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 = 2br*, 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: H0, r, r,, b, R.) (a) r, < R B = 3 (b) r2 > R B = 3r2

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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 = 2br*, 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: Ho, r, r,, b, R.)
(a) r, < R
Hobr?
В -
3
(b) r2 > R
B =
3r2
Transcribed Image Text: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 = 2br*, 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: Ho, r, r,, b, R.) (a) r, < R Hobr? В - 3 (b) r2 > R B = 3r2
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