Question

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 either will be :

• A. 3 F
• B. 2 F
• C. $\sqrt 2F$
• D. $\sqrt 3F$

Answer 1

Answer: (D)

$\sqrt 3F$

Answer 2

Each charge will experience two forces each of magnitude F inclined to each other at $60^{\circ}$. Their resultant will be : [$F^2 + F^2 + 2 \, F^2 \, cos 60^{\circ}] \, \frac{1}{2} = \sqrt{3}$ F.