solução cap.8 reitz eletromagnetismo

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    1/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 4

    t Fdswxor ;

    t H{hufflr ;14= Frortxhprv d lqgxr pdjqwlfd xqliruph O qd gluhr 51 Vxsrqkddjrud txh xpd sduwfxod hqwuh qhvwh fdpsr frp yhorflgdgh O1 Vdehprv txh d irudtxh lu dwxdu vreuh d sduwfxod +gh pdvvd 6 h fdujd ^, gdgd sru

    O86 ' ^O e O

    rx vhmd/ vh wrpduprv O ' Oz n OO/ rqgh Oz uhsuhvhqwd d yhorflgdgh shushqglfxodu d Oh O

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    O86 ' ^Oz e O

    Dvvlp/ hp pgxor/ whprv 86 ' ^z1 D irud vhu h{huflgd qxpd gluhr txh

    shushqglfxodu wdqwr d O txdqwr d Oz +h/ dvvlp/ shushqglfxodu wdpep d OO,1 Hvwdirud vhu/ sruwdqwr/ xpd irud fhqwushwd frqvwdqwh h whuhprv/ hp pgxor

    ^z '62

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    shod h{lvwqfld gd lqgxr pdjqwlfd1t H{hufflr ;15= R Kdplowrqldqr gdgr

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    2/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 5

    Dv htxdhv fdp

    ;AAA?AAA=% ' R%

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    O# ' O#f iTEb| c

    rqgh b xp dxwrydoru gd pdwul} 1 Qrwh txh/ qhvwh fdvr/ whprv rv dxwrydoruhv hdxwryhwruhv +ghjhqhuhvfqfld gxsod hp f,

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    3/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 6

    Pdv qrwh txh /- ' z/ gh prgr txh

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    frpr hvshudgr1 Qrwh txh R5 ' SJ?r|/ rx vhmd/ r prylphqwr qd gluhr 5 vh g frpyhorflgdgh frqvwdqwh1

    t H{hufflr ;17= Whprv txh d iupxod +;158, gdgd sru

    O82 '>feZ

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    _O,2 e EOo2 c Ool

    MOo2 c OoM

    Srghprv id}hu r surgxwr yhwruldo wulsor lqglfdgr sdud rewhu

    _O, ek

    _O,2 e EOo2 c Ool

    ' _O,2

    _O, d EOo2 c Oo

    c EOo2 c Oo

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    Dvvlp/ whprv

    O82 ' c>feZ

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    MOo2 c OoM d _O, ' fc

    ylvwr txh d lqwhjudo gh olqkd wrpdgd vreuh xpd fxuyd ihfkdgd1 Dvvlp/ fdprv frp

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    EOo2 c Oo

    MOo2 c OoM_

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    txh r uhvxowdgr hvshudgr1

    t H{hufflr ;18= +hp dqgdphqwr, Whprv txh

    O8 ' U2 L2 _O,2 e O EOo2 cylvwr txh

    O EOo2 '>feZ

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    _O, e EOo2 c Oo

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    h rqgh xvdprv d ohl gh Elrw h Vdyduw1 Hwf1

    t H{hufflr ;1:= Srghprv xvdu rv uhvxowdgrv m rewlgrv d sduwlu gr wh{wr gr olyur/qrwdqgr djrud txh whprv rv qjxorv w ' SfJ h w2 ' 2fJ h txh @ @ |@? ESfJ *2 '@

    S +yhmd d jxud d vhjxlu,1

  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    4/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 7

    Dvvlp/ r uhvxowdgr fd/ vrpdqgr0vh d frqwulexlr gh fdgd r +S rv,

    Efc fc f ' S>fU

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    5/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 8

    t H{hufflr ;144= Qrwh txh whprv sulphludphqwh txh rewhu r fdpsr ghylgr d xpdhvslud txdgudgd gh odgr @1 Dvvlp/ frqvlghuh d jxud d vhjxlu

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    vhqgr txh qr r gd gluhlwd hvwdprv lqwhjudqgr gh @*2 dw c@*2/ hqtxdqwr txh qrudpr gd hvtxhugd hvwdprv lqwhjudqgr gh c@*2 dw @*21 Dvvlp/ fdprv frp r whupr

    dvvrfldgr frqwulexlr grv grlv rv lqgxr pdjqwlfd O gdqgr

    O E5 '>fU

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    6/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 9

    Djrud/ sdud rv rv txh hvwr *dwuv* h *qd iuhqwh* gd hvslud whudprv h{dwdphqwh dphvpd frqvwuxr/ h{fhwr shor dsduhflphqwr gd ydulyho + qr oxjdu gh %1 Dvvlp/

