(10 points) a cylindrical shell of dielectric of permittivity and inner and outer radii a and b surrounds a very long, conducting cylinder of radius a. the system is placed in an electric field e0, perpendicular to the axis of the cylinder, (a) (8 points) find the potential in the regions r < a, a < r < b, and r > b. (b) (2 points) find the charge per unit area at r = a as a function of the angle measured from the direction of e0.