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6. (a) The Pythagorean theorem leads to
B
=
q
B
2
h
+
B
2
v
=
r
³
µ
0
µ
4
πr
3
cos
λ
m
´
2
+
³
µ
0
µ
2
πr
3
sin
λ
m
´
2
=
µ
0
µ
4
πr
3
q
cos
2
λ
m
+4sin
2
λ
m
=
µ
0
µ
4
πr
3
q
1 + 3 sin
2
λ
m
,
where cos
2
λ
m
+ sin
2
λ
m
=1wasused
.
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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