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    t H{hufflr ;145= Whprv txh/ hp frrughqdgdv hviulfdv

    O E5 '>fU

    2

    @2

    E52 n @2*2c

  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    7/22

    Wr= Rfwrehu 57/ 5336 Sdjh= :

    Srghprv hvfuhyhu r glyhujhqwh/ hp frrughqdgdv floqgulfdv frpr vhqgr

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    E52 n @2D*2

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    t H{hufflr ;146= Vdehprv txh 5 E4c 5 ghfuhvfhqwh frp 41 Dvvlp/ phgld hp txhydprv vdlqgr sdud rv odgrv gr pdjqhwr wudsh}rlgdo/ d lqgxr pdjqwlfd qd gluhr5 ydl glplqxlqgr +frqud d jxud d vhjxlu,1

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    8/22

    Wr= Rfwrehu 57/ 5336 Sdjh= ;

    +e, Qd jxud dqwhulru wdpep dsuhvhqwdprv gxdv srvvlelolgdghv sdud d fruuhqwh U+dtxl qr lpsruwd d gluhr gr prylphqwr gd sduwfxod/ rx vxd fdujd/ pdv dshqdv d

    gluhr gd fruuhqwh/ txh d phvpd gluhr gh _O,1 Vdehprv txh d irud gdgd sru

    O8 ' cU

    LO e _O,(

    dvvlp/ iflo yhu sdud dv gxdv fruuhqwhv dol dsuhvhqwdgdv/ txh vhpsuh whuhprv d irudO8 qd gluhr gr sodqr phgldqr +ghylgr dowhudr gd gluhr gd lqgxr pdjqwlfd/txdqgr sdvvdprv shor sdoqr,1 Dv rxwudv gxdv srvvlelolgdghv hvwduldp uhodflrqdgdvfrp dv gluhhv rsrvwdv gd fruuhqwh1 R ohlwru srgh yhulfdu txh r uhvxowdgr vhu rphvpr1

    t H{hufflr ;147= +d, Whprv txh d htxdr +;163, gdgd sru U dO ' f1 Vh wlyhuprv

    O 'Oo

    oe U} E%c+c5 c

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    >f Oa ' U e O

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    9/22

    Wr= Rfwrehu 57/ 5336 Sdjh= <

    t H{hufflr ;148= Hvwh xp h{hufflr h{wuhpdphqwh vlpsohv1 M vdehprv txh ghyhprvwhu +vh hvwlyhuprv qd dsur{lpdr gh fruuhqwhv hvwdflrquldv/ rx vhmd/ vh U d Oa '

    cY4*Y| ' f, U e O ' >f Oac

    gh prgr txh/ wrpdqgr r urwdflrqdo gh dperv rv odgrv/ whprv

    U e U e O ' U

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    c U2 O ' >fU e Oa

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    >f Oa

    ' >fUe Oa ghylgr lvrwursld h krprjhqhlgdghgr phlr pdjqwlfr1 Djrud qrwh txh/ sdud xp phlr frpr r frqvlghudgr/ whprv/ shodOhl gh Rkp/

    Oa'

    } O.c

    gh prgr txh}U e O. ' U e Oa

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    U2 O ' fc

    frpr txhudprv ghprqvwudu1

    t H{hufflr ;149= Qhvwh fdvr whprv xpd vlwxdr frpr d prvwudgd qd jxud d vhjxlu=

    h srghprv dsolfdu d ohl flufxlwdo gh Dpsuh1 Vdehprv txh d lqgxr pdjqwlfd/ sruud}hv gh vlphwuld/ ghyh vhu gluhflrqdgd wdqjhqfldophqwh txdotxhu flufxqihuqfldfhqwudgd qr hl{r txh sdvvd shor fhqwur gr frqgxwru1 Dvvlp/ d irupd pdwhpwlfd gdohl fd +_O, ' o_ww, L

    O d _O, '

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    o_w ' >fUc

  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    10/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 43

    rqgh U d fruuhqwh txh sdvvd shor r frqvlghudgr1 Qrwh/ hqwuhwdqwr/ txh d fruuhqwh U gdgd sru

    U ']7

    Oa d ?_@c

    rqgh 7 d vhr uhwd olplwdgd sru 1 Dvvlp/ vh o : -/ rqgh - r udlr gr frqgxwru/hqwr hvwdprv wrpdqgr wrgd d vhr uhwd gr frqgxwru h d fruuhqwh U d fruuhqwh wrwdo1Orjr

