Circuitos Elétricos I - Exp1 [Caracterização de Formas de Ondas]

[jmvkrsm`g`k Ck`krgi `d GHA

MJPXD@[ÅÁD GD IGHDXGPÑXMD @K AMXA[MPDQ KIÍPXMADQ M \KQPG>>8-75V Amraumtds Kiítrmads M ^rdc. @r. Bgrlm Pgjglg

Gj`rí Iums Jujks Emgjjdjm Hrujg Jdeukmrg `k Qduzg Msghkiik @. Drigj`m Xgcgki ^guwkis `k Fgak`d Xgygjg Gikxg F. Xgpdsd

Qgjtd Gj`rí, 3 `k dutuhrd `k 8>75

Trusted by over 1 million members

Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.









Q[FÇXMD

7. DHOKPMSDQ

8

8. ^XK^GXGÅÁD K FKPD@DIDEMG

1 1 1 2

Fgtkrmgms [tmimzg`ds ^rkpgrgåád Fdjtgekf Kxpkrmfkjtgi

1. XKQ[IPG@DQ @g`ds `k cdrfg `k cdrfg `k dj`g skjdm`gi dj`g skjdm`gi @g`ds `k cdrfg `k cdrfg `k dj`g skjdm`gi? dj`g skjdm`gi? rktmcmagåád `k fkmg -dj`g @g`ds `k cdrfg `k cdrfg `k dj`g trmgjeuigr Gjçimsk `ds `g`ds dhtm`ds

7> 7> 77 78 71

0. ADJAI[QÛKQ

7;

XKCKXÏJAMGQ

73









7. DHOKPMSDQ

D kxpkrmf rmfkjtd `ksa ksarmt rmtd g skeumr tkf adf adfd dhoktmv tmvd ekrg krgi cgfmimgr mgrmzgr zgr ds kst kstu`gjt gjtks adf mjstrufkjtds `k fk`måád utmimzg`ds kf ighdrgtñrmds `k amraumtds kiítrmads k m`kjtmcmagåád `gs prmjampgms agrgatkræstmags `kstks gpgrkibds adf rkigåád gds `g`ds fk`m`ds k vgidrks tkñrmads. ^grg tgi, tgi, d dhoktm oktmvvd ksp kspkaæc kaæcma madd skrç krç g rkgi rkgimz mzgå gåád ád `g fk`m fk`måá åádd `k agrg agrgat atkr kræs æstm tmag ags, s, adfd adfd vgid gidr `k pmad mad g pmad pmad,, vgidr fçxmfd, vgidr fí`md, vgidr kcmagz, crkquïjamg k pkræd`d, `k `mvkrsgs cdrfgs `k dj`gs, utmimzgj`d ds kqumpgfkjtds `mspdjævkms jd ighdrgtñrmd.









8. ^XK^GXGÅÁD K FKPD@DIDEMG

G. Fgtkrmgms [tmimzg`ds

^grg ^grg rkgi rkgimz mzgå gåád ád `d kxpk kxpkrm rmfk fkjt jtdd sdhr sdhrkk agrg agrgat atkr krmz mzgå gåád ád `k cdrf cdrfgs gs `k dj`g dj`gss cdrg cdrgf f utmi utmimz mzg` g`ds ds ds skeumjtks fgtkrmgms k kqumpgfkjtds? PGHKIG >7. Fgtkrmgms k kqumpgfkjtds utmimzg`ds jd kxpkrmfkjtd. Fgtkrmgi / Kqumpgfkjtd

Wugjtm`g`k

Ekrg`dr `k Qmjgms

7

Dsamidsañpmd Pkltrdjmx GCE 1>87 H

7

Fuitæfktrd `memtgi `k hgjag`g ‑ F@F-2>0;H Fmjmpg

7

Fuitæfktrd `memtgi pdrtçtmi >7 ‑ KP-8;7> Fmjmpg

7

Fuitæfktrd `memtgi pdrtçtmi >8 ‑ KP-8>5;H Fmjmpg

7

^rdtdhdgr`

7

Xksmstdr `k 7; lέ

7

@md`d

7

H. ^rkpgrgåád

Pd`gs gs fk`m`gs rkgimzg`gs gtrgvís `k mjstrufkjtds `k fk`måûks `memtgms `kvkf skr rkpd rkpdrt rtg` g`gs gs gadf gadfpg pgjb jbg` g`gs gs `k sugs sugs mjak mjakrt rtkz kzgs gs,, agia agiaui uig` g`gs gs g pgrt pgrtmr mr `gs `gs `kcm `kcmjm jmåû åûks ks `ds `ds cghr cghrma magj gjtk tkss `ds `ds kqum kqumpg pgfk fkjt jtds ds.. Gs tghk tghkig igss skeu skeumj mjtk tkss rkig rkigam amdj djgf gf gs rksd rksdiu iuåû åûks ks,, mjak mjakrt rtkz kzgs gs k cgmx cgmxgs gs `k dpkr dpkrgå gåûk ûkss `ds `ds fuit fuitæf æfktr ktrds ds `mem `memtgm tgmss k dsam dsamid idsa sañp ñpmd md utmim utmimzg` zg`ds ds jd kxpk kxpkrmf rmfkj kjtd td (ds (ds fgju fgjugm gmss utmi utmimzg mzg`d `dss kjad kjadjt jtrgf rgf-s -skk jgs rkckrïjamgs \7V, \8V, \1V k \0V). PGHKIG >8. Cgmxgs `k dpkrgåûks, rksdiuåûks k mjakrtkzgs `d fuitæfktrd `memtgi KP-8;7> Fmjmpg. Pkjsád @A Cgmxg

