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Q.

Three infinitely long charge sheets are placed which charge density as shown in figure. The electric field at point P is :–

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a

$\frac{4 σ}{ε_{0}} \hat{k}$

b

$- \frac{4 σ}{ε_{0}} \hat{k}$

c

$- \frac{2 σ}{ε_{0}} \hat{k}$

d

$\frac{2 σ}{ε_{0}} \hat{k}$

answer is B.

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Detailed Solution

detailed_solution_thumbnail

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

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

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