Two infinite grounded parallel conducting planes are separated by a distance d. A point charge q is placed between the planes. Use Green's reciprocation theorem 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.)

Question

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Two infinite grounded parallel conducting planes are separated by a distance d. A point charge q is placed between the planes. Use
Green's reciprocation theorem 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.)

Image Transcription

Two infinite grounded parallel conducting planes are separated by a distance d. A point charge q is placed between the planes. Use Green's reciprocation theorem 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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