An infinitely long cylinder of radius a has its axis along the z axis. Its magnetization is given in cylindrical coordinates by M = M_0 (rho/a)^2 phi^cap where M_0 = const. Find J_m and K_m. Verify that the total charge transferred is zero. Find the values of B and H everywhere, both inside and outside the cylinder.

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An infinitely long cylinder of radius a has its axis along the z axis. Its magnetization is given in cylindrical coordinates by M = M_0 (rho/a)^2 phi^cap where M_0 = const. Find J_m and K_m. Verify that the total charge transferred is zero. Find the values of B and H everywhere, both inside and outside the cylinder.

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