Eight equal charges $q$ are placed at each corner of a cube of side $a$. The work done in carrying a charge $-q$ from its centre to infinity is:

  • A
    zero
  • B
    $\frac{3 \sqrt{2} q^2}{\pi \epsilon_0 a}$
  • C
    $\frac{\sqrt{2} q^2}{\pi \epsilon_0 a}$
  • D
    $\frac{4 q^2}{\sqrt{3} \pi \epsilon_0 a}$

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