Grounded-plate potential of a central charged sheet (source code)

= Grounded-plate potential of a central charged sheet
{title2=$V_{\rm sheet}=\sigma d/(4\epsilon_0)$}

An ideal infinite sheet midway between parallel grounded plates has equal fields of magnitude $\sigma/(2\epsilon_0)$ on its two sides, directed from positive sheet charge toward the plates. Integrating over the half-separation d/2 gives the displayed <electric potential>. Each plate carries induced inner-face <surface charge density> $-\sigma/2$. The potential is triangular between the plates, and the field jumps by $\sigma/\epsilon_0$ across the sheet. Edge fields are excluded.