*7 VS > 6VR 2 ? VL271@2 = A) @ > Ar"(#)< 6V$@VR7. 6V$@VR7. E-(%- +#$%re- -e e0're-#) e) %r&# *e &#<)(/*  4)
E,e&'$%:  @ /e -<)!"# /e (e)e &#<)(/* *e   4)
P#r# %(e)er $# &#<)(/* *e  *e *+*e) $%- +#$%re- *e V- e I P#r# %(e)er e$ @ *e  -e re-(# e$ 4)
TRATAMIENTO DE DATOS Y CÁLCULOS Vr en función de !ie"#$ % Medi&n!e un &n'i(i( de re)re(ión de & !&*& + de & ,$& de d&!$(. de!er"in&r / di*u&r & re&ción e0#eri"en!& VR*1f2!34 c$"#&r&r &( c$n(!&n!e( de & re)re(ión c$n $( 5&$re( e(#er&d$(. !$"&r en cuen!& R$ / RL

(6/-7

(6-7   8 15  

 3 38 315 3 3

VR6V7 VRJ6V7 388 9352 239K 3K 3 53 =238 235K =38 35K =3K 

De $# re
−

VRb 4,036 e =

VR*1f2!3 1 9 8  K VR* 2V3 5   2 1  

$# $#















Tie"#$ 2(3

H#$$#)*% e$ +#$%r (e%r"%: R  y = a e →VRb =V  e  Ro + RL + R bx

E)(%)"e- aTEO 5,16 bTEO =

−t  τ 

 #*e&4-

L τ =  Ro + RL+ R

8105,8

=−

C%&'#r#)*% $%- +#$%re- (e%r"%-  e0'er&e)(#$e-: P#r# $# "%)-(#)(e # *e $# re
exp −Teo

Teo

× 100 =

4,036 −5,16 × 100 =−21,78 5,16

P#r# $# "%)-(#)(e  *e $# re
exp −Teo

Teo

× 100 =

−8583,8 −(− −(−8105,8 ) × 100 =5,9 −8105,8





+4 C$"*in&nd$ &( !&*&( % / +. e&*$r&r un& !&*& VR*-VR( VR*-VR( /. "edi&n!e un &n'i(i( de re)re(ión. de!er"in&r & re&ción e0#eri"en!& VR(1f2VR*34 C$"#&r&r &( c$n(!&n!e( de & re)re(ión c$n $( 5&$re( e(#er&d$( (6/-7

(6-7   8 15  

VR6V7 VRJ6V7 VR-6V7 VR-J6V7 388 9352 =39K  239K 3K =232 232 3 53 =32 32 =238 235K 238 3 =38 35K 38 93 =3K  3K 93K

 3 38 315 3 3

VR(1f2VR*3 12 1 8

VR( 2V3

607 > = .990 ? 9.K2 $# $# L)e#r 6$#7

K  2  

1

2





5

K



8

9

1

VR* 2V3

E$ +#$%r (er"% +e)e *#*% 
R −VRb  Ro + RL + R

S #$$#&%- $# e"/#") (er"# (e)e&%-: VRs= 5,12− VRb

C%&'#r#)*% $#- "%)-(#)(e- #  *e $# re#?0

P#r# $# "%)-(#)(e # *e $# re
exp −Teo

Teo

× 100 =

9,6−5,12 × 100=−87,5 5,12

P#r# $# "%)-(#)(e  *e $# re
exp −Teo

Teo

× 100 =

0,993−1 × 100=−0,7 1

64 Ree"#&7&nd$ & re&ción $*!enid& en e #un!$ % en & re&ción $*!enid& en e #un!$ &n!eri$r. &n!eri$r. $*!ener & re&ción e0#eri"en!& VR(1f2!3 / e(cri*ir& en & f$r"& VR(1&8*e9c!. di*u&r e(!& re&ción  un!$ c$n $( #un!$( e0#eri"en!&e( / c$"#&r&r c$"#&r&r &( c$n(!&n!e( &. * / c c$n $( 5&$re( e(#er&d$(4 (6/-7

(6-7

VR-6V7 VR-J6V7  =39K  3 =232 232 2 38 =32 32 315 238 3 2 3 38 93 3 3K 93K

 2 8 152  

VR(1f2!3 12 1 8

VR( 2V3

L#

K  2  













Tie"#$ 2(3

L# re
VRs= 4,96− 4,96 e







 Te%r"#&e)(e:  Te%r"#&e)(e: − t 

R R −8105,8 t  VRs=V  −V   e τ  =5,12−5,12 e  Ro + RL + R  Ro + RL + R

C%&'#r#)*% $%- +#$%re- (e%r"%-  e0'er&e)(#$e-: P#r# $# "%)-(#)(e # *e $# re
=

exp Teo −

Teo

× 100

=

4,96 5,16 × 100 5,16 −

3,87

=−

P#r# $# "%)-(#)(e  *e $# re
exp −Teo

Teo

× 100 =

−8583,8 −(− −(−8105,8 ) × 100 =5,9 −8105,8

Re&ci$n en!re T / L :4 En *&(e & & !&*& 6. e&*$r&r un& !&*& L-Te0#4 Medi&n!e un &n'i(i( de re)re(ión. de!er"in&r / di*u&r & re&ción Te0#1f2L34c$"#&r&r Te0#1f2L34c$"#&r&r & c$n(!&n!e de & re)re(ión c$n e 5&$r e(#er&d$ 2!$"&r c$"$ RL e #r$"edi$ de & re(i(!enci& de $( induc!$re(3 L6&H7

L 6H7 RL6%&7 T#/ 6/-7 T#/ 6-7 K8 3K8 132 12 312  5K 35K 23 1 31   3 25 88 38 8 9 39 223K 2 3 2  3 23K K 3K 2 32 1832 52 35 2

T&u1f2L3  

607 > 0

 

T&u 2(3

$# $# L)e#r 6$#7

    .2

.

