December 2014
Intermediate to advanced
418 pages
16h 17m
English
Content preview from Electricity and Magnetism
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B–380 Electricity and Magnetism
B.39 An infinitely long thick wire with radius a bears electric current which is more densely
distributed as one moves outward from the centre of the wire, according to
J(r) = J
0
r
4
a
4
, r ≤ a , and J(r) = 0 , r > a .
The total current flowing through the wire is measured to be I
0
.
(a) Determine the factor J
0
in terms of the total current and the radius of the wire.
(b) Determine the magnetic field produced by this current in the region of space
(i) outside of and (ii) within the wire.
B.40 Repeat B.39 for the current density within the wire: J(r) = J
0
1 −
r
2
a
2
, r ≤ a.
B.41 Repeat B.39 for the current density within the wire: ...
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