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Four charges equal to -Q are placed at t...

Four charges equal to -Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium , the value of q is

A

` (-Q)/( 4) ( 1+ 2sqrt2) `

B

` (Q)/(4) (1+ 2sqrt2) `

C

` (-Q)/(2) (1+ 2 sqrt2) `

D

` (Q)/(2) (1+ 2sqrt2) `

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