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

  • [AIEEE 2004]
  • A

    $ - \frac{Q}{4}(1 + 2\sqrt 2 )$

  • B

    $\frac{Q}{4}(1 + 2\sqrt 2 )$

  • C

    $ - \frac{Q}{2}(1 + 2\sqrt 2 )$

  • D

    $\frac{Q}{2}(1 + 2\sqrt 2 )$

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