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  4. Three charges each equal to +2 C, are placed at the corners of an equilateral triangle. If the force between any two charges be F, then the net force on a single charge will be

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Q. Three charges each equal to $+2 C$, are placed at the corners of an equilateral triangle. If the force between any two charges be $F$, then the net force on a single charge will be

Electric Charges and Fields

Solution:

$ F_{\text {net }}=\sqrt{F^{2}+F^{2}+2 F \cdot F \cdot \cos 60^{\circ}}$
$=\sqrt{F^{2}+F^{2}+2 F^{2}\left(\frac{1}{2}\right)}$
$=\sqrt{3 F^{2}}=F \sqrt{3}$
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