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Question Details:
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 4br3, where b is a constant.
Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use r_1 for r1, r_2 for r2, mu_0 for μ0, and b and R as appropriate.)
(a) r1 < R
1
(b) r2 > R
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