A long cylinder of radius R carries a magnetization parallel to the axis M = ks² 2, where k is a constant and s is the distance from the axis. (a) Find the magnetic field inside and outside the cylinder. (b) Find H inside and outside the cylinder. (c) Check that the Ampére's law (6.20) in Griffiths is satisfied.

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A long cylinder of radius R carries a magnetization parallel to the axis M = ks² 2, where k is a constant
and s is the distance from the axis.
(a) Find the magnetic field inside and outside the cylinder.
(b) Find H inside and outside the cylinder.
(c) Check that the Ampére's law (6.20) in Griffiths is satisfied.
Transcribed Image Text:Problem 2 A long cylinder of radius R carries a magnetization parallel to the axis M = ks² 2, where k is a constant and s is the distance from the axis. (a) Find the magnetic field inside and outside the cylinder. (b) Find H inside and outside the cylinder. (c) Check that the Ampére's law (6.20) in Griffiths is satisfied.
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