^rkamsád

Pkjsád GA Xksdiuåád

Cgmxg

^rkamsád

Xksdiuåád

3>>fS

>,>7fS

3>>fS

>,>7fS

3S

>,7fS

3S

>,7fS









Adjt. PGHKIG >8? Cgmxgs `k dpkrgåûks, rksdiuåûks k mjakrtkzgs `d fuitæfktrd `memtgi KP-8;7> Fmjmpg. Crkquïjamg Cgmxg

^rkamsád

3>>>Bz 3>lBz

7>>fS XFQ

3>>lBz

Xksmstïjamg Xksdiuåád

Cgmxg

^rkamsád

>,7Bz

3>>έ

>,7έ

7Bz

3lέ

7έ

7>Bz

3>lέ

7>έ 7>>έ

·(>5%+8@)

Xksdiuåád

3FBz

8;>fS XFQ

7>>Bz

3>>lέ

3>FBz

7S XFQ

7lBz

3Fέ

·(7,>%+8@)

7lέ

3>Fέ

·(7,;%+8@)

7>lέ

Pd`g Pd `gss gs kspk kspkam amcm cmag agåû åûks ks sád sád `g`g `g`gss adfd adfd ·(%` ·(%`gg ikmt ikmtur urgg + jÿfk jÿfkrd rd `k `æem `æemtd tds) s),, pgrg pgrg gfhm gfhmkj kjtk tkss `k (81 (81 · ;)¾A )¾A, adf adf ufm` ufm`g` g`kk rkig rkigtm tmvg vg `d gr kf gtí gtí 5;%. ;%. Gs kspk kspkam amcm cmag agåû åûks ks `k mjak mjakrt rtkz kzgs gs sád sád vçim vçim`g `gss pgrg 7>% g 7>>% `g cgmxg `k fk`m`g adrrkspdj`kjtk. PGHKIG >1. Cgmxgs `k dpkrgåûks, rksdiuåûks k mjakrtkzgs `d fuitæfktrd `memtgi KP-8>5;H Fmjmpg. Pkjsád @A

Pkjsád GA

Cgmxg

^rkamsád

Xksdiuåád

Cgmxg

0>fS

·(>,;%+3@)

>,>7fS

0>fS

0>>fS

>,7fS

0>>fS

0S

7fS

0S

0>S

7>fS

0>S

0>>S

7>>fS

0>>S

7S

5;>S

7>>>S

·(>,;%+;@)

·(7,>%+;@) Crkquïjamg

Cgmxg

·(7,3%+7>@)

Xksdiuåád

>,>7fS >,7fS

·(>,2%+3@) ·(>,2%+3@)

7fS 7>fS 7>>fS

·(7,>%+2@)

7S


Cgmxg

^rkamsád

Xksdiuåád

7>>Bz

>,7Bz

0>>έ

·(>,2%+;@)

>,7έ

7>>>Bz

7Bz

0lέ

7έ

7>lBz

7>Bz

0>lέ

7>έ

7>>Bz

0>>lέ

7>>lBz

^rkamsád

^rkamsád

·(>,;%+0@)

·(>,2%+0@)

7>>έ









PGHKIG >0. Cgmxgs `k dpkrgåûks, rksdiuåûks k mjakrtkzgs mjakrtkzgs `d fuitæfktrd `k hgjag`g F@F-2>0;H Fmjmpg. Pkjsád @A Cgmxg

^rkamsád

Pkjsád GA Xksdiuåád

Cgmxg

7>ιS

8>>fS

7>>ιS

8S

8>S

7fS

8>S

7fS

8>>S

7>fS

8>>S

7>fS

7>>fS

5;>S

8>>fS 8S

7>>>S

·(>,>;%+7@)

·(>,7%+;@) Crkquïjamg

Cgmxg

8>lBz

^rkamsád

·(7,>%+8>@)

8>>lBz

^rkamsád

Xksdiuåád

7>ιS ·(>,2%+2>@)

·(7,>%+;>@)

7>>ιS

7>>fS


Cgmxg

^rkamsád

Xksdiuåád

7Bz

8>>έ

·(>,7%+7>@)

>,>7έ

7>Bz

8lέ

>,7έ

8>lέ

7έ ·(>,7%+;@)

8>>lέ

7>έ

8Fέ

7>>έ

8>Fέ

·(>,3%+;@)

