Two parallel conducting plates are \(0.10 \mathrm{~m}\) apart and carry equal and opposite charges. They are large enough relative to the \(0.10-\mathrm{m}\) separation distance that we can assume the electric field between them is uniform. The potential difference between them is \(500 \mathrm{~V}\). An electron is released from rest at the negative plate.

(a) Draw the electric field between the plates, indicating the sign of the charge on each plate and which plate is at the higher electrostatic potential.

(b) What is the magnitude of the electric field between the plates?

(c) What is the change in the potential energy of the system comprising the plates and the electron when the electron moves from the negative plate to the positive plate?

(d) How much work is done by the electric field on the electron as it makes this trip?

(e) What is the electron's kinetic energy when it reaches the positive plate?