Question

Three charges each equal to 1 µC are placed at the comers of an equilateral triangle. If the force between any two charges is F, then the net force on either will be ______

Options

• `sqrt3`F

• `sqrt2`F

• 3F

• F/3

Answer 1

Three charges each equal to 1 µC are placed at the comers of an equilateral triangle. If the force between any two charges is F, then the net force on either will be `underline(sqrt3"F")`.

Explanation:

Each charge is subjected to two forces that are 60° inclined.

Therefore,

R = `sqrt("F"^2 + "F"^2 + 2"FF"cos60^circ) = sqrt(3"F"^2) = sqrt3"F"`