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In a certain experiment, two spheres are each given equal quantities of charge and separated by a set amount of distance. The resulting electrostatic force of repulsion between the spheres has magnitude $F$.

Then, the quantity of charge on each sphere is tripled, while the distance between the spheres is halved.

What is the magnitude of the electrostatic force between the spheres in this second part of the experiment?

A

$\dfrac{3F}{4}$

B

$\dfrac{9F}{2}$

C

${12F}$

D

${36F}$

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