Question

Three infinitely charged sheets are kept parallel to x-plane having charge densities as shown. Then, the value of electric field at '$P$' is

• A. $\frac{-4\sigma }{{\epsilon }_0}\hat{k}$
• B. $\frac{4\sigma }{{\epsilon }_0}\hat{k}$
• C. $\frac{-2\sigma }{{\epsilon }_0}\hat{k}$
• D. $\frac{2\sigma }{{\epsilon }_0}\hat{k}$

Answer 1

The correct option is C $\frac{-2\sigma }{{\epsilon }_0}\hat{k}$

$E_P=\frac{\sigma }{{2\epsilon }_0}(-\hat{k})+\frac{-2\sigma }{{2\epsilon }_0}\hat{k}+\frac{-\sigma }{{2\epsilon }_0}\hat{k}$
$=\frac{-2\sigma }{{\epsilon }_0}\hat{k}$