7lέ

PGHKIG >;. Cgmxgs `k dpkrgåûks, rksdiuåûks k mjakrtkzgs `d Dsamidsañpmd. Pkjsád @A

Pkjsád GA

Cgmxg

^rkamsád

Xksdiuåád

Cgmxg

^rkamsád

Xksdiuåád

-

·(7%+>,;%S pp+;@)

7fS

-

·(7%+7@)

7fS

D vgidr kcmagz (Srfs - rddt rddt fkgj fkgj squ squgrk grk) í ufg fk`m`g `k tkjsád kiítrmag kqumvgikjtk gd vgid gidr quk `kvkr kvkrmg mg tkr tkr ufg tkjs tkjsád ád adj adjtæj tæjug, ug, pgrg pgrg ekrg ekrgrr kf `ktk `ktkrf rfmj mjg` g`gg agre agregg g fksfg ksfg `mss mssmpgå mpgåád ád `k pdtïjamg quk ekrg g tkjsád gitkrjg`g, kf `ktkrfmjg`d mjtkrvgid `k tkfpd. Í `ksarmtg fgtkf gtkfgt gtma magf gfkj kjtk tk,, adf adfd g fí` fí`mg qug` qug`rç rçtm tmag ag `g tkj tkjsád sád fk` fk`m`g. m`g. D vgid gidr kcma kcmagz gz `kp `kpkj`k kj`k `g cdrf cdrfgg `k dj`g j`g `g tkjs tkjsád ád gpim gpimag ag`g `g,, k kstá kstádd `ksar ksarmt mtds ds ghgm ghgmxxd ds açia açiauuids ids pgrg pgrg `ktk `ktkrf rfmj mjgå gåád ád `d vgid vgidrr kcma kcmagz gz `k cdrfgs `k dj`gs `k tkjsád adjtæjug, gitkrjg`g, k gitkrjg`g adf dccskt `k `k tkjsád adjtæjug.











M.

Pkjsád kcmagz (S XFQ ) pgrg fk`m`gs `k tkjsád adjtæjug - @A

@g`g @g`g ufg ufg tkjs tkjsád ád adjt adjtæj æjug ug v(t) 6 S @A , d vgidr kcmagz (SXFQ) gss gssdamg damg``d g kig, kig, pgrg grg td`d td`d t rkgi, í dhtm`d pkig suhstmtumåád `d vgidr `k tkjsád @A jg cñrfuig ekrgi `k vgidr kcmagz, k rksuitg jd prñprmd vgidr `k tkjsád. Qkus açiauids kstád gprkskjtg`ds ghgmxd? S rfs

6

∟ ∟ 7

P

S @A rfs @A rfs

MM.

P

∬ v(t )8 `t >

6

7 P

P

8

∬ S @A .`t 6 >

∟

8

S @A P

P

8 P 6 S @A ∬ ` t 6 ∟S @A P >

Pkjsád kcmagz (S XFQ ) pgrg fk`m`gs `k tkjsád gitkrjg`g - GA

^grg ^grg tkj tkjsûks ûks gitk gitkrj rjg` g`gs gs jg cdrf cdrfgg v(t) 6 S> .ads(ύt + β), dj`k g gfpimtu`k `g tkjsád vgrmg adf d tkfpd , d vgidr kcmagz (SXFQ) í dhtm`d gtrgvís `ds açiauids? S rfs

6

∟

P

\S > ads(ύt + β )V8 `t 6 P ∬ 7

>

∟

8

P

S ads8 (ύ t + β)`t P > ∬ 7

>

Agiauigj`d g mjtkergi `d adsskjd, `kcmjk-sk quk? u 6 ύt + β . @g m`kjtm`g`k trmedjdfítrmag ads8 u.ù 6 78 7 ύ

+ 78 ads(8u) dhtíf-sk quk?

∬ ads8 u.ù 6 ύ7 ∬ ( 78 + 78 ads(8u)) ` u 6 6

8(ύt + + β) + smj\8(ύt + + β)V 0ύ

7 7 8ύ ∬ ù + 8ύ ∬ ads(8u)ù

6

7 7 8ύ u + 0ύ smj(8u) + l 6

+ l

Agiauigj`d g mjtkergi kjtrk ds imfmtks > k P (quk pd`kf skr adjsm`krg`ds adfd t 8 - t 7)? P

\8(ύt + + β)V P ∬ ads8 (ύt + β)`t 6 \ 8(ύt + + β) + smj V > 6 8(ύt + + β) + smj\8(ύt + + β)V ∘0ύ8(ύ.> + β) ∘ smj\8(ύ.> + β)V 6 0ύ

>

6

8ύP + smj\8(ύP + 8β) ∘ smj(8β) 0ύ

6

8. 8ώ + smj(8. 8ώ .P + 8β) ∘ smj(8β) P P 0. 8ώ P

0ώ + smj(0ώ).ads(8β) + smj(8β).ads(0ώ) ∘ smj(8β) 2ώ

6 P

Ided, d vgidr kcmagz kcmagz `k ufg tkjsád gitkrjg`g í?

