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Two large, parallel conducting plates are joined by a wire, as shown above, so that they are at the same potential.

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.

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