Consider a system of there charges $\frac{q}{3},\,\frac{q}{3}$ and $-\frac{2q}{3}$ placed at point $A, B$ and $C,$ respectively, as shown in the figure. Take $O$ to be the centre of the circle of radius $R$ and $\angle CAB\, = \,{60^o}$
Consider a system of there charges $\frac{q}{3},\,\frac{q}{3}$ and $-\frac{2q}{3}$ placed at point $A, B$ and $C,$ respectively, as shown in the figure. Take $O$ to be the centre of the circle of radius $R$ and $\angle CAB\, = \,{60^o}$
- A
The electric field at point $O$ is $\frac{q}{{8\pi { \in _0}{R^2}}}$ directed along the negative $x-$ axis
- B
The Potential energy of the system is zero
- C
The magnitude of the force between the charges at $C$ and $B$ is $\frac{{{q^2}}}{{54\pi { \in _0}{R^2}}}$
- D
The potential at point $O$ is $\frac{q}{{12\pi { \in _0}R}}$
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