question_answer

Consider a system of three charges \[\frac{q}{3},\frac{q}{3}\] and \[(-)\frac{2q}{3}\]placed at points A, B and C respectively. ABC is equilateral triangle having 0 to be the centre of its circum circle of radius R .Choose correct option.

A)  the electric field at point O is \[\frac{q}{8\pi {{\varepsilon }_{0}}{{R}^{2}}}\] directed along the O  to A.

B)  the magnitude of the force between the charges at C and B is  \[\frac{{{q}^{2}}}{64\pi {{\varepsilon }_{0}}{{R}^{2}}}\]

C)  the potential at O is zero.

D)  the potential at point O  is \[\frac{q}{12\pi {{\varepsilon }_{0}}R}\]