The square region defined by a x a and a y a in

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The square region defined by −a ≤ x ≤ a and −a ≤ y ≤ a in the plane z = 0 is a conductor held at potential ϕ = V. The rest of the plane z = 0 is a conductor held at potential ϕ = 0. The plane z = d is also a conductor held at zero potential. Use Green’s reciprocity relation to find the total charge induced on the entire z = 0 plane.

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