The answer is C but can someone please explain why? Two identical conducting sph

Question

The answer is C but can someone please explain why?

Two identical conducting spheres, A and B, carry equal charge q and are separated by a distance r. A third identical sphere, C, is uncharged. Sphere C is first touched to A, then to B, then removed. What is the electrostatic force between A and B after C is removed? HINT: "Touched" means held put in good contact for a reasonably long period of time; assume that the spheres are very small compared to their separation 1/2 (kq2 / r2) 1/4 (kq2 / r2) 3/8 (kq2 / r2) 1/16 (kq2 / r2) 0

Explanation / Answer

answer is C final charge on a would be q/2 final charge on a would be 3q/4

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