Three equal charges (q) are placed at corners of an equilateral triangle of side a . The force on any charge is

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Three equal charges (q) are placed at corners of an equilateral triangle of side $a$. The force on any charge is

PhysicsElectrostaticsBITSATBITSAT 2013

Options:

A zero
B $\sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrm{a}^{2}}$
C $\frac{\mathrm{Kq}^{2}}{\sqrt{3} \mathrm{a}^{2}}$
D $3 \sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrm{a}^{2}}$

Solution:

2550 Upvotes Verified Answer

The correct answer is: $\sqrt{3} \frac{\mathrm{Kq}^{2}}{\mathrm{a}^{2}}$

$\mathrm{F}_{\text {net }}=\sqrt{\mathrm{F}^{2}+\mathrm{F}^{2}+2 \mathrm{~F}^{2} \cos 60^{\circ}}=\sqrt{3} \mathrm{~F}$

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