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$\frac{q}{{\pi {\varepsilon _0}}}$
Medium
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C$\frac{q}{{2\pi {\varepsilon _0}}}$
c $\mathrm{V}= \frac{1}{4 \pi \varepsilon_{0}}\left[\frac{\mathrm{q}}{1}+\frac{\mathrm{q}}{2}+\frac{\mathrm{q}}{4}+\ldots . .\right]$
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