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PhysicsQ&A Library(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. (b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.Question

Asked Jan 28, 2020

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(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable. (b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.

Step 1

a.

when we place a test charge which is in equilibrium is changed from its position, there would form a restoring force in the direction towards null point having zero electric field. The direction of the field lines near the null point will be towards the null point as like directed inwards. Since the...

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