Electric Field and Potential from a point charge

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In this problem, we have a positive point charge in a conducting thin shell. The shell is overall neutral. The complication is that the charge is not at the center of the sphere but maybe half radius away.

How do we find the electric field and potential inside the sphere?

Why the distribution of positive charge on the outer surface of the shell uniform?

Thanks!
 
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Thanks, this is not a homework problem but something I was thinking about the other day. Glad to know it's covered by the method of image charges.
 
I would suggest you read the article. It's not something that is there, it's a solution method.