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Solutions to Problems in Jackson, Classical ...
(b) The point of this problem is that, for points above the zaxis, it doesn’t matter whether there is a charge qat (0;0;d) or an in nite grounded sheet at z= 0. Physics above the zaxis is exactly the same whether we have the charge or the sheet. In particular, the force on the original charge is the same whether we have the charge or the sheet.
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