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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 = br3, where b is a constant.

Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: μ0, r1, r2, b, R .)

(a) r1

(b)r2 > R

1564_cylindrical.png

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