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Two small charged objects attract each other with a force F when separated by a distance...

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 :



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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)

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