Charges `+q` and `-q` are placed at points `A` and `B` respectively which are a distance `2L` apart, `C` is the midpoint between `A` and `B`. The work done in moving a charge `+Q` along the semicircle `CRD` is A. `(q Q)/(2pi in_(0) L)`B. `(q Q)/(6pi in_(0) L)`C. `(-q Q)/(6pi in_(0) L)`D. `(q Q)/(4pi in_(0) L)`

Charges `+q` and `-q` are placed at points `A` and `B` respectively wh

1.	Charges `+q` and `-q` are placed at points `A` and `B` respectively which are a distance `2L` apart, `C` is the midpoint between `A` and `B`. The work done in moving a charge `+Q` along the semicircle `CRD` is A. `(q Q)/(2pi in_(0) L)`B. `(q Q)/(6pi in_(0) L)`C. `(-q Q)/(6pi in_(0) L)`D. `(q Q)/(4pi in_(0) L)`
Answer» Correct Answer - C As is clear from Fig, `V_(C) = 0`, `V_(D) = (q)/(4pi in_(0) (3L) - (q)/(4pi in_(0) L)) = (-q)/(6pi in_(0) L)` `W_(CDR) = Q (V_(D) - V_(C)) = (-qQ)/(6pi in_(0) L)`

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