3a. Consider a long magnetic rod, radius a. Imagine that we have set up a permanent magnetization M(s,, z) = c2, with c = constant. Neglect end effects; assume the cylinder is infinitely long. Calculate the bound currents K, and ], (on the surface and interior of the rod respectively). What are the units of c? Use these bound currents to find the magnetic field inside and outside the cylinder. (Direction and magnitude) Find the Ĥ field inside and outside the cylinder, and verify that · dỉ = Ifree,enclosed. Explain briefly in words why your answer is what it is. 3b. As in part 3a, consider an infinitely long magnetic rod, radius a. This time we set up a permanent azimuthal magnetization M(s,, z) = cs, with c = constant, and s is the usual cylindrical radial coordinate. Calculate the currents K, and J, (on the surface, and interior of the rod respectively). What are the units of c? Use these bound currents to find the magnetic field B, and also the H field, inside and outside. (Direction and magnitude)