When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E = E0kˆ, the resulting electric potential is V(x, y, z) = V0 for points inside the sphere and
For points outside the sphere, where V0 is the (constant) electric potential on the conductor, use this equation to determine the x, y, and z components of the resulting electric field.