Question

Three charges each of 1 micro coulomb are placed at the corners of an equilateral triangle. If the force between any two charges is F, then the net force on each charge is
1. √2 F
2. 3F
3. √3 F
4. 2 F

Answer 1

Explanation:

The force experienced by q₃ charge due to the rest of the two charges is F₃. Three charges and the distance between the charges are same then the force will be same . Hence, The net coulomb force experienced by one charge due to the rest of the two is√3 F.

I hope this may help you

Answer 2

Given info : three charges each of 1μC are placed at the corners of an equilateral triangle. if the force between any two charges is F.

To find : the net force on each charge is ..

solution : let ABC is an equilateral triangle and three charges each of 1μC are placed at the corners of this equilateral triangle.

given, the force between any two charges is F.

∴ $F_{AB}=F_{BC}=F_{CA}=F$

∴ the net force acting on each charge will be same. let's find the net force on the point A

here , angle between the force acting on charge A due to B ,  $F_{AB}$ and the force acting on A due to C,  $F_{AC}$ is 60°.

now the net force, F= $\sqrt{F_{AB}^2+F_{AC}^2+2F_{AB}F_{AC}cos60^{\circ}}$

= $\sqrt{F^2+F^2+2F.Fcos60^{\circ}}$

= $\sqrt{3}F$

therefore the net force on each charge is $\sqrt{3}F$