Electrostatic screening

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 fieldPeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/69435/2/JMAPAQ-16-2-284-1.pd