Two infinite conducting planes are held at zero potential at z = d and z = d.

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Two infinite conducting planes are held at zero potential at z = −d and z = d. An infinite sheet with uniform charge per unit area σ is interposed between them at an arbitrary point.
(a) Find the charge density induced on each grounded plane and the potential at the position of the sheet of charge.
(b) Find the force per unit area which acts on the sheet of charge.

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