If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in equilibrium then the value of q is

JEE Main 2002 Physics question

If a charge is placed at the centre of the line joining two equal charges such that the system is in equilibrium then the value of is

(1)
(2)
(3)
(4)Correct

Answer: (4)

Solution

Let the charges be separated by with at the midpoint. The charge itself is always in equilibrium by symmetry. For one of the end charges to be in equilibrium, the repulsion from the other must be balanced by the force from :

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Question ID VK-037879