Introduction to electrodynamics (4th) by David Griffiths

Q2 A point dipole p oriented along the z-axis is placed at the center of a spherical cavity of radius R with conducting walls. The walls are grounded. Find the potential everywhere inside the cavity using the general solution in spherical coordinates V(r, 0 ) = > BL] Air + itl Pi(cos 0), with the following two boundary conditions: 1= 0 (i) V = 0 at r = R and (ii) V - Vaipole as r = 0