Two large, parallel conducting plates are joined by a wire, as shown above, so that they are at the same potential. Between the plates, at a distance a from the upper plate and a distance b from the lower plate, is a thin, uniformly charged sheet whose charge per unit area is The electric fields between the plates above and below the sheet have magnitudes El and E2, respectively.
a. Determine the ratio E1/E2 so that the potential difference between the outer plates is zero.
b. The Gaussian surface in the diagram immediately below has faces of area A parallel to the charged sheet. By applying Gauss's law to this surface, develop a relationship among El, E2, a, and any appropriate fundamental constants.