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Three infinitely long charge sheets are ...

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

A

`(2 sigma)/(epsilon_0)hatk`

B

`-(2 sigma)/(epsilon_0)hatk`

C

`(4 sigma)/(epsilon_0)hatk`

D

`-(4 sigma)/(epsilon_0)hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Figure shows the electric fields due to the sheets 1, 2 and 3 at point P. The direction of electric fields are according to the charge on the sheets (away from poistively charge sheet and towards the negatively charged sheet and perpendicular).

The total electric field
`vecE=vecE_1+vecE_2+vecE_3`
`=E_1(-hatk)+E_2(-hatk)+E_3(-hatk)`
`=[(isgma)/(2epislon_0)+(2isgma)/(2epislon_0)+(isgma)/(2epislon_0)](-hatk)=-(2isgma)/(epislon_0)hatk`
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