Coulomb S Law

Let's solve the problem step by step by analyzing the effects of bringing sphere C in contact with sphere A and then sphere B. Initially, the charge on both spheres A and B is . The force of repulsion between them is given by:

where is the Coulomb's constant and is the distance between the centers of the spheres.

1. Contacting C with A: Sphere C is initially uncharged. When C is touched to A, the charges will redistribute equally because they are identical spheres. Therefore, the charge on each sphere after contact becomes .

Now, sphere A has a charge of , and sphere C also has a charge of .

2. Contacting C with B: Sphere C with charge is now touched to sphere B with charge . Again, the charges will distribute equally. The total charge is .

The charge on each sphere after contact is .

After C is removed, sphere A has a charge of and sphere B has a charge of .

3. New Force Calculation: The new force of repulsion between A and B is:

Thus, the new force of repulsion between spheres A and B is .