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11. Our
x
axis is along the wire with the origin at the midpoint. The current ﬂows in the positive
x
direction. All segments of the wire produce magnetic Felds at
P
1
that are out of the page. According to
the BiotSavart law, the magnitude of the Feld any (inFnitesimal) segment produces at
P
1
is given by
dB
=
µ
0
i
4
π
sin
θ
r
2
dx
where
θ
(the angle between the segment and a line drawn from the segment to
P
1
)and
r
(the length
of that line) are functions of
x
. Replacing
r
with
√
x
2
+
R
2
and sin
θ
with
R/r
=
R/
√
x
2
+
R
2
,w
e
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 Fall '08
 SPRUNGER
 Physics, Current

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