ElectrostaticsHard
Question
A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equlilibrium is q is equal to
Options
A.

B.

C.

D.

Solution
Since, q is at the centre of two charges Q and Q, net force on it is zero, whatever the magnitude and sign of charge on it.
For the equilibrium of Q, q should be negative because other charge Q will repel it. So q should attract it. Simultaneously these attractions and repulsions should be equal.
or
or with sign
∴ Correct option is (b).
For the equilibrium of Q, q should be negative because other charge Q will repel it. So q should attract it. Simultaneously these attractions and repulsions should be equal.
or
or with sign
∴ Correct option is (b).
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