Homework Help: Problem with solving laplace equation with a charged ring

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1. Oct 10, 2016

throwaway128

1. The problem statement, all variables and given/known data
A ring charge of total charge Q and radius a is concentric with a grounded conducting sphere of radius b, b < a.
Determine the potential everywhere. The ring is located in the equatorial plane, so both the sphere and the ring have their center at the same spot.

2. Relevant equations
∇V=0

3. The attempt at a solution
Well the region r < b is V = 0.
At first I thought about using the Laplace equatio for he next zone (b < r < a) making it zero on the surface of the sphere and Q/4πε on the ring, but then I am at a draw and don't know what to do next.

2. Oct 10, 2016

haruspex

Everywhere in 3D, or just in the equatorial plane?

3. Oct 10, 2016

haruspex

Don't forget the induced charge on the sphere.

4. Oct 10, 2016

throwaway128

It is everywhere in 3D.

5. Oct 11, 2016

haruspex

This one looks beyond me. The method of images might be applicable.