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).

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