0ώ + smj(0ώ + 8β) ∘ smj(8β) 2ώ

6 P

0ώ + smj(8β) ∘ smj(8β) 2ώ

6 P

6 78 P

6









S rfs

6

∟

7 P

P

8

∬ \S @A + S GA ads(ύt + β)V `t 6 >

6

∟

P

7 P

8

∟

7 P

P

8 8 + 8S @A S GA ads8 (ύ t + β) + S GA ads8 (ύ t + β)`t ∬ \S @A >

P

P

8 ads8 (ύ t + β)`t ∬ S @A `t + P ∬ 8S @A S GA ads(ύt + β)`t + P ∬ S GA 7

>

7

>

>

Adfd `kfdjstrg`d jds mtkjs M k MM, P

8

8

8

P ∬ S @A `t 6 S @A 6 S @A rfs

7

k

>

P

8

S 8 8 P ∬ S GA ads (ύ t + β )`t 6 8

7

GA

>

8 6 S GAr fs .

Xkstg agiauigr g mjtkergi `d fkmd? P

P ∬ 8S @A S GA ads(ύ t + β )`t 6

7

8S @A S GA

>

6 6

P

P

∬ ads(ύt + β)`t 6 8S ύP S @A

GA

smj(ύ P + β) ∘ smj(β)V \ smj

>

8S @A S GA smj(ύ P )ads(β) + smj(β)ads(ύ P ) ∘ smj(β)V ύP \ smj 8S @A S GA 8S S GA smj(8ώ)ads(β) + smj(β) ads(8ώ) ∘ smj(β)V 6 @A smj(β) ∘ smj(β)V ύP \ smj ύP \ smj

6>

Ided, d vgidr kcmagz `g tkjsád gitkrjg`g adf dccskt `k `k tkjsád adjtæjug í `g`d pdr? S ( @A @A + GA )rfs

6

∟

8

S 8

S @A + > + GA 8

6

∟

8

S @A rfs

8 + S GAr fs

Gd rkgi kgimzgr zgr fk`m k`måûks åûks `k vgidrks `k smjgms gitkr tkrjg`ds, ufg gtk gtkjåád `kvk skr `g`g gd tmpd mpd `k gadpigfkjtd utmimzg`d pkid mjstrufkjtd `k ikmturg. Kf ekrgi, ds fuitæfktrds adfujs XFQ mjcd mjcdrf rfgf gf d vgid vgidrr `k tkjs tkjsád ád kcma kcmagz gz GA agia agiaui uig` g`dd fgtk fgtkfg fgtm tmag agfk fkjt jtkk gtrg gtrgví víss `d vgid vgidrr fí`m fí`mdd fk`m fk`m`d `d,, pkig cñrfuig S rfs 6 S fç x /∟8 . Jdtk quk kstg cñrfuig í vçim`g gpkjgs pgrg cdrfgtds `k dj`gs skjdm`gms, ided, g ikmturg `k dutrgs cdrfgs `k dj`gs gitkrjg`gs pdr kssk tmpd `k kqumpgfkjtd gprkskjtg krrds adjsm`krçvkms. Kf uf amra amraum umtd td adfu adfuf f adf adf agpg agpgam amtd tdrk rkss k mjù mjùtd tdrk rkss dadr dadrrk rk ufg ufg ergj ergj`k `k `mst `mstdr dråá åádd `d smjg smjgi, i, adf sdhrkpdsmåád `k dj`gs bgrfðjmags quk gitkrgf g cdrfg `g dj`g. Adf mssd, í jkakssçrmg g utmi utmimz mzgå gåád ád `k kqum kqumpg pgfk fkjt jtds ds agpg agpgzk zkss `k im`g im`grr adf adf cdrf cdrfgs gs jád jád skjd skjdm` m`gm gms, s, adfd adfd `msp `mspds dsmt mtmv mvds ds PX[K PX[K









rkgim gimzg` zg`g. Oç fuitæ itæfktrds rds `d tmpd PX[K XFQ GA+@A sád agp agpgzks `k fk`mr d vgidr idr kcmag magz tdtgi `k qugiqukr cdrfgtd `k dj`g, mjaiumj`d g adfpdjkjtk @A gd vgidr kxmhm`d. Jg rkgimzgåád `d kxpkrmfkjtd, cdrgf utmimzg`ds fuitæfktrds `ds 1 tmpds `ksarmtds gamfg, k d vgid gidr `k rkck rkckrï rïjjamg amg cdm cdm tdf tdfg`d g`d adfd adfd d vgid gidr fk`m fk`m`d `d pkid kid dsami samiddsañpm añpmdd. D fuit fuitæf æfkt ktrd rd pdrtç drtçtm tmii >8 7

