Question

Two small charged objects attract each other with a force F when separated by a distance d/2. If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/4 the force in the second case is related the force in the first case by :

" I want a solution with explanation "

Answer 1

Let q₁ and q₂ be the two charges. When they are separated by a distance r, the force between them is

In the first case r=d/2, the force is

In the second case, the distance is r=d/4, the charges are q₁'=q₁/4 and q₂'=q₂/4, the force is

Using (1)