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B
rdE
dt
=
µε
00
2
,
and for
r
≥
R
, it is
B
R
r
dE
dt
=
2
2
.
The maximum magnetic field occurs at points for which
r = R
, and its value is given by
either of the formulas above:
B
RdE
dt
max
.
=
2
There are two values of
r
for which
B = B
max
/2: one less than
R
and one greater.
(a) To find the one that is less than
R
, we solve
24
dt
dt
=
for
r
. The result is
r = R
/2 = (55.0 mm)/2 = 27.5 mm.
(b) To find the one that is greater than
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 Spring '08
 Any
 Physics

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