Three charges

PHYSICS · Subjective · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Three charges qq, 3q3q and 12q12q are to be placed on a straight line ABAB having 12 cm12\text{ cm} length. Two of the charges must be placed at end points AA and BB and the third charge can be placed anywhere between AA and BB. Find the position of each charge if the potential energy of the system is to be minimum. In the position of minimum potential energy what is the force on the smallest charge?

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