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 = 6br5, 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, r2, b, R.) (a) r, < R B = (b) r2 > R B =

University Physics Volume 2
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...
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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 = 6br5, 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: µo, r, r2, b, R.)
(a) r, < R
B =
(b) r2 > R
B =
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 = 6br5, 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: µo, r, r2, b, R.) (a) r, < R B = (b) r2 > R B =
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