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Consider a system of three charges (q)/(...

Consider a system of three charges `(q)/(3),(q)/(3) and -(2q)/(3)` placed ar 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^(@)`. Choose the incorrect options

(1) The electric field at point O is `(q)/(8 pi epsilon_(0)R^(2))` directed along the negative x-axis
(2) The potential energy of the system is zero
(3) The potential at point O is `(q)/(12 pi epsilon_(0) R)`
(4) The magnitude of the force between the charges at C and B is `(q^(2))/(54 pi epsilon_(0) R^(2))`

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