cylindrical shell with an inner radius a and outer radius b. A current I is uniformly distributed across the shell (i.e., in the region a < r < b), coming out of the page. (a) Use Ampere’s law to derive equations for the magnitude of the magnetic field in all three regions (i.e., for 0 < r < a, a < r < b, and r > b). (b) Show that the magnetic field is continuous at r = a and r = b.
cylindrical shell with an inner radius a and outer radius b. A current I is uniformly distributed across the shell (i.e., in the region a < r < b), coming out of the page. (a) Use Ampere’s law to derive equations for the magnitude of the magnetic field in all three regions (i.e., for 0 < r < a, a < r < b, and r > b). (b) Show that the magnetic field is continuous at r = a and r = b.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...
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Consider an infinitely long, thick, cylindrical shell with an inner radius a and outer radius b. A current I is uniformly distributed across the shell (i.e., in the region a < r < b), coming out of the page.
(a) Use Ampere’s law to derive equations for the magnitude of the magnetic field in all three regions (i.e., for 0 < r < a, a < r < b, and r > b).
(b) Show that the magnetic field is continuous at r = a and r = b.
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