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Question

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


A
2σε0^k
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B
2σε0^k
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C
4σε0^k
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D
4σε0^k
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Solution

The correct option is A 2σε0^k
For infinitely charged plane sheet, electric field is givenby,

E=σ2ε0

Due to charge +σ, E1=σ2ε0, downwards

Due to charge +2σ, E2=2σ2ε0, downwards

Due to charge σ, E3=σ2ε0,downwards

Total electric field at P.

P=σ2ε0+2σ2ε0+σ2ε0=2σε0, downwards

E=2σε0^k


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