Four electric charges $+q,+q, -q$ and $-q$ are placed at the comers of a square of side $2L$ (see figure). The electric potential at point $A,$ midway between the two charges $+q$ and $+q,$ is

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  • [AIPMT 2011]
  • A

    $\;\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{L}\left( {1 + \sqrt 5 } \right)$

  • B

    $\;\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{L}\left( {1 + \frac{1}{{\sqrt 5 }}} \right)$

  • C

    $\;\frac{1}{{4\pi {\varepsilon _0}}}\frac{{2q}}{L}\left( {1 - \frac{1}{{\sqrt 5 }}} \right)$

  • D

    zero

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  • [JEE MAIN 2019]