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 (b) Use the result of part (a) to show that the associated electric field is y(r) 9 4EO f( r )

Question: 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

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): y(r) = 9 4EO -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

y(r) = 9 4EO -f([r]).

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