Recent content by gparker267

Thanks for following up! Yes, the trick lies in enforcing a condition that removes the divergent terms (however, the (a/r)^(s+1) term is still part of the solution). I intend to shift the range of radii (from r=[b,c] to r=[a,a+c]) and see how the solution responds.

Actually, the radial domain of the solution is r ε [b,c], so r=0, is already excluded because a singularity exists there. As for the formualtion, (a/r)^(s+1) cannot be removed because I am seeking for a solution in a region between the two spheres. Any other ideas?

Thanks for the feedback! I have looked at the Legendre polynomials, I am using the unnormalized polynomials. The problem is (a/r)^(s+1) term in V(r,θ) which diverges in the region r<a, for all θ values...

Homework Statement General solution for eccentric spheres, smaller sphere (radius, b) completely embedded within larger sphere of radius c. The centers of both spheres lie on z-axis, distance a, apart (note: c>b+a). Problem is symmetric, so consider θ=[0,∏], r=[0,c]. The inner sphere is...