Question

The electric field between the plates of two oppositely charged plane sheets of charge density ${}^{\prime }{\sigma }^{\prime }$ is :

• A. $+\frac{\sigma }{2{ϵ}_0}$
• B. $-\frac{\sigma }{2{ϵ}_0}$
• C. $\frac{\sigma }{{ϵ}_0}$
• D. Zero

Answer 1

The correct option is C $\frac{\sigma }{{ϵ}_0}$

The electric field generated by charged plane sheet is uniform and not dependent on position.

It is given by: $E=\frac{\sigma }{2{ϵ}_0}$
Now, electric field between two opposite charged plane sheets of charge density $\sigma$ will be given by:
$E=\frac{\sigma }{2{ϵ}_0}-\frac{(-\sigma )}{2{ϵ}_0}=\frac{\sigma }{{ϵ}_0}$