A circular rod of magnetic material with permeability μ is inserted coaxially in a very lo...

A circular rod of magnetic material with permeability μ is inserted coaxially in a very long air solenoid. The radius of the rod, a, is less than the inner radius, b, of the solenoid. The solenoid’s winding has n turns per unit length and carries a current I.

a) Find the values of B, H, and M inside the solenoid for r and for a

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b) What are the equivalent magnetization current densities Jmv and Jms for the magnetized rod?