1.

Three chargesq,-2q andqareplacedatthreevertices ofanequilateraltriangle.Determinethe equivalentdipolemomentof the system.

Answer»

Solution :The givensystemisacombination at twodipolesat an angle` 60 ^@ `with eachother.

Letthe dipole moment of onedipoleis`p _ 1`and thatofanotherdipolesis` p _ 2` , thelengthof eachside of theequilateraltriangleisa.
`THEREFORE ` Equivalentdipolemoment,
` p =p _ 1cos 30 ^@+p _ 2COS 30^@`
[` because ` since COMPONENTS canceleachother ]
`= 2qa cos 30 ^@ ""[ becausep _ 1=p _ 2= qa ]`
`=2q axx( SQRT3 ) /( 2 )=sqrt 3 qa `


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