.

.5

.K

.

.8

L 2;3

D%)*e RL 'r%&e*% >2326%&7 E)(%)"e- e$ +#$%r (e%r"% *e $# 'e)*e)(e e-: 1 τ =  L = 0,00184 L  Ro + RLprom  RLprom + R

C%&'#r#)*% #&#- 'e)*e)(e-:  Dif  =

exp −Teo

Teo

× 100 =

0,0018−0,00184 × 100 =−2,17 0,00184

Re&ci$n en!re T / RT <4 En *&(e & & !&*& :. e&*$r&r un& !&*& %=RT-Te0#4 Medi&n!e un &n'i(i( de re)re(ión. de!er"in&r / di*u&r & re&ci$n Te0#1f2%=RT34 Te0#1f2%=RT34 C$"#&r&r & c$n(!&n!e de & re)re(ión c$n e 5&$r e(#er&d$4 R6%&7

R6%&7 R(%(#$ 1@R(%(#$ T#/ 6/-7 T#/ 6-7 6%&7 3  55132 3181 12 312 22  3K8 K8 K132 311 88 38 2 8 391 91 99132 318 K8 3K

132

12

138

18

232

22

88 128132 38 52 188132 351 58 228132 38 

52 K 28

8 35 2 3 K 32 8

T&u1f2%=R!$!&3  

607 > .0

 

$# $# L)e#r 6$#7

T&u 2(3     



















%=R!$!&

D%)*e L>3K8H E)(%)"e- e$ +#$%r (e%r"% *e $# 'e)*e)(e e-: 1 1 τ = L=0,068  Rtotal  Rtotal

C%&'#r#)*% #&#- 'e)*e)(e-:  Dif  =

exp −Teo

Teo

× 100 =

0,0676−0,068 × 100=−0,58 0,068

CUESTIONARIO % >Có"$ #$dr?& de!er"in&r(e direc!&"en!e & re&ción e0#eri"en!& VR(1f2!3@

=L# re$#") e0'er&e)(#$ VR->6(7 '/e*e *e(er&)#r-e *re"(#&e)(e "%) /) #)4$-- *e re
 + >Có"$ c&"*i&ri& & c$n(!&n!e de !ie"#$ (i (e di("inu/er& & frecuenci& de & $nd& cu&dr&d&@ >Có"$ $ ,&r?& (i (e &u"en!&r& e 5&$r de V@ e0#ic&r =L# "%)-(#)(e *e (e&'% T#/ )% "#&#r# -/ +#$%r3 # /e e-(# -%$% *e'e)*e *e $# )*/"(#)"# L  *e $# re--(e)"# (%(#$ R3 )% *e $# re"/e)"# ) *e$ +%$(#,e. E-(%- -%$% )/r#) e) e$ (e&'% *e "#r<#  *e-"#r<# e) e$ "#-% *e $# re"/e)"#  e) $#
 6 >Cu' (eri& e 5$!&e ($*re un induc!$r (i & c$rrien!e  ue circu& #$r e fuer& c$n(!&n!e / (u re(i(!enci& ó,"ic& fuer& de(#reci&*e@ e0#ic&r =S -/ re--(e)"# &"# /er# *e-'re"#$e #r# /) -%re +%$(#,e -%re e$ )*/"(%r3 #*e&4- - $# "%rre)(e /e "r"/$# -%re e$ )*/"(%r /er# "%)-(#)(e 6"%)()/#7 )% -e "#r<#r#.

 : En de!er"in&d$ in(!&n!e. & c$rrien!e ue &!r&5ie(& un induc!$r e( cer$. >#uede e0i(!ir 5$!&e en e induc!$r en e(e in(!&n!e@ e0#ic&r =)%3 # /e '%r $# $e *e %&3 "/#)*% $# "%rre)(e e- RI3 e$ +%$(#,e (#&) e- 3 # /e $# re--(e)"# )% '/e*e -er 

< &r& un circui!$ RL (erie )ener&. e0ci!&d$ #$r un& $nd& cu&dr&d& $(ci&nd$ en!re  / V. di*u&r en f$r"& c$rre&!i5&. indic&nd$ 5&$re( i!er&e( n$!&*e(. &( f$r"&( de $nd& de -e 5$!&e de en!r&d& 2$nd& cu&dr&d&3 -e 5$!&e ($*re & re(i(!enci& !$!& -e 5$!&e ($*re e induc!$r 2de(#reci&nd$ (u re(i(!enci& ó,"ic&3 -& c$rrien!e

CONCLUSIONES =Se e-(/*% %-er+%  "%&'r% e0'er&e)(#$&e)(e e0'er&e)(#$&e)(e e$ 'r%"e-% *e "#r<#  *e-"#r<# *e /) )*/"(%r3 %-er+#)*% $#- "/r+#- "#r#"(er-("#- *e +%$(#,e "%) re-'e"(% #$ (e&'%3 "%) e$ %-"$%-"%'%. =Se "#$"/$%  "%&'r% $# "%)-(#)(e *e (e&'% T#/3 "/% +#$%r +e)e *#*% '%r $# )*/"(#)"#  $# re--(e)"#.