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The system of four point charges are arr...

The system of four point charges are arranged to be in equilibrium (see figure) under only mutual elestrostatic forces. Find magnitude of `Q` (in `muC`). (Neglect gravity)

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The correct Answer is:
1

`F_(2)-2F_(1)cos30^(@)=0`
`implies(K(q)(Q))/(R^(2))=(2(Kq^(2))/((sqrt(3)R)^(2))) cos 30^(@)`
`Q=q/(sqrt(3))=(sqrt(3))/(sqrt(3))muC=1muC`
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