Question 69 of 311

Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point $P$ is $\frac{x \sigma}{\epsilon_o}$. The value of $x$ is _______ (all quantities are measured in SI units).

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Answer: 2

$\begin{aligned} \overrightarrow{\mathrm{E}}_{\mathrm{p}} & =\left(\frac{\sigma}{2 \varepsilon_0}+\frac{2 \sigma}{2 \varepsilon_0}+\frac{\sigma}{2 \varepsilon_0}\right)(-\hat{\mathrm{i}}) \\ & =-\frac{2 \sigma}{\varepsilon_0} \hat{\mathrm{i}}\end{aligned}$