Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at…

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).

Solution


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

Asked in: JEE Main 2024 (06 Apr Shift 1)

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