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Derive an expression for potential energy of a system of three charges in the absence of external electric field. |
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Answer» Solution :Consider pointcharges `q_(1),q_(2),q_(3)` let `r_(12),r_(23),r_(31)` be the DISTANCE between `q_(1),q_(2),q_(3),q_(1)` RESPECTIVELY the potential energy between `q_(1)` & `q_(2)`will be similary `U_(2)=(1)/(4 pi epsilon_(0)).(q_(2)q_(3))/(r_(23))` between`q_(2)` and `q_(3)` totoalenergy of the system as a resultof assembiling the charge `U=U_(1)+U_(2)+U_(3)` `U=(1)/(4pi epsilon_(0))(q_(1)q_(2))/(r_(12))+(q_(2)q_(3))/(r_(23))+(q_(3)q_(1))/(r_(31))` |
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