Electrostatic screening

Abstract
Using the methods of partial differential equations and functional analysis, we investigate the electric field in the presence of a screen composed of wires of radius r spaced at distance R spread over a surface S. In the limit as r and R converge to zero if [R lnr]−1 → −∞, the field in the presence of the screen converges to the field with a conducting sheet spread over S. If [R lnr]−1 → 0, the field

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