Suppose the potential V 0 () at the surface of a sphere is specified, and there is

Question:

Suppose the potential V₀ (θ) at the surface of a sphere is specified, and there is no charge inside or outside the sphere. Show that the charge density on the sphere is given by where (21 + 1)²C; P;(cos 0), (3.88) σ(θ) - €0 2R !=0 Vo(e) P(cos e) sin & de. (3.89) Cj =