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The following is a problem I have been having a difficult time with. Please see attached file for a diagram to help with the problems.

A charge q is placed between two grounded infinite parallel conducting planes which are a distance "d" apart (see figure attached).             Let ε_r = 1.

a) For |a_1| ≠ |a_2| find the electric potential "V" between the plates. Give V in terms of q, a_1, a_2, d, and r. Use boundary conditions to check your answer.

b) For |a_1| = |a_2| find the potential "V" in terms of q, d, and r.

Please provide a reference if possible.

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