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A grounded conducting sphere of radius R is centered at the origin and is in a...

A grounded conducting sphere of radius R is centered at the origin and is in a uniform electric field E = E0 z. Find an expression for the potential outside the sphere, i.e. for r > R. Find an expression for the induced charge density on the surface of the sphere . If the sphere is now disconnected from ground and there is an additional charge Q placed on the sphere, what is the new expression for the potential?

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