Question

The electric field on two sides of a thin sheet of charge is shown in the figure. The charge density on the sheet is :

• A. $2{\epsilon }_0$
• B. $4{\epsilon }_0$
• C. $10{\epsilon }_0$
• D. zero

Answer 1

The correct option is B $4{\epsilon }_0$

If $E$ be the external field towards right then,

$E-\frac{\sigma }{2{ϵ}_0}=E_1=8...\left(1\right)$ and

$E+\frac{\sigma }{2{ϵ}_0}=E_2=12...\left(2\right)$

$\left(2\right)-\left(1\right),\frac{\sigma }{{ϵ}_0}=4\Rightarrow \sigma =4{ϵ}_0$