Question: Maintain the plane z = 0 at potential V and introduce a grounded conductor somewhere into the space z > 0. Use the magic rule

Maintain the plane z = 0 at potential V and introduce a grounded conductor somewhere into the space z > 0. Use the “magic rule” for the Dirichlet Green function to find the charge density σ(x, y) induced on the z = 0 plane by the charge σ₀(r) induced on the surface S₀of the grounded conductor.

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