If identical charges $( - q)$ are placed at each corner of a cube of side $b$, then electric potential energy of charge $( + q)$ which is placed at centre of the cube will be

  • [AIPMT 2002]
  • A

    $\frac{{8\sqrt 2 {q^2}}}{{4\pi {\varepsilon _0}b}}$

  • B

    $\frac{{ - 8\sqrt 2 {q^2}}}{{\pi {\varepsilon _0}b}}$

  • C

    $\frac{{ - 4\sqrt 2 {q^2}}}{{\pi {\varepsilon _0}b}}$

  • D

    $\frac{{ - 4{q^2}}}{{\sqrt 3 \pi {\varepsilon _0}b}}$

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  • [AIEEE 2002]