Question

Three infinitely charged sheets are kept parallel to $x-y$ 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

Answer: (C)

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