Two conducting plates \( X \) and \( Y \), each having large surface area \( A \) (on one side),...

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Two conducting plates \( X \) and \( Y \), each having large surface area \( A \) (on one side), are placed parallel to each other as shown in figure. The plate \( X \) is given a charge \( Q \) whereas the other is neutral. Find:
The surface charge density at the inner surface of the plate \( X \),
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