(Answered) Te green reciprocation theorem also attached it take from

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The Green reciprocation theorem also attached. it take from " Classical Electrodynamic 3rd by Jackson"

Two infinite grounded parallel conducting planes are separated by a distance d. A point charge q is placed between the planes.

Use the reciprocation theorem of Green to prove that the total induced charge on one of the planes is equal to (-q) times the fractional perpendicular distance of the point charge from the other plane.

(Hint: As your comparison electrostatic problem with the same surfaces choose one whose charge densities and potential are known and simple.)

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