(20 points) A metal-like disk of radius a and dielectric constant e, spins with an angular velocity about its axis in a uniform axial field B. (a) Explain why the disk will polarize. (b) Derive a relationship between the induced Electric Field and the Magnetic Field. (c) Derive a relationship for the induced polarization, P, as a function of B. (d) Calculate the bound volume charge density, Pb. (e) Calculate the bound surface charge density, op. (f) Where on the disk does the surface charge density, ob, form? Explain. (g) Show that the total bound charges sum to zero. S B W