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An infinite sheet carrying a unifom surf...

An infinite sheet carrying a unifom surface charge density `sigma` lies on the xy-plane. The work done to carry a charge q from the point
`vecA=a(hati+2hatj+3hatk)` to the point `vecB=a(hati-2hatj+6hatk)` (where a is a constant with the dimensions of length and `epsilon_(0)` is the permittivity of free space) is

A

`(3sigmaaq)/(2epsilon_(0))`

B

`(2sigmaaq)/(epsilon_(0))`

C

`(5sigmaaq)/(2epsilon_(0))`

D

`(3sigmaaq)/(epsilon_(0))`

Text Solution

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The correct Answer is:
A
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