Question

$\begin{array}{c}\text{Three infinitely long charges sheets are placed as shown in figure. The electric field at}\\ \text{point}P\text{is}\end{array}$

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

Answer 1

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

$\begin{array}{c}E=\frac{\sigma }{2{\in }_0}\left(-\hat{k}\right)+\frac{2\sigma }{2{\in }_0}\left(-\hat{k}\right)+\left(\frac{-\sigma }{2{\in }_0}\right)\hat{k}\\ =\frac{2\sigma }{{\in }_0}\left(-\hat{k}\right)\end{array}$

Hence,

option $\left(B\right)$ is correct answer.