Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Three identical metal spheres, A, B and C, stand on insulating stands. A has , B has , and C is neutral. First A touches B, and they are separated. Then B touches C, and they are separated. Finally A touches C, and they are separated. Find the final charge on each sphere.
Charge is quantised, with C, and it is conserved. A body that gains electrons has a charge . Identical metal spheres that touch share their total charge equally. In charging by induction a body ends with the sign opposite to that of the rod.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. After each touch, the two spheres share the total equally. Follow the three steps in order.
Step 1. A touches B. The total is , so each has . Now A has , B has and C has .
Step 2. B touches C. The total is , so each has . Now A has , B has and C has .
Step 3. A touches C. The total is , so each has .
Answer: A has , B has , and C has .
Check. The total is , the same as at the start. Charge is conserved.
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