    E2Zo ' >fU '>fU

    2Zoc o z -

    Sru rxwur odgr/ vh whprv o y -/ hqwr dshqdv sduwh gd fruuhqwh hvw vhqgr frqvlghudgd+d sduwh lqwhuqd flufxqihuqfld frp udlr o,1 Qhvwh fdvr/ whprv

    U? ' UZo2

    Z-2c

    rqgh r whupr gluhlwd iruqhfh d srufhqwdjhp gh fruuhqwh vhqgr frqvlghudgd +r r frqvlghudgr phwdo krprjqhr,1 Orjr/ qhvwh fdvr/ fdprv frp

    E2Zo ' >fo2

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    2Zoc o y -

    Ilfd fodur ghvwd htxdr txh ' f vh o ' f/ rx vhmd/ d lqgxr pdjqwlfd vh dqxodvreuh r hl{r gr r1

    t H{hufflr ;14:= Frqvlghuh d jxud d vhjxlu=

    Dgrwdqgr d vxjhvwr gr olyur h dvvxplqgr txh d fdylgdgh fduuhjd ghqvlgdgh gh fru0uhqwh c Oa/ hqtxdqwr txh r flolqgur fduuhjd ghqvlgdgh gh fruuhqwh Oa/ fdprv frp+frqvlghudqgr0vh d fxuyd , L

    O d _O, ' >faZr2c

  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    11/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 44

    rqgh }hprv U ' Zr2a/ xpd yh} txh hvwdprv frqvlghudqgr d fxuyd gr flolqgur+frpsohwr, gh udlr K sdud r txdo d ghqvlgdgh gh fruuhqwh a h hvwd fxuyd sdvvd shor

    fhqwur gd fdylgdgh/ txh fd d xpd glvwqfld r gr fhqwur gr flolqgur gh udlr K1 Dfdylgdgh qr frqwulexl/ ylvwr txh r fdpsr hp vhx hl{r qxor +yhmd h{hufflr dqwhulru,1Dvvlp/ wrpdqgr d fxuyd whprv

    E2Zo ' >fZr2a

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    t H{hufflr ;14;= Vh qrvvr vrohqlgh lqqlwr srgh vhu frqvlghudgr wdo txh d lqgxrpdjqwlfd v srvvxl frpsrqhqwh qd gluhr 5+phvpd gluhr gh rulhqwdr gr vrohqlgh,/hqwr srghprv frqvwuxlu xpd fxuyd frpr d dsuhvhqwdgd qd jxud d vhjxlu sdud rfofxor gh O1

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    12/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 45

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    u ' >f U '>f U

    uc

    frqfrugdqgr frp r uhvxowdgr m rewlgr qr olplwh @*u 1 Rud/ frpr rv fofxorvdwudyv gh h gh gr r phvpr uhvxowdgr h d glihuhqd hqwuh rv fdplqkrv vh ghyhdrv ydoruhv txh 5 srgh wrpdu qrv srqwrv 4 irud gr vrohqlgh/ hvwhv ydoruhv ghyhp vhu

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    t H{hufflr ;14fU

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    txh r phvpr uhvxowdgr gh xp r orqjr +frp fruuuhqwh U,1 Sdud 4 @ whprvtxh U ' f h/ sruwdqwr/ O ' f1 Gd phvpd irupd/ sdud 4 : K/ whprv U fruuhqwhv

  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    13/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 46

    *sdud flpd* h U fruuhqwhv *sdud edl{r*/ gdqgr xp otxlgr gh U|J| ' f/ gh prgr txh/qrydphqwh/ O ' f1

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    14/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 47

    rqgh xpd frqvwdqwh txh g r qyho gh hqhujld txh vh hvw dgrwdqgr1 Dvvlp/ fdgd rwhp xp srwhqfldo yhwruldo pdjqwlfr frpr r rewlgr dflpd +qd gluhr 5/ reyldphqwh,1

    Djrud/ sdud xp srqwr txh hvwhmd d xpd glvwqfld 4 h 42 gh grlv rv/ fdgd txdofrp fruuhqwh qxp vhqwlgr/ fdprv/ sru vxshusrvlr

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    15/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 48

    t H{hufflr ;155= +d, sdud ghprqvwudu txhK

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    16/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 49

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    17/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 4:

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    t H{hufflr ;157= +d, Vhmdp rv srwhqfldlv yhwruldlv=

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    18/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 4;

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    19/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 4<

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    t H{hufflr ;15:= +d, Vdehprv txh d lqgxr pdjqwlfd +vreuh r hl{r 5, sdud xpdhvslud gdgd sru

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    20/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 53

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  • 8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo

    21/22

    Wr= Rfwrehu 57/ 5336 Sdjh= 54

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