18.1 A long straight wire of radius a is oriented with its center along the z axis. Within the wire is the current density s² J(s) = Jo 2. (a) Find the magnetic field B both inside and outside the wire. (b) Is the magnetic field continuous at the boundary s = a? Why is this? Answer: (a) + 4 B(s) = HOJ - 83 a2P 0 < s a

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18.1 A long straight wire of radius a is oriented with its center
along the z axis. Within the wire is the current density
J(s) = Jo 22.
(a) Find the magnetic field B both inside and outside the wire.
(b) Is the magnetic field continuous at the boundary s = a? Why is
this?
Answer: (a)
B(s) =
HOJ
4
83
92
S
$0< s <a
$ s> a
Transcribed Image Text:18.1 A long straight wire of radius a is oriented with its center along the z axis. Within the wire is the current density J(s) = Jo 22. (a) Find the magnetic field B both inside and outside the wire. (b) Is the magnetic field continuous at the boundary s = a? Why is this? Answer: (a) B(s) = HOJ 4 83 92 S $0< s <a $ s> a
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