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Faraday’s law, then, (with SI units and 3 significant figures understood) leads to
()
00
2
0
0
ln
ln
22
9
ln
10
91
0
ln
.
2
B
ib
b
dd
a
a
d
i
dt
dt
b a
b a dt
b
ad
tt
bad
t
bt
a
ba
µµ
ε
µ
⎡⎤
Φ
⎛⎞
=−
⎜⎟
⎢⎥
π−
⎝⎠
⎣⎦
⎛
⎞
−
⎜
⎟
⎝
⎠
−−
=
With
a
= 0.120 m and
b
= 0.160 m, then, at
t
= 3.00 s, the magnitude of the emf induced
in the rectangular loop is
=
×−
−
F
H
G
I
K
J
=×
−
−
4
10
016 9 3
10
2
012
016 012
598 10
7
7
π
π
ch
bg
b
g
.
ln
.
..
V
(b) We note that
/0
di dt
>
at
t
= 3 s. The situation is roughly analogous to that shown in
Fig. 305(c). From Lenz’s law, then, the induced emf (hence, the induced current) in the
loop is counterclockwise.
24. (a) First, we observe that a large portion of the figure contributes flux which “cancels
out.” The field (due to the current in the long straight wire) through the part of the
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 Spring '08
 Any
 Physics, Current

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