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Problem 6.12 An infinitely long cylinder, of radius R, carries a “frozen-in” magne- tization, parallel to the axis, M = ks z, where k is a constant and s is the distance from the axis; there is no free current anywhere. Find the magnetic field inside and outside the cylinder by two different methods: (a) As in Sect. 6.2, locate all the bound currents, and calculate the field they produce. (b) Use Ampère's law (in the form of Eq. 6.20) to find H, and then get B from Eq. 6.18. (Notice that the second method is much faster, and avoids reference to the bound currents.) any explicit

Problem 6.12 An infinitely long cylinder, of radius R, carries a “frozen-in” magne- tization, parallel to the axis, M = ks z, where k is a constant and s is the distance from the axis; there is no free current anywhere. Find the magnetic field inside and outside the cylinder by two different methods: (a) As in Sect. 6.2, locate all the bound currents, and calculate the field they produce. (b) Use Ampère's law (in the form of Eq. 6.20) to find H, and then get B from Eq. 6.18. (Notice that the second method is much faster, and avoids reference to the bound currents.) any explicit

University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter8: Atomic Structure
Section: Chapter Questions
Problem 49P: Show that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the...
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Problem 6.12 An infinitely long cylinder, of radius R, carries a “frozen-in” magne- tization, parallel to the axis, M = ks z, where k is a constant and s is the distance from the axis; there is no free current anywhere. Find the magnetic field inside and outside the cylinder by two different methods: (a) As in Sect. 6.2, locate all the bound currents, and calculate the field they produce. (b) Use Ampère's law (in the form of Eq. 6.20) to find H, and then get B from Eq. 6.18. (Notice that the second method is much faster, and avoids reference to the bound currents.) any explicit
Transcribed Image Text:Problem 6.12 An infinitely long cylinder, of radius R, carries a “frozen-in” magne- tization, parallel to the axis, M = ks z, where k is a constant and s is the distance from the axis; there is no free current anywhere. Find the magnetic field inside and outside the cylinder by two different methods: (a) As in Sect. 6.2, locate all the bound currents, and calculate the field they produce. (b) Use Ampère's law (in the form of Eq. 6.20) to find H, and then get B from Eq. 6.18. (Notice that the second method is much faster, and avoids reference to the bound currents.) any explicit
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