Potential distribution in a capacitor. A parallel plate capacitor, with plate area 10 mm x 10 mm and distance between plates of 2 mm, contains between its plates a dielectric with permittivity ε = 4ε0. The potential difference between the plates is 5 V. Suppose the plate at x = 0 is at zero potential, the plate at x = 0.002 m is at 5 V. Find V(x) everywhere assuming there are no edge effects.