2.2D: Large Plane Charged Sheet

The field at a distance \(r\) from a large charged sheet carrying a charge \(σ\) coulombs per square metre is \(\frac{\sigma}{2\epsilon_0}\). Therefore the potential difference between two points at distances \(a \text{ and }b\) from the sheet \((a < b)\) is

\[V_a-V_b = \frac{\sigma}{2\epsilon_0}(b-a).\tag{2.2.7}\]