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 function of the radius according to J = 6br³, 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, 1, 2, b, R.) (a) r₁ R
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 function of the radius according to J = 6br³, 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, 1, 2, b, R.) (a) r₁ R
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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 = 6br³, where b is a constant.
I
R
Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: μo, ₹1, 2, b, R.)
(a) r < R
B=
(b) r₂ > R
B
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