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. $\frac{-4 \sigma}{\varepsilon_{0}} \hat{ k }$
• B. $\frac{4 \sigma}{\varepsilon_{0}} \hat{ k }$
• C. $\frac{-2 \sigma}{\varepsilon_{0}} \hat{ k }$
• D. $\frac{2 \sigma}{\varepsilon_{0}} \hat{ k }$

Answer 1

Answer: (C)

$E_{p} \left.=\frac{\sigma}{2 \varepsilon_{0}}(-\hat{ k })+\frac{(-2 \sigma)}{2 \varepsilon_{0}} \hat{( k )}+\frac{(-\sigma)}{2 \varepsilon_{0}} \hat{ k }\right) $
$=\frac{-2 \sigma}{\varepsilon_{0}} \hat{ k } $