Question

Infinitely large thin plate sheet has uniform surface charge density +s. Obtain expression for amount of work done in bringing point charge q from infinity to point distant r in front of charged plane sheet. pls solve it fast.. ​

Answer 1

Answer:

Let PQRS is an infinitely plane charged sheet and +σ be the distribution of charge over the sheet.Let the charge q is bringing from infinity to the distance r from the sheet.

Then, Electric field at the distant r from the sheet

ϕ=E.△Scosθ

∴ϕ=E.△S(θ=0)----------(1)

and ϕ=ϵoσ-------------(2)

From equation (1) and (2)

E=ϵo×△Sσ

E=ϵo×2σ

We know that,

W=F.r

W=q.ϵo×2σ.r