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 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 85AP: , A ray long, thick, cylindrical wire of radius R carries a current density J that varies across its...
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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 = 4br, where b is a constant.
R
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
В -
(b) r2 > R
В -
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 = 4br, where b is a constant. R 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 В - (b) r2 > R В -
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