Question 866: Electrostats & Capacitance

Question

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

Accepted Answer

The force on any charge due to each of the other two charges has magnitude F.
The angle between the two forces is $$60^{\circ}$$.
Hence the resultant force is given by
$$R=\sqrt{F^2+F^2+2 F^2 \cos 60^{\circ}}=\sqrt{3} F$$

Answer

$$2 \mathrm{F}$$

Answer

$$3 \mathrm{F}$$

Answer

$$\sqrt{2} \mathrm{~F}$$

Answer

$$\sqrt{3} \mathrm{~F}$$

Electrostats & Capacitance

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

Choose the correct answer: