A magnetically hard material is in the shape of a right circular cylinder of length L and

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A magnetically "hard" material is in the shape of a right circular cylinder of length L and radius a. The cylinder has a permanent magnetization M0, uniform through-out its volume and parallel to its axis.

(a) Determine the magnetic field H and magnetic induction В at all points on the axis of the cylinder, both inside and outside.

(b) Plot the ratios B/μ0M0 and H/M0 on the axis as functions of z for L/a = 5.

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