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Four equal charges Q are placed at the f...

Four equal charges `Q` are placed at the four corners of a square of each side is 'a'. Work done in removing a charge `-Q` from its centre to infinity is

A

zero

B

`(sqrt2Q^(2))/(pi epsi_(0)a)`

C

`(sqrt2Q)/(pi epsi_(0)a)`

D

`(Q^(2))/(pi epsi_(0)a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Potential at the centre O of the square due to four equal charges Q at four corners
`V="4Q"/(4piepsilon_0(a//sqrt2)//2)=(sqrt2Q)/(piepsilon_0a)`
`W_(0 to oo) =-W_(oo to 0) = -(-Q)V=(sqrt2Q^2)/(piepsilon_0a)`
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