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Consider the charges q, q and -q placed ...

Consider the charges q, q and -q placed at the vertices of an equilateral triangle of each side l. The sum of forces acting on each charge is

Text Solution

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Force on -q is
`vec(F)=vec(F_(1))+vec(F_(2))=2F,cos30^(@)(F_(1)=F_(2))`
`=(sqrt(3)q^(2))/(4pi epsilon_(0)L^(2))`
Force on each of +q is

`vec(F)=vec(F_(1))+vec(F_(2))`
`=2F_(1)cos60^(@)(F_(1)=F_(2))`
`=2xx(q^(2))/(4pi epsilon_(0)L^(2))xx(1)/(2)`
`=(q^(2))/(4pi epsilon_(0)L^(2))`
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