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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) hat(k)`

B

`-( sigma)/epsilon_(0) hat(k)`

C

`(4 sigma)/epsilon_(0) hat(k)`

D

`-(4 sigma)/epsilon_(0) hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
All the three plates will produce electric field at P along negative z-axis. Hence,
`vec(E)_(p)=[sigma/(2epsilon_(0))+(2sigma)/(2epsilon_(0))+sigma/(2epsilon_(0))](-hat(k))=-(2sigma)/epsilon_(0)hat(k)`
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