(KP-8>5;H) gprkskjtg vgidrks XFQ< d fuitæfktrd pdrtçtmi >7 (KP-8;7>)8 gprkskjtg vgidrks PX[K X[K XFQ XFQ GA, k d fuitæ uitæf fktrd ktrd `k hgj hgjag`g ag`g (F@ (F@F-2> F-2>0; 0;H) H)1 gprk gprksk skjt jtgg gad gadpigfk igfkjjtd PX[K X[K XFQ GA+@A. A. Fdjtge Fdjtgekf kf Kxpkr Kxpkrmfk mfkjtg jtgii

Gjtk Gjtkss `k mjma mjmamg mgrr g fdjt fdjtge gekf kf `d kxpk kxpkrm rmf fkjtd kjtd,, d ekrg` krg`ddr `k smjgm mjgmss `kvk `kvk skr adj adjcme cmeurg` urg`dd pgrg pgrg ufg tkj tkjsád `k pmad-g-p g-pmad (S^^) `k 2,>>S, adf dccskt `k tkjs kjsád juid k crkqu kquïjamg amg mjmam mamgi ( c c ) pgrg 8;>Bz. Giíf `mstd, g adjcmeurgåád `k sgæ`g `d gpgrkibd `kvk kstgr sktg`g pgrg gitg mfpk`èjamg ’BMEB _‖ ^grg ^grg g fk`m fk`måá åádd `k `mck `mckrk rkjt jtks ks cdrf cdrfgs gs `k dj`g dj`gs, s, `dms `dms amra amraum umtd tdss skrá skrádd utmi utmimz mzg` g`ds ds.. Fk`m Fk`måû åûks ks `gs `gs agrg agrgat atkr kræs æstm tmag agss `gs cdrf cdrfgs gs `k dj`g dj`g skjd skjdm` m`gi gi (mtk (mtkf f G) k dj`g trmgje gjeuigr (mtkf mtkf A) skrá skrádd rkgi rkgimz mzg` g`gs gs kf uf amrau amraumtd mtd `msp `mspds dstd td kf prdtdhdgr` gpkj gpkjgs gs pdr pdr uf rksm rksmsstdr tdr k d ekrg ekrg``dr `k tkj tkjsád sád, adf adfd miu miustrg strg``d jg cmeurg >7. Ds vgidrks `k tkjsád g skrkf tdfg`ds jkstk amraumtd sád fk`m`ds jds tkrfmjgms `d rksmstdr `k rksmstdr `k 7;lέ.









Cmeurg >8. Amraumtd kiítrmad fdjtg`d jd prdtdhdgr` jd prdtdhdgr` pgrg pgrg agrgatkrmzgåád `k dj`gs skjdm`gms rktmcmag`gs.

Ds vgid gidrks rks `k tkjs tkjsád ád `g fkmgkmg-dj dj`g `g skrád krád tdfg tdfg`d `dss jds jds tkrf tkrfmj mjgm gmss `d rks rksmstd mstdr, r, fgs fgs ufg pdjt pdjtgg `k prdvg rdvg adjk adjkat atg` g`gg g uf agj agjgi skau skaujj`çrm `çrmdd `d dsamid amidssañp añpmd pd`k pd`k skr skr pds pdsmamd mamdjjg`g g`g jd tkrf tkrfmj mjgi gi èjd èjd`d `d `md`d pgrg `md`d pgrg vmsugimzgåád `g dj`g skjdm`gi adfpiktg.









1. XKQ[IPG@DQ

^grg ^grg rkgi rkgimz mzgå gåád ád `ds `ds açia açiauuids ids tkñr tkñrma mads ds,, gprk gprksk skjjtg`d tg`dss jg prmf prmfkm kmrg rg imj imjbg `k ag` ag`g tgh tghkig kig `kst `kstgg skåád, cdrgf utmimzg`ds ds skeumjtks adjakmtds k cdrfuigåûks tkñrmags? ◄

Sgidr `k tkjsád `k pmad-g-pmad (S pp)? @mckrkjåg kjtrk ds vgidrks `k gfpimtu`k fæjmfg k fçxmfg. D S pp cdm kspkamcmag`d k `g`d adfd vgidr vkr`g`kmrd.

◄

Sgidr `k tkjsád fçxmfg (Sfgx)? Sgidr `d Sgidr `d pmad pmad fçxmfd `d smjgi. @g`d pdr? S fgx

◄

6 S pp pp /8

Sgidr `k tkjsád fí`mg (Sfí`md)? Sgidr `k ergj`kzg adjtæjug, quk pdssum çrkg adrrkspdj`kjtk g çrkg sdh g aurvg `g dj`g pkrmñ`mag. dj`g pkrmñ`mag. @g`d fgtkfgtmagfkjtk pdr? fgtkfgtmagfkjtk pdr? S fí`md

◄

6

7 P

P

∬ v(t ).).`t

>

Sgidr `k tkjsád kcmagz (Srfs)? Sgidr rkigamdjg`d adf d agidr `mssmpg`d kf ufg rksmstïjamg. @g`d fgtkfgtmagfkjtk pdr? fgtkfgtmagfkjtk pdr? S rfs

