Question

Two thin infinite parallel sheets have uniform surface densities of charge $+\sigma$ and $-\sigma .$ The value of $E$ in the space outside the sheets is:

• A. $\frac{\sigma }{{ϵ}_0}$
• B. $\frac{\sigma }{2{ϵ}_0}$
• C. zero
• D. $\frac{2\sigma }{{ϵ}_0}$

Answer 1

Answer: (C)

zero

The Electric field in outside region is zero as the electric fields due to the two sheets cancel out each other. If the two sheets have equal and opposite uniform surface densities of charge i.e., σ1 = σ and σ2 = – σ. Then the electric field outside the sheet is zero.