Two parallel conducting plates carry equal and opposite charges. The plates are large relative to their separation distance, so we can assume the electric field between them is uniform. The potential difference between them is \(0.25 \mathrm{~V}\), and the magnitude of the electric field between them is \(50 \mathrm{~V} / \mathrm{m}\).

(a) What is the surface charge density on the plates?

(b) What is the separation distance?

(c) How much work is done by the electric field on an electron as it moves from the negative plate to the positive plate?