◄

6

∟

7 P

P

∬ v8 (t ).).`t

>

^kræd`d (P)? Mjtkrvgid `k tkfpd jkakssçrmd î rkpktmåád `d amaid `g dj`g. @g`d fgtkfgtmagfkjtk pdr? P 6 c 7

◄

c )? Jÿfkrd `k amaids `g dj`g pdr ujm`g`k `k tkfpd. G crkquïjamg cdm Crkq Crkquï uïja jamg mg ( c

`kcmjm`g k `g`g adfd vgidr vkr`g`kmrd. G. @g`ds `k cdrfg `k dj`g skjdm`gi

Kstád Kstád gprk gprksk skjt jtg` g`ds ds ghgmx ghgmxdd ds `g`d `g`dss dhtm` dhtm`ds ds kf ighd ighdrgt rgtñr ñrmd md adf adf sugs sugs rkspk rkspkat atmv mvgs gs mjakr mjakrtkz tkzgs gs











PGHKIG >3.Sgidrks fk`m`ds k rkspkatmvgs mjakrtkzgs `k ufg cdrfg `k dj`g skjdm`gi `k S pp62S k c 68;>Bz. 68;>Bz.

Sgidr Pkñrmad Dsamidsañpmd

Sfçx \SV

Sfí`md \SV

Srfs \SV

P \sV

c \BzV \BzV

2,>>>

0,>>>

>,>>>

8,282

>,>>0

8;>,>>

>,>;7 · >,>>7

8,20= · >,>8=

>,>>0

80=,5= 0

-

-

8,218 · >,7>1

-

8;7,> · 8,5

2,1>> · >,>20 0,>5> · >,>08

Hgjag`g Fuitæfktrd @memtgi

S pp \SV

-

^drt. 7

-

-

-

8,255 · >,>17

-

80=,= 0

^drt. 8

-

-

-

8,;=3 · >,>85

-

8;>,> · 7,1

PGHKIG >5. Sgidrks fk`m`ds k rkspkatmvgs mjakrtkzgs `k ufg cdrfg `k dj`g skjdm`gi `k S pp62S k c 68;>Bz 68;>Bz adf dccskt `k tkjsád adjtæjug `k S pp/8. S pp \SV

Sfçx \SV

Sfí`md \SV

Srfs \SV

P \sV

c \BzV

2,>>>

2,>>>

0,>>>

;,350

>,>>0

8;>,>>

Gadp @A

2,1>> ·>,782

2,77> · >,783

1,=08 · >,>20

0,2;> · >,>=1

>,>>0

80=,=2 0

Gadp GA

2,>>> · >,>27

0,>7> · >,>07

->,1;2 · >,>>0

8,553 · >,>8=

>,>>0

80=,=2 0

Hgjag`g

-

-

-

8,285 · >,7>1

-

8;>,> · 8,5

^drtçtmi 7

-

-

-

8,253 · >,>17

-

80=,= 0

^drtçtmi 8

-

-

-

8,233 · >,>8=

-

8;>,> · 7,;

Sgidr Pkñrmad Dsamidsañpm d

Fuitæfktrd @memtgi









Cmeurg >0. Cdrfg `k dj`g skjdm`gi adf rktmcmagåád `k fkmg-dj`g.

PGHKIG >=.Sgidrks fk`m`ds k rkspkatmvgs mjakrtkzgs `k ufg cdrfg `k dj`g skjdm`gi rktmcmag`g `k S pp62S k c 68;>Bz. 68;>Bz. S pp \SV

Sfçx \SV

Sfí`md \SV

Srfs \SV

P \sV

c \BzV \BzV

Sgidr Pkñrmad

0,>>>

0,>>>

8,>>>

8,>>>

>,>>0

8;>,>

Dsamidsañpmd

1,=>> · >,>0>

1,357 · >,>12

7,>1= · >,>77

7,102 · >,>70

>,>>0

80=,2 ;

-

-

7,183 · >,>=>

-

8;>,> · 8,5

Hgjag`g Fuitæfktrd @memtgi

-

^drtçtmi 7

-

-

-

7,1;2 · >,>75

-

80=,= ;

^drtçtmi 8

-

-

-

7,1;2 · >,>75

-

8;>,> · 7,3

PGHKIG 7>.Sgidrks fk`m`ds k rkspkatmvgs mjakrtkzgs `k ufg cdrfg `k dj`g skjdm`gi rktmcmag`g kf fkmg dj`g `k S pp62S k c 67lBz. 67lBz. S pp \SV

Sfçx \SV

Sfí`md \SV

Srfs \SV

P \sV

c \BzV \BzV









Cmeurg >;. Cdrfg `k dj`g trmgjeuigr.

