Suppose that the current density carried by an infinite cylindrical wire varies as Jz(u) = J0(u/R), where J0 is the value of the current density at the wire's surface u = R. Assuming that the magnetic field is circular, compute the wire's magnetic field both inside and outside the wire.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 80AP: The current density in the long, cylindrical wire shown in the accompanying figure varies with...
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Suppose that the current density carried by an infinite cylindrical wire varies as Jz(u) = J0(u/R), where J0 is the value of the current density at the wire's surface u = R. Assuming that the magnetic field is circular, compute the wire's magnetic field both inside and outside the wire.

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