solução cap.8 reitz eletromagnetismo
TRANSCRIPT
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
4/22
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
8/22
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
12/22
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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
ljxdlv/ lpsolfdqgr txh qr srgh yduldu frp 4 irud gr vrohqlgh1 Frpr r vrohqlgh lqqlwr/ 5 qr srgh yduldu frp 5/ sru vlphwuld/ lpsolfdqgr/ sruwdqwr/ txh whptxh vhu frqvwdqwh1
t H{hufflr ;14fU
gh prgr txh
w '>f U
2Z4c
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
+e, Dvvlp/ qrv srqwrv 4 ' @ h 4 ' K whprv
w E@ '>fU
2Z@c w EK '
>fU
2ZK
h txhuhprv txh r ydoru gh w EK qr vhmd phqru gr txh w E@ sru pdlv gh 2D 1 Dvvlp/whprv
e' c
w EK
w E@' c
@
K
@
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e
r txh gK
@
'e
c
hp frqfrugqfld frp r olyur1
t H{hufflr ;153= Xpd pdqhlud gh uhvroyhu hvwh sureohpd xwlol}dqgr r uhvxowdgr mfrqkhflgr gd lqgxr pdjqwlfd sdud r fdvr gh xp r frpsulgr1 Dvvlp/ whprv
O E4 '>fU
2Z4wc
hp frrughqdgdv floqgulfdv1 Djrud/ vdehprv txh
O E4 ' U e Oc
rx vhmd
U e O '
4
Y5Yw
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4
YE4w
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c Y5Y4
w n 4
YE4wY4
& ' >fU2Z4
w
Gd phvpd pdqhlud/ sru vlphwuld/ qr srghprv whu w glihuhqwh gh }hur1 Sruwdqwr
cY5Y4
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2Z4
h fdprv frp
5 E4 ' c
]@4
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>fU
2Z*? 4 n c
-
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
5 E '>fU
2Z*? 4 c
>fU
2Z*? 42 '
>fU
2Z*?
442
c
frpr txhudprv ghprqvwudu1
t H{hufflr ;054= M ylprv txh xpd vlwxdr frpr d ghvfulwd qr sureohpd +gh xpfder frd{ldo, srvxl xpd frqjxudr gh fdpsr +rewlgd shod ohl gh Dpsuh, gdgd sru
E?|
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2Z4 / sdud 4 K
Ee%| ' f/ sdud 4 : Kc
xpd yh} txh qr k fruuhqwh wrwdo txdqgr hvwdprv irud gr fder frd{ldo1 D sulphludlqgxr pdjqwlfd +frpr ylprv qr sureohpd dqwhulru, jhud xp srwhqfldo yhwru pdj0qwlfr gdgr sru
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hqtxdqwr txh d vhjxqgd jhud Ee%|5 E4 ' f1 Qr srqwr 4 ' K hodv ghyhp vhu ljxdlv/ ghprgr txh
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rx vhmd
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c
frpr txhudprv ghprqvwudu1
^Qrwh txh vh ivvhprv fdofxodu r srwhqfldo yhwru pdjqwlfr xvdqgr gluhwdphqwh d vxdghqlr lqwhjudo/ whudprv
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txh glyhujh vh }huprv rv olplwhv whqghu sdud lqqlwr u 1`
-
8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
15/22
Wr= Rfwrehu 57/ 5336 Sdjh= 48
t H{hufflr ;155= +d, sdud ghprqvwudu txhK
O d _O, ' x edvwd txh qrwhprv txh +7 vxshuiflh dehuwd txh ghqh d fxuyd ,
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d ?_@ '
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frpr ghvhmdgr1
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O d _O,c
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5Z42 '
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E?|w E4 '
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2u4c
qr lqwhulru gr vrohqlgh1Irud gr vrohqlgh/ whuhprv xpd olplwdr qd uhd 7/ ylvwr txh d lqgxr pdjqwlfd qxod qr h{whulru1 Dvvlp/ fdprv frp
5Z@2 '
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
16/22
Wr= Rfwrehu 57/ 5336 Sdjh= 49
txh r ydoru gd lqgxr pdjqwlfd qr lqwhulru gr vrohqlgh1 Gd phvpd pdqhlud/ sdudr h{whulru/ fdprv frp
U e OEe%| '
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4
Y
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4
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2u
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t H{hufflr ;156= +d, D htxdr +;194,
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eZ]T
OaEOo
MOo c Oo
M
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Wrpdqgr r glyhujhqwh +vreuh Oo/ qdwxudophqwh,/ fdprv frp
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U d O EOo ' fc
frpr txhudprv ghprqvwudu1
-
8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
17/22
Wr= Rfwrehu 57/ 5336 Sdjh= 4:
+e, Djrud whprv r vhjxlqwh fdvr
O ' U e
Oc
frpr vhpsuh/ h
U e O ' U e U e O ' U
U d O
c U2 O ' >f Oa
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' f1Gh idwr/ qrwhprv txh O/ vhqgr xp urwdflrqdo gh O/ qrv shuplwh xpd olehugdgh ghhvfrokd +xpd fdoleudjhp, gr wlsr
