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MHT CET 2021 (24 Sep, Shift 2) · Electric Charge & Coulomb's Law

Electric Charge & Coulomb's Law question from MHT CET 2021 (24 Sep, Shift 2)

Q54MHT CET 2021 · 24 SEP · SHIFT 2Easy

Electric Charge & Coulomb's Law

Three charges each of $+1\ \mu\text{C}$ are placed at the corners of an equilateral triangle. If the repulsive force between any two charges is $F$ , then the net force on either charge will be [ $\cos 60^\circ = 0.5$ ]

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Answer: (d)

The two forces on a charge are each $F$ , with $60^\circ$ between them.
$F_{net} = \sqrt{F^2+F^2+2F^2\cos60^\circ} = \sqrt{3F^2}$
So the answer is (d) $\sqrt3 F$ .

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