Three charges each of charge ‘q’ are placed at the corners of an e

Question

Three charges each of charge ‘q’ are placed at the corners of an equilateral triangle. The fourth charge to be placed at the centre of the triangle so that electrostatic potential energy of the system is zero is

Options:

A . q√3

B . −q√3

C . q

D . −q√2

Answer: Option B
:
B
PE=0

3 \frac{1}{4 π ϵ_{0}} \frac{q^{2}}{a} + 3 \frac{1}{4 π ϵ_{0}} \times \frac{q x}{(\frac{a}{\sqrt{3}})} = 0 \sqrt{3} x = - q x = - \frac{q}{\sqrt{3}}

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