Two charged particles attract each other with a force F.If the charges of both particles are doubled,and the distance between them also doubled,then the force of attraction will be
A)F)
B)2 F.
C)F/2.
D)F/4.
E)none of these

Question

Quizplus · Accepted Answer

The force between two charged particles is given by Coulomb's law:$$F = k\frac{q_1q_2}{d^2}$$where:* k is Coulomb's constant* q_1 and q_2 are the charges of the particles* d is the distance between the particlesIf the charges of both particles are doubled, and the distance between them is also doubled, then the force of attraction will be:$$F' = k\frac{(2q_1)(2q_2)}{(2d)^2} = k\frac{4q_1q_2}{4d^2} = F$$Therefore, the force of attraction will be the same as before.

Two Charged Particles Attract Each Other with a Force F