Using Dirac delta functions in the appropriate coordinates, express the following charge distributions as three dimensional charge densities rho(x): a) in spherical coordinates, a charge Q uniformly distributed over a spherical shell of radius R: b) in cylindrical coordinates, a charge lambda per unit length uniformly distributed over a cylindrical surface of radius b. In each case verify your answer by performing integral_v rho(x) dx to show that charge enclosed in V is Q for case (a) and Lambda for case (b).
