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Q)

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 .

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A)
Answer:
Let us consider that initially the rest charge is in the stable equilibrium .
When the rest charge is taken away from the null point (i.e) $E=0$ , in any direction , it must experience a restoring force towards the null point.
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