Two charges of magnitude $+ q$ and $-\,3q$ are placed $100\,cm$ apart. The distance from $+ q$ between the charges where the electrostatic potential is zero is.......$cm$
AIIMS 2011, Medium
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Suppose $\mathrm{x}$ is the required distance from $\mathrm{q}$. then
$\frac{1}{4 \pi \varepsilon_{0}}\left[\frac{9}{x}+\frac{(-3 q)}{1-x}\right]=0$
After solving for $x,$ we get $x=\frac{1}{4} \,m$
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