Suppose that the electrostatic potential produced by a point charge was not Coulombic, but instead varied with
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Suppose that the electrostatic potential produced by a point charge was not Coulombic, but instead varied with distance in a manner determined by a specified scalar function f (r):
(a) Calculate the potential produced by an infinite flat sheet at z = 0 with uniform charge per unit area σ.
(b) Use the result of part (a) to show that the associated electric field is
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