Question

Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

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

Answer 1

Answer: (B)

$\vec{ E }_{ P }=\frac{\sigma}{2 \varepsilon_{0}}(-\hat{ k })+\frac{(-2 \sigma)}{2 \varepsilon_{0}}(\hat{ k })+\frac{(-\sigma)}{2 \varepsilon_{0}}(\hat{ k })$
$=\frac{-2 \sigma \hat{ k }}{\varepsilon_{0}}$