Two concentric cylinders are shown in the figure. The inner cylinder is a solid insulator of radius a, length L, and carries a charge -2 uniformly distributed over its volume. The outer cylinder is a cylindrical, conducting shell, of also length L,inner radius b, and outer radius c that carries a net charge +2Q. The space between a and b is filled with air. No other charges are present. Let r denote the distance from the center of the arrangement. Express all your answers in terms of all or any of the quantities M, Q, L, a, b, c, r. and any fundamental constants ONLY. Ignore edge effects. L A. Determine the charge on the inner and outer surfaces of the cylindrical shell (S2 and S3). B. Use Gauss law to determine the magnitude of the electric field as a function of distance from the center r for: iv) r>c' a. i) r

Two concentric cylinders are shown in the figure. The inner cylinder is a solid insulator of radius a, length L, and carries a charge -2 uniformly distributed over its volume. The outer cylinder is a cylindrical, conducting shell, of also length L,inner radius b, and outer radius c that carries a net charge +2Q. The space between a and b is filled with air. No other charges are present. Let r denote the distance from the center of the arrangement. Express all your answers in terms of all or any of the quantities M, Q, L, a, b, c, r. and any fundamental constants ONLY. Ignore edge effects. L A. Determine the charge on the inner and outer surfaces of the cylindrical shell (S2 and S3). B. Use Gauss law to determine the magnitude of the electric field as a function of distance from the center r for: iv) r>c' a. i) r