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

Transcribed Image Text:

y(r) = 9 4лEO -f([r]).