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A, B and C are three large sheets having charge densities $+ 3 σ C / m^{2}, - σ C / m^{2}$ and $+ 2 σ C / m^{2}$ respectively. Then electric field at P is

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$- \frac{σ}{2 \in_{0}} \hat{i}$

$\frac{σ}{\in_{0}} \hat{i}$

$\frac{3 σ}{2 \in_{0}} \hat{i}$

answer is A.

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Detailed Solution

${\vec{E}}_{P} = \frac{2 σ}{2 \in_{0}} \hat{i} + \frac{(- σ)}{2 \in_{0}} \hat{i} + \frac{2 σ}{2 \in_{0}} (- \hat{i}) = 0$

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