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A and B are two large identical thin metal plates placed parallel to each other at a small separation. Plate A is given a charge Q. (i) Find the amount of charge on each of the two faces of A and B. (ii) Another identical plate C having charge 3Q is inserted between plate A and B such that distance of C from B is twice its distance from A. Plate A and B is shorted using a conducting wire. Find charge on all six faces of plates A, B and C. (iii) In the situation described in (ii) the plate A is grounded. Now write the charge on all six faces.

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