PGHKIG 77.Sgidrks fk`m`ds k rkspkatmvgs mjakrtkzgs `k ufg cdrfg `k dj`g trmgjeuigr `k S pp62S k c 68;>Bz. 68;>Bz. S pp \SV

Sfçx \SV

Sfí`md \SV

Srfs \SV

P \sV

c \BzV \BzV

Sgidr Pkñrmad

2,>>>

0,>>>

>,>>>

8,1>=

>,>>0

8;>,>

Dsamidsañpmd

2,>>> · >,>27

1,=3> · >,>07

->,>;2 · >,>>7

8,825 · >,>80

>,>>0

8;>,; 3

Hgjag`g

-

-

-

8,82> · >,>=2

-

85; · 8,=

^drtçtmi 7

-

-

-

8,80> · >,>8;

-

80=,= 3

^drtçtmi 8

-

-

-

8,18> · >,>8;

-

8;>,> · 7,5

Fuitæfktrd @memtgi

@. Gjçimsk `ds `g`ds dhtm`ds

G fk`m fk`måá åádd `k ergj ergj`k `kzg zgss pkid pkidss kqum kqumpg pgfk fkjt jtds ds jg dj`g dj`g `d tmpd tmpd skjd skjdm` m`gi gi,, tgjt tgjtdd pgrg pgrg crkq crkquï uïja jamg mg `k 8;>Bz ;>Bz k 7lBz 7lBz,, gprk gprksskjtg kjtg rksu rksuit itg` g`dds kspk kspkrg rg``ds k prñ prñxmfd xmfdss `ds vgid gidrks rks tm` tm`ds adf adfd jdfmjg fmjgms ms.. Ds vgidrks kcmagzks rkpdrtg`ds sk gprdxmfgf `d vgidr tkñrmad, pdms ds mjstrufkjtds, gtí fksfd d fkjds kjds prka prkams msdd utmim tmimzg zg``d gqu gqum pdrtçt rtçtmi mi 8, kstç kstç agim agimhhrg` rg`d pgrg pgrg rkgi rkgimz mzgr gr ikmt ikmtuurgs rgs `k dj`gs j`gs skj skjdm`g dm`gms ms k









kcmag magz gpkjgs `d smjg mjgi GA. Kstk rks rksuitg`d g`d í kspkrg`d g`d pgrg grg ds fuitæf tæfktrds pdrtç rtçtmi tmi >7 k pdrtç rtçtmi >8, pdms kstks jád pdssukf gadpigfkjtd @A, k mjcdrfgf gpkjgs g tkjsád kcmagz `g adfpdjkjtk GA. D fuitæfktrd `k hgjag`g pdssum ikmturg `k gadpigfkjtd GA + @A, fgs pdr cgibgs bufgjgs jg rkgimzgåád `d kxpkrmfkjtd, gpkjgs d vgidr `g adfpdjkjtk GA `d smjgi cdm tdfg`d, ided sug adrrkspdj`kjtk S ( GA GA + @A )rfs jád pd`k skr agiauig`g. D vgidr kcmagz `k ufg dj`g skjdm`gi rktmcmag`g pd`k skr fd`kig`d pkig sdfg `k ùgs mjtkergms quk adrrkspdj`kf îs ùgs fktg`ks `g dj`g jd pkræd`d? jd pkræd`d? 8

S rfs

6

7

P /8

P

∬

>

8

smj8 (ύ t )`t + 7

S fç x

P

P

∬

>.`t 6

P /8

8 S f ç x

0

∘

8 S f ç x

smj 8ώ 2ώ ( smj

∘ smj>) 6

8 S f ç x

0

ided, d vgidr kcmagz `g ufg fkmg-dj`g skjdm`gi utmimzg`g í Srfs 6 Sfçx/8 6 0/86 8S. Ds vgidrks rkpd rkpdrt rtg` g`ds ds pkid pkidss mjst mjstru rufk fkjt jtds ds jkst jkstkk agsd agsd cdrg cdrgf f ghgm ghgmxd xd `d kspk kspkrg rg`d `d.. Mssd Mssd dadr dadrrk rk pdms pdms gd pgss pgssgr gr pkid pkid `md`d, giíf `g rktm ktmcma cmagåád åád `g dj`g `k smjgi mjgi jkeg kegtmv tmvd, ufg pkqukjg pgra grakig kig `k gfpimt imtu`k pdsmtmvg mvg tgfh tgfhíf íf í pkr` pkr`m` m`g, g, pdr adjt adjtgg `g rks rksmstï mstïja jamg mg mjtk mjtkrj rjgg `d `md` md`d. G cñrf cñrfuuig fgtk fgtkf fçtma çtmagg pgrg pgrg dhtk dhtkjjåád åád `d vgidr kcmagz `k uf smjgi skjdm`gi jád adjsm`krg kssg pkr`g, k pdr adjtg `mssd, d vgidr tkñrmad í fgms gitd `d quk d fk`m`d. G quk`g `k tkjsád kf `md`ds `k smiæamd í `k gprdxmfg`gfkjtk >,5S k kf `md` md`ds `k ekrfèjmd í `k gprdxmfg`gfkj gfkjttk >,1S \3V. [f açiauid fgms adrrktd `d vgidr kcmagz jkstk agsd kjtád skrmg? S rfs 6 (S fç x ∘ S `md`d )/8 . ^grg ^grg kjad kjadjjtrgr trgr d vgid gidr `g tkj tkjsád kcma kcmagz gz `k ufg dj`g j`g trmg trmgje jeui uigr gr tkd tkdrmag rmagfk fkjt jtk, k, g kqu kqugåád gåád quk quk `

