Question

Three charges each equal to +2C 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. 3F
• B. 2F
• C. $\sqrt{2}F$
• D. $\sqrt{3}F$

Answer 1

Answer: (D)

$\sqrt{3}F$

Answer 2

Each charge will experience two forces each of magnitude F inclined at an angle of 60⁰. Their resultant is given by $\left\lbrack F^{2} + F^{2} + 2F^{2}\cos 60^{0} \right\rbrack^{1/2} = \sqrt{3}F$