Question

Potential at the centroid of an equilateral triangle of side ‘a’, when equal charges each of magnitude ‘Q’ are placed at the vertices of the triangle is?

• A. $Zero$
• B. $\frac{1}{4\pi {ϵ}_0}\frac{3Q}{a}$
• C. $\frac{1}{4\pi {ϵ}_0}\frac{3\sqrt{3}Q}{a}$
• D. $\frac{1}{4\pi {ϵ}_0}\frac{Q}{\sqrt{3}a}$

Answer 1

The correct option is C $\frac{1}{4\pi {ϵ}_0}\frac{3\sqrt{3}Q}{a}$

$V^1=V_1+V_2+V_3;V_1=V_2=V_3$
$=3V_1$
$=3\frac{1}{4\pi {ϵ}_0}\frac{Q}{\frac{a}{\sqrt{3}}}$
$=\frac{1}{4\pi {ϵ}_0}\frac{3\sqrt{3Q}}{a}$