` `

tmi tmim `

m

i`

çi i G

á

`

` Gí









0. ADJAI[QÛKQ

D gvgjåd `g tkajdidemg `memtgi trgjshdr`g kqumpgfkjtds mjstrufkjtgms sdcmstmag`ds k prkamsds, fgs gpkjgs g adrrktg utmimzgåád `kiks í egrgjtmg `g vkrgam`g`k `k `g`ds adiktg`ds. Qghkr kjad kjadjt jtrg rgrr kspk kspkam amcm cmag agåû åûks ks kf fgju fgjugm gms, s, g ksad ksadib ibgg `d kqum kqumpg pgfk fkjt jtdd fgms fgms g`kq g`kqug ug`d `d î ikmt ikmtur urgg `ksk `kskog og`g `g k g adrr adrrkt ktgg rkpd rkpdrt rtgå gåád ád `ds `ds vgid vgidrk rkss sád sád gtrm gtrmhu hutd tdss mj`m mj`msp spkj kjsç sçvk vkms ms gd hdf hdf prdc prdcms mssm smdj djgi gi `g çrkg çrkg tíaj tíajma mag. g. D kxpk kxpkrmf rmfkj kjtd td rkgimz rkgimzg` g`dd gprd gprdcu cuj` j`du du adja adjakmt kmtds ds `k prçt prçtmag magss `k ighd ighdrgt rgtñr ñrmd md,, kspk kspkamc amcmag magfk fkjt jtk, k, g `mckr `mckrkj kjåg åg kjtrk utmimzgåád `k fuitæfktrds kf ikmturgs `k cdrfgs `k dj`gs `mstmjtgs. Ds fuitæfktrds pd`kf skr aigssmcmag`ds qugjtd gd sku fítd`d `k ikmturg `k dj`gs pkrmñ`mags. Fuitæfktrds XFQ sád ds fgms adfujs, k rkgimzgf ikmturgs adrrktgs gpkjgs `k dj`gs skjd skjdm` m`gm gmss skf skf adfp adfpdj djkj kjtk tk adjt adjtæj æjug ug.. Fu Fuit itæf æfkt ktrd rdss PX[K PX[K XFQ XFQ GA utmi utmimz mzgf gf d fítd fítd`d `d `k mjtk mjtker ergå gåád ád pgrg agiauigr d vgidr kcmagz, pdrtgjtd cdrjkakf d vgidr adrrktd `k qugiqukr tmpd `k dj`g pkrmñ`mag, skf skf adfp adfpdj djkj kjtk tk adjt adjtæj æjug ug.. Fu Fuit itæf æfkt ktrd rdss PX[K PX[K XFQ XFQ GA+@ GA+@A A mjad mjadrp rpdr drgf gf g adfp adfpdj djkj kjtk tk adjt adjtæj æjug ug kf skus açiauids, skj`d d mjstrufkjtd `g sug aigssk fgms agrd k fgms prkamsd pgrg gjgimsgr qugmsqukr tmpds `k dj`gs.











XKCKXÏJAMGQ

\7V Fmjmpg `d Hrgsmi It`g. Fuitæfktrd @memtgi KP-8>5;H/KP-877> - Fgjugi `k mjstruåûks. Xkvm Xkvmsá sádd >8. >8. Qád Qád ^gui ^guid, d, Q^ Q^,, Hrgs Hrgsmi mi - 8>/> 8>/>5/ 5/8> 8>7> 7>.. Gaks Gakssd sd kf 78/7 78/7>/ >/8> 8>75 75.. @msp @mspdj djæv ævki ki kf? kf?

9bttp?//www.fuitadfkramgi.adf.hr/p`c/fmjmpg/KP-8>5;H-877>-77>7-HX.p`c :. :. Fuitæf æfkt ktrd rd @mem @memtg tgii KP-8 KP-8>= >=;/ ;/KP KP-8 -8;7 ;7>> - Fgju Fgjugi gi `k \8V \8V Fm Fmjm jmpg pg Mj`ÿ Mj`ÿst strm rmgg k Adfí Adfíra ramd md It`g It`g.. Fuit mjstruåûks. Xkvmsád >>. Qád ^guid, Q^, Hrgsmi - 1>/>7/8>>1. Gakssd kf 78/7>/8>75. @mspdjævki kf?

9bttp?//prdckssdr.ucgha.kù.hr/~odsk.gzauk/Amraumtds%8>Kiktrmads%8>7/FuitmfktrdTKP8;7>.p`c: uitæf fktr ktrd @mem @memtg tgii `k Hgja Hgjagg`g F@FF@F-22>0;H >0;H \1V \1V Fmjmpg Mj` Mj`ÿstrm trmg k Adfíram ramd It`g. Fuitæ

Circuitos Elétricos I - Exp1 [Caracterização de Formas de Ondas]

Recommend Documents