Chapter 6, Problem 64P

An aluminum spherical ball of radius 4 cm is charged with $5\mu C$ of charge. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. A total charge of $-8\mu C$ is put on the copper shell. (a) Find the electric field at all points in space, including points inside

the aluminum and copper shell when copper shell and aluminum sphere are concentric. (b) Find the electric field at all points in space, including points inside the aluminum and copper shell when the centers of copper shell and aluminum sphere are 1 cm apart.