# there identical charges are placed at the corners of an equilateral triangle ABC, having each side A. if the force between any two charges is F, then find the net force on each charge

Dear Student,

Each charge experiences two forces each of magnitude F inclined at an angle of 600. Their resultant is given by :
${\mathrm{F}}_{\mathrm{net}}=\sqrt{{\mathrm{F}}^{2}+{\mathrm{F}}^{2}+2{\mathrm{F}}^{2}\mathrm{cos}60°}\phantom{\rule{0ex}{0ex}}{\mathrm{F}}_{\mathrm{net}}=\sqrt{{\mathrm{F}}^{2}+{\mathrm{F}}^{2}+2{\mathrm{F}}^{2}×\frac{1}{2}}\phantom{\rule{0ex}{0ex}}{\mathrm{F}}_{\mathrm{net}}=\sqrt{3{\mathrm{F}}^{2}}=\sqrt{3}\mathrm{F}$

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