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.)
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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Transcribed Image Text:1.13 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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