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Electrostatic Potential And Capacitance

Question

Equal charges q each are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric intensity at the centre is
$\frac{q}{4 {πε}_{0} a^{2}}$
$\frac{\sqrt{2} q}{4 {πε}_{0}^{2}}$
$\frac{\sqrt{3} q}{4 {πε}_{0} a^{2}}$
$\frac{2 q}{4 {πε}_{0} a^{2}}$

Solution

\frac{q}{4 {πε}_{0} a^{2}}