Finding Potential Inside a Conducting Sphere

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Void123
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Homework Statement



If I wanted to find the potential inside a sphere, would I be looking for the general solution (in terms of Bessel's expression) for the helmholtz equation, in spherical polar coordinates?

Also, does a 'conducting' sphere imply that there is no potential outside the sphere?



Homework Equations



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The Attempt at a Solution



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Can no one verify this for me? Have I been too ambiguous?
 
Well, it is a topic addressed in the mathematical literature. But I will try your suggestion anyways. Thanks.