16.360 lecture 23 today dynamic filed faraday’s law stationary loop in a time-varying magnetic...
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16.360 Lecture 23
Today
• Dynamic Filed • Faraday’s Law• Stationary loop in a time-varying Magnetic field
![Page 2: 16.360 Lecture 23 Today Dynamic Filed Faraday’s Law Stationary loop in a time-varying Magnetic field](https://reader036.vdocuments.mx/reader036/viewer/2022062409/56649d6a5503460f94a48b91/html5/thumbnails/2.jpg)
16.360 Lecture 23
Static field
,vD
,0 E
Dynamic Field
,0 B
,JH
,
ˆ
4 2
l R
RldIH
,vD
,t
BE
,0 B
,t
DJH
,'
'ˆ4
1' 2 v
v
R
dvREdE
![Page 3: 16.360 Lecture 23 Today Dynamic Filed Faraday’s Law Stationary loop in a time-varying Magnetic field](https://reader036.vdocuments.mx/reader036/viewer/2022062409/56649d6a5503460f94a48b91/html5/thumbnails/3.jpg)
16.360 Lecture 23
Faraday’s Law
, s
sdB
,,t
sdBt
sdt
BldE
s
sC
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16.360 Lecture 23
Electromotive force
,t
sdt
BldEV
sCemf
,memf
tremfemf VVV
Stationary Loop in a Time-varying Magnetic field
,
s
tremf sd
t
BV
,
s
i
tremf sd
t
B
RR
VI
Lenz’s law
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16.360 Lecture 23
,)(
ssCemf sdEsd
t
BldEV
An example:
,sin)3ˆ2ˆ(0 tzyBB
Faraday’s law, differential form,t
BE
(a) The magnetic flux link of a single turn of the inductor.
(b) The transformer emf,.
(c) The polarity of the emf.
(d) The induced current.
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16.360 Lecture 23
Example II
,3.0ˆ tzB
Determine the voltage drops across the two resistors