A solid conducting sphere of radius r1 is surrounded by a concentric conducting spherical shell of inner radius r2 and outer radius r3. A charge Q1 is placed on the inner sphere and a charge Q2 is placed on the outer shell.
a) Find an expression for the electric field as a function of r, the distance to the center of the spheres. b) Find an expression for the electrostatic potential as a function of r. c) Make a sketch of the field and potential as a function of r. d) How would your sketches change if both the sphere and the shell were replaced by uniform volume charge densities giving the same total charge?
