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Four point charges are respectively plac...

Four point charges are respectively placed at the corners A, B, C and D of a square of side a. If F is the mid-point of side CD, the work done in carrying an electron of charge from O [the centre of the square] to F fill be:

A

`(qe)/(pi epsi_(0)a)(1-(1)/sqrt(5))`

B

`(qe)/(pi epsi_(0) a) (1+(1)/(sqrt(5)))`

C

`(qe)/(pi epsi_(0)a)`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
B
`W=-e[V_f-V_0]= (qe)/(pi e_0 a)[1-1/sqrt5]`
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