Consider a cylindrical capacitor that consists of an inner conducting cylinder(a wire) with radiusa, and an outer cylindrical shell of radiusb. the inner cylinder hastotal charge +qand the outer cylindrical shell has total charge−q. a) (2 points) find the surface charge densities on the cylinder and cylindrical shellσaandσb, respectively. b) (2 points) find thee-field everywhere. make a sketch of your solution. c) (2 points) integrate the energy density stored in thee-field. d) (2 points) find the capacitancecof this system, and then use stored energy =12cv2.5.