Question

Six charges are kept at the vertices of a regular hexagon as shown in the figure. If magnitude of force applied by $+Q$ on $+q$ charge is $F$, then net electric force on the $+Q$ is $nF$. Find the value of $n$.

Answer 1

If magnitude of force applied by $+Q$ on $+q$ charge $=1$

net electric force on the $+Q$ is $nF$

When $F=\frac{1}{4\pi {ϵ}_0}\frac{q_1{q}_2}{r^2}$

$=3\times 3q=nF$

or, $n=9$