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
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
16.360 Lecture 23
Faraday’s Law
, s
sdB
,,t
sdBt
sdt
BldE
s
sC
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
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.
16.360 Lecture 23
Example II
,3.0ˆ tzB
Determine the voltage drops across the two resistors
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