A set of known constants n parameterizes the potential in a volume r < a as Let z point along = 0 and

A set of known constants α_n parameterizes the potential in a volume r < a as

Let ˆz point along θ = 0 and insert a solid conducting sphere of radius R < a at the origin. Show that the force exerted on the sphere when it is connected to ground is in the z-direction and

n (, ) = (5) n=l P (cos ).