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I can't seem to figure out how to apply Gauss's law to a uniformly charged cube(side length a), charge density = rho = Q/a^3. Here's the problem: I have a uniformly charge cube, of side length 'a,' with total charge Q which has a conductor on two oppossing faces. I want to know the electric field along a line which travels from the center of one of the conductior faces straight through the cube to the center of the opposing face which has a conductor on it. The text (Liboff's quantum mechanics text) says to use Gauss's law. But I don't see how. Let's assume that instead of a cube I have an infinite sheet of charge of finite thickness 'a.' I then use a pill box with one side in the conductor and the other side in the medium. But this gives me the incorrect answer of E = rho*x/epsilon. I think I should get a potential proportional to z^2 where z is the distance from the center along a line perpendicular to the conducting surface.
Any thoughts?
Thanks
Pete
Any thoughts?
Thanks
Pete