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Induced Voltages and Inductance
187
20.30
()
2
5
max
2
rev
2 rad
1 min
100 2.0
10
T
0.20 m
1500
min
1 rev
60 s
1.3
10
V
13 mV
horizontal
NB
A
π
ω
ε
−
−
==
×
=×
=
20.31
Note the similarity between the situation in this problem and a generator. In a generator,
one normally has a loop rotating in a constant magnetic field so the flux through the
loop varies sinusoidally in time. In this problem, we have a stationary loop in an
oscillating magnetic field, and the flux through the loop varies sinusoidally in time. In
both cases, a sinusoidal emf
max
sin
t
=
EE
where
max
NBA
=
E
is induced in the loop.
The loop in this case consists of a single band
( )
1
N
=
around the perimeter of a red

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