Three infinitely long charged sheets are placed as shown in the figure. The electric force acting on a charge $-q$ placed at the point $P$ is $\left(\sigma=\right.$ surface charge density, $\varepsilon_0=$ permittivity of the free space)

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Given, surface charge density $=\sigma$ permittivity of the free space $=\varepsilon_0$ Now, the electric force acting on a charge $-q$ at a place the point $P$, $ \begin{aligned} & \therefore & \mathbf{F}_P & =-\frac{\sigma q}{2 \varepsilon_0} \hat{\mathbf{k}}-\frac{2 \sigma q}{2 \varepsilon_0} \hat{\mathbf{k}}-\frac{\sigma q}{2 \varepsilon_0} \hat{\mathbf{k}} \\ & \text { or } & & =-\frac{4 \sigma q}{2 \varepsilon_0} \hat{\mathbf{k}} \text { or } \mathbf{F}_p=\frac{-2 \sigma q}{\varepsilon_0} \hat{\mathbf{k}} \end{aligned} $

Three infinitely long charged sheets are placed as shown in the figure. The electric force acting on a…

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