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2
22
0
2
5
/
2
2
2
7
/
2
2
2
5
/
2
2
7
/
2
31
5
2(
)
(
)
5
(
)
.
(2
)
)
Ni
R
dB
x
d
x
Rx
xs
s
x
s
s
x
s
µ
⎡
=−
+
⎢
++
⎣
⎤
−
−+
⎥
+−
+
+
⎦
At
x = s
/2,
2
0
2
5
/
2
2
2
7
/
2
/2
2
2
2
2
2
0
0
22 7
/
2
/
2
63
0
/
4
/
4
)
(
/
4
)
6(
/ 4) 30
/ 4
3.
2
(
/4)
(
s
R
s
dx
R
s
R
s
NR
R s
s
s R
R
Rs
⎡⎤
+
⎢⎥
⎣⎦
+
−
==
Clearly, this is zero if
s = R
.
86. (a) The magnitude of the magnetic field on the axis of a circular loop, a distance
z
from the loop center, is given by Eq. 2926:
B
R
Rz
=
+
0
2
3
2
)
,
/
where
R
is the radius of the loop,
N
is the number of turns, and
i
is the current. Both of
the loops in the problem have the same radius, the same number of turns, and carry the
same current. The currents are in the same sense, and the fields they produce are in the
same direction in the region between them. We place the origin at the center of the left
hand loop and let
x
be the coordinate of a point on the axis between the loops. To
calculate the field of the lefthand loop, we set
z = x
in the equation above. The chosen
point on the axis is a distance
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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, Current

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