Question

The electric field at a point near an infinite thin sheet of charged
conductor is :
(a) Eo o (b)
1.
olu
(c) 2 60
(a) zce,​

Answer 1

Hyy Dude

▓█►─═ Ans : E = σ/2ε₀

first understand what is difference between sheet and plate in electrostatic ?

sheet => both side charge

plate => one side charge

here , mentioned sheet , then surely charge will appear in both side of conductor .

now, Use the Gauss concept for finding electric field .

Let Q present in charged sheet conductor .

because , I clearify that both side charge presents in sheet .

so, each side charge share = Q/2

so, each side charge share = Q/2 now, Gauss formula,

Φ = Qnet/2ε₀

here , Qnet at one side = Q/2

also we know, Φ { electric flux near the surface of sheet } = E{electric field near the surface} × A { cross section Area of gaussian surface is chosen by us }

so, EA = Q/2ε₀

E = Q/2Aε₀= {Q/A}/2ε

we know, Q/A = surface charge density = σ

we know, Q/A = surface charge density = σE = σ/2ε₀

hence, electric field at a point near an infinite sheet of charged conductor is σ/2ε₀ ═─◄█▓

Hope it's helps you ✨