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There is an infinite, uniformly charged circular sheet with a circular hole in its center. The...

There is an infinite, uniformly charged circular sheet with a circular hole in its center. The charge per unit area is σ. The radius of the hole is R. (If you need to, you can describe the radius R∞, which you then take to infinity.) Point charge q moves from above the hole, at height Z, downwards to the center of the hole, at z = 0. Find the change in electrostatic potential energy of the point charge. Give your result in terms of R, q, σ, Z and any fundamental constants.

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