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21. (a) In the region of the smaller loop the magnetic field produced by the larger loop
may be taken to be uniform and equal to its value at the center of the smaller loop, on the
axis. Eq. 2927, with
z = x
(taken to be much greater than
R
), gives
G
B
iR
x
=
µ
0
2
3
2
±
i
where the +
x
direction is upward in Fig. 3050. The magnetic flux through the smaller
loop is, to a good approximation, the product of this field and the area (
π
r
2
) of the smaller
loop:
Φ
B
ir R
x
=
π
0
22
3
2
.
(b) The emf is given by Faraday’s law:
ε
µµ
=−
F
H
G
I
K
J
F
H
G
I
K
J
F
H
G
I
K
J
−
F
H
G
I
K
J
=
d
dt
ir R
d
dt
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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