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 = 6br, 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) r₂ R B =

University Physics Volume 2
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ISBN:9781938168161
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 48P: A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field...
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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.
i
Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Mo, ₁, ₂, b, R.)
(a) r₁ < 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. i Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Mo, ₁, ₂, b, R.) (a) r₁ < R B = (b) r₂ > R B =
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