Question

An infinitely large thin plane sheet has a uniform surface charge density σ. Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point, distant r, in front of the charged plane sheet.

Answer 1

Surface charge density of the uniform plane sheet which is infinitely large = + α. The electric potential (V) due to infinite sheet of uniform charge density + σ

V = σr/2ε₀

The amount of work done in bringing a point charge q from infinite to point, at distance r in front of the charged plane sheet.