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

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$- \frac{4 σ}{ε_{0}} \hat{k}$

$\frac{2 σ}{ε_{0}} \hat{k}$

$- \frac{2 σ}{ε_{0}} \hat{k}$

$\frac{4 σ}{E_{0}} \hat{k}$

answer is B.

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Detailed Solution

All the three plates will produce electric field at $P$ along negative z-axis. Hence,

$E_{p} = [\frac{σ}{2 ε_{0}} + \frac{2 σ}{2 ε_{0}} + \frac{σ}{2 ε_{0}}] (- \hat{k}) = - \frac{2 σ}{ε_{0}} \hat{k}$

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