The potential at the surface of a sphere (radius R) is given by

Question

V_0 = k cos 3theta
where k is constant. Find the potential inside and outside the sphere as well as the surface charge density (lower case sigma(theta)) on the sphere. (assume there is no charge inside or outside the sphere.

Answer 1

http://www.iitg.ernet.in/physics/fac/charu/courses/ph410_2007/tut4/node1.html

See prob 21