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.

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.