In: Physics
Given an infinite sheet of charge occupying the x-y plane such that the charge density is constant and uniform, find the electric field at any point on the z-axis by:
A) Using the point charge formula for the electric field directly in cartesian coordinates.
B) Using the point charge formula for the electric field directly in cylindrical coordinates.
C) Using the point charge formula for potential in cylindrical coordinates and taking the gradient.
DO NOT USE GAUSS'S LAW