Question

Two infinite sheets of uniform charge density $+\sigma$ and $-\sigma$ are parallel to each other as show in figure. Electric field at the

• A. points to the left or to the right of the sheets is zero.
• B. midpoint between the sheets is zero.
• C. midpoint of the sheets is $\sigma /{\epsilon }_0$ and is directed towards right.
• D. midpoint of the sheets is $2\sigma /{\epsilon }_0$ and is directed towards right.

Answer 1

Answer: (A), (C)

The correct options are
A points to the left or to the right of the sheets is zero.
C midpoint of the sheets is $\sigma /{\epsilon }_0$ and is directed towards right.

Electric field due to charge sheet for charge density $+\sigma$ is $E=\frac{+\sigma }{2{ϵ}_0}$ and for $-\sigma$ is $E=\frac{-\sigma }{2{ϵ}_0}$

outside the plates field is $E=\frac{+\sigma }{2{ϵ}_0}+\frac{-\sigma }{2{ϵ}_0}=0$

between the plates field is $E=\frac{\sigma }{2{ϵ}_0}+\frac{\sigma }{2{ϵ}_0}=\frac{\sigma }{{ϵ}_0}$

Ans: (A),(C)