1.

Considerthe chargesq,q and -q placed at the verticesof an equilateraltrianglewhat is the force on each charge

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Solution :The forces actingon CHARGE q at a due to charges q at B and -q at c are `F_(12)`along BA and `F_(13)` along AC respectivelyq at a is GIVEN by
the force of attaraction or repulson for each pari of charges has THESAME magnitude `F=(q^(2))/(4piepsilon_(0)l^(2))`
The totalforce `f_(2)` on chargeq at b is thus `f_(2)` =f `vecr_(2)`where `vecr_(2)` is a unit vectoralong AC
`F_(1)+F_(2)+F_(3)=0`
The result is not at all surprisingit follows straightfrom the fact that colulomb law is consistent with newton THRID law the proof is left to you as an exercise


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