Question

Electric field intensity at points in between and outside two thin separated parallel sheets of infinite dimension with like charges of same surface charge density ($\sigma$) are ______ and ______ respectively

• A. $\sigma /{ϵ}_0,\sigma /{ϵ}_0$
• B. $0,\sigma /{ϵ}_0$
• C. $0,0$
• D. $\sigma /{\epsilon }_0,0$

Answer 1

The correct option is B $0,\sigma /{ϵ}_0$

The electric field inetensity due to the long sheet of charge is given by:

$E_1=E_2=\frac{\sigma }{2{ϵ}_0}$

The electriic field intensity between plates

$E_{in}=E_1-E_2$

$\Rightarrow E=0$

The electric field intensity outside plates
$E_{out}=E_1+E_2$

$\Rightarrow E=\frac{\sigma }{{ϵ}_0}$