Question

Six charges of magnitude +q and -q are fixed at the corners of a regular hexagon of edge length a as shown in the figure. The electrostatic interaction energy of the charged particles is :

• A. $\frac{q^2}{\pi {ϵ}_{0}a}[\frac{\sqrt{3}}{8}-\frac{15}{4}]$
• B. $\frac{q^2}{\pi {ϵ}_{0}a}[\frac{\sqrt{3}}{2}-\frac{9}{4}]$
• C. $\frac{q^2}{\pi {ϵ}_{0}a}[\frac{\sqrt{3}}{4}-\frac{15}{2}]$
• D. $\frac{q^2}{\pi {ϵ}_{0}a}[\frac{\sqrt{3}}{2}-\frac{15}{8}]$

Answer 1

The correct option is C $\frac{q^2}{\pi {ϵ}_{0}a}[\frac{\sqrt{3}}{4}-\frac{15}{2}]$