O ' O n Ubc
rqgh b xpdixqr hvfdodu txdotxhu +txh luhprv hvfrokhu fdoleududghtxdgdphqwh,1Frpr r urwdflrqdo gh xp judglhqwh qxor/ d htxdr O ' Ue O ' Ue O shupdqhfh dphvpd/ rx vhmd/ d lqgxr pdjqwlfd O ghqlgd sru O rx sru O d phvpd1 Wrphprvdjrud r urwdflrqdo gh O/ hvfulwr hp whuprv gh O> fdprv frp
U
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U d O
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U2b '
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frpU d O ' f
Rud/ frpr qrvvd hvfrokd gh b wrwdophqwh olyuh/ srghudprv whu frphdgr m frp hvwhO h rewlgr dv gxdv owlpdv htxdhv1
+f, Gh idwr/ frpr b duelwuulr/ r srwhqfldo yhwruldo gh O srgh whu txdotxhu glyhujhqwhghvhmdgr1
t H{hufflr ;157= +d, Vhmdp rv srwhqfldlv yhwruldlv=
O ' c+=c O2 ' %H h O ' c
2Oo e O
-
8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
18/22
Wr= Rfwrehu 57/ 5336 Sdjh= 4;
Sdud prvwudu txh wrgrv vr srvvyhlv srwhqfldlv yhwruldlv gd lqgxr pdjqwlfd xql0iruph
O '
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U e O ' cY%Y+
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Oo c EU d Oo O n EOo d U O c
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U d O 'Y%Y% n
Y+Y+ n
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O ' c+= c %H ' c E+= n %H ' cU E%+
Ghvwd pdqhlud/ O ' U/ frp ' c%+1
t H{hufflr ;158= Wrphprv r judglhqwh/ hp frrughqdgdv floqgulfdv/ gr srwhqfldo pdj0qwlfr )W/ gdgr sru
)W 'cU
2Zw
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c
txh r srwhqfldo gh xp r uhwr h frpsulgr/ frqgx}lqgr xpd fruuhqwh U1 Qrwh/hqwuhwdqwr/ txh d ixqr )W qr xqlydorudgd/ ylvwr txh/ dr frpsohwduprv xpd yrowd/vhx ydoru qr uhwruqd dr ydoru gd yrowd dqwhulru/ pdv dfuhvflgr gh 2Z1 Dvvlp/ rvphvprv srqwrv gr hvsdr fruuhvsrqghp d glvwlqwrv ydoruhv gh )W1 Lqwhuhvvdqwhphqwh/
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frpr vhqgr)W ' c
U
2ZuJ}~c
-
8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
19/22
Wr= Rfwrehu 57/ 5336 Sdjh= 4<
rqgh ~ d ydulyho frpsoh{d ~ ' 4 iTEw1 Qhvwh fdvr/ whudprv +qrwh txh iTEw 'iTd Ew n 2&Zo,
)W& ' cU2Z *L} 4 c U2Z Ew n 2&Z
gh prgr txhO ' +i Ic>fU)
W
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h r fduwhu pxowlydorudgr gd ixqr fd hvwdehohflgr lphgldwdphqwh d sduwlu gd pxowl0ydorudr gr orjduwlpr gh xpd ydulyho frpsoh{d1 Qhvwh fdvr/ r xvr gh vxshuiflhv ghUlhpdqq sdud wruqdu d ixqr xqlydorudgd srgh vhu xpd srvvlelolgdgh sdud holplqdur sureohpd1 lqwhuhvvdqwh prvwudu hvvd srvvlelolgdgh srutxh hod qrv wruqd d frp0sdudr frp r fdvr hohwurvwwlfr pxlwr pdlv su{lpd +ohpeuh0vh txh hp hohwurvwwlfdr srwhqfldo vhuld gdgr sru
) '
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2Z0f *? 4,1Sdud sureohpdv sodqduhv d vroxr dflpd srgh vhu h{wuhpdphqwh lpsruwdqwh/ m txhsrghprv xvdu r pwrgr gh wudqvirupdhv frqiruphv sdud wudwdu sudwlfdphqwh ghtxdotxhu frqglr gh frqwruqr1 Dvvlp/ sureohpdv txh hqyroyhuldp rv frp frqglhvgh frqwruqr duelwuuldv srghuldp vhu wudwdgrv ghvwd pdqhlud1
t H{hufflr ;15:= +d, Vdehprv txh d lqgxr pdjqwlfd +vreuh r hl{r 5, sdud xpdhvslud gdgd sru
O E5 '>fU
2
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
20/22
Wr= Rfwrehu 57/ 5336 Sdjh= 53
Djrud ydprv hvfuhyhu
)W Eoc w ' U2
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rqgh v wrpduhprv rv ydoruhv psduhv gh ?1 Rud/ hvwd vulh qrv iruqhfh
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c
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gh prgr txh edvwduld hvfrokhu rv frhflhqwhv frpr frhflhqwhv gd h{sdqvr elqrpldodflpd phqflrqdgd1 H{solflwdphqwh/
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O ' c>fU)W Eoc w c
r txh qr vhu ihlwr dtxl +frqylgdprv r ohlwru d id}0or,1
t H{hufflr ;15;= +hp dqgdphqwr, Whprv xpd frqjxudr frpr d prvwudgd qdjxud d vhjxlu
Qhvwh fdvr/ xp hohphqwr gh fruuhqwh +xpd hvslud, fd gdgr sru _U ' E@ t? w j/ E@_w _1Qrwh txh/ vre lqwhjudr qd hvihud wrgd/ whprv
U '
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
21/22
Wr= Rfwrehu 57/ 5336 Sdjh= 54
txh d fruuhqwh wrwdo1 R srwhqfldo yhwru/ sdud hvwd hvslud/ fd
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8/7/2019 Soluo Cap.8 Reitz Eletromagnetismo
22/22
Wr= Rfwrehu 57/ 5336 Sdjh= 55
txh vhohflrqd ? ' f1 Dvvlp/
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