Electric force on charge 'q' by charge Q1 is given as
F1 = k Q1 q / AB2 = (9 x 109) (6.25 x 10-9) (5.33 x 10-9) / a2 towards left eq-1
Electric force on charge 'q' by charge Q2 is given as
F2 = k Q2 q / BC2 = (9 x 109) (4.55 x 10-9) (5.33 x 10-9) / (2.37 - a)2 towards right eq-2
For Net force to be 0 ,
F1 = F2
(9 x 109) (6.25 x 10-9) (5.33 x 10-9) / a2 = (9 x 109) (4.55 x 10-9) (5.33 x 10-9) / (2.37 - a)2
(6.25 x 10-9) / a2 = (4.55 x 10-9) / (2.37 - a)2
a = 1.279 m
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