An infinitely long cylinder of radius R carries a magnetization M = kr°¢ , where k is a constant, r is the distance from the central axis of the cylinder and is a unit vector along the azimuthal direction. (1) Calçulate the bound bulk and surface current due to the M Hint: use cylindrical coordinate (2) Find the magnetic field due to the M at field point inside and outside the cylinder Hint: use the result for magnetic field produced by infinitely long solenoid

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 32P: A particle of charge q and mass m is accelerated from rest through a potential difference V, after...
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An infinitely long cylinder of radius R carries a magnetization M = kr° 6 , where k is a constant, r
is the distance from the central axis of the cylinder and Ø is a unit vector along the azimuthal
direction.
(1) Calculate the bound bulk and surface current due to the M
Hint: use cylindrical coordinate
(2) Find the magnetic field due to the M at field point inside and outside the cylinder
Hint: use the result for magnetic field produced by infinitely long solenoid
y
Transcribed Image Text:An infinitely long cylinder of radius R carries a magnetization M = kr° 6 , where k is a constant, r is the distance from the central axis of the cylinder and Ø is a unit vector along the azimuthal direction. (1) Calculate the bound bulk and surface current due to the M Hint: use cylindrical coordinate (2) Find the magnetic field due to the M at field point inside and outside the cylinder Hint: use the result for magnetic field produced by infinitely long solenoid y
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