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Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

1 Answer

The mid-point of the line joining the two charges is a null-point.
Displace a test charge from the null-point slightly along the line.
There is a restoring force.
But displace it, say, normal to the line.
You will see that the net force takes it away from the null-point.
Remember, stability of equilibrium needs restoring force in all directions.
answered Jun 4, 2014 by meena.p