A charge ' q ' is placed at the centre of the line joining two equal charges ' Q '. The system of three charges will be in equilibrium if ' q ' is equal to:NEET 2013 (Kar

Question

A charge ' q ' is placed at the centre of the line joining two equal charges ' Q '. The system of three charges will be in equilibrium if ' q ' is equal to:NEET 2013 (Karnataka)

TestHub · Accepted Answer

According to the question for equilibrium, net force on charge Q = 0 ∴ 4 π ϵ 0 ​ 1 ​ r 2 Qq ​ + 4 π ϵ 0 ​ 1 ​ ⋅ σ ( 2 r ​ ) 2 Q 2 ​ = 0 ⇒ ⇒ ⇒ ​ ​ 4 π ϵ 0 ​ 1 ​ r 2 Q 2 ​ ​ Q q ​ = − 4 π ϵ 0 ​ 1 ​ r 2 4 Q q ​ = − 4 q = − 4 Q ​ ​

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