An infinite number of charges each numerically equal to q and of the same sign are placed along the $x-$ axis at $x = 1,2,4,8.... \,metres$. Then the electric potential at $x = 0$ due to this set of charges is

  • A

    $\frac{q}{{4\pi {\varepsilon _0}}}$

  • B

    $\frac{q}{{3\pi {\varepsilon _0}}}$

  • C

    $\frac{q}{{2\pi {\varepsilon _0}}}$

  • D

    $\frac{q}{{\pi {\varepsilon _0}}}$

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  • [IIT 2012]