There are three identical conducting spheres, A, B and C. They are initially charged as q_A = 0, q_B = 0, q_C = +Q. Initially, A and B are connected by a wire. Then the spheres are connected (by a wire) as follows:
1) A to C (while A is still connected to B)
2) Connection between A and C is dropped
3) Connection between A and B is dropped
What is the final charge on sphere A?
(The answer is +Q/4!)
Conservation of charge. The topic of electric potential es still not used, this is just a beginning problem.
The Attempt at a Solution
I initially tried with symmetric distribution of charge when they are all connected but that brings me to +Q/3 as answer, not +Q/4. Trying to understand the answer led me to think that in step 1) all charge is moved to the extreme spheres (B and C, each one with +Q/2), so the charge is better separated, but what confuses me here is the electric potential is not the same (assuming that is still can be considered as Kq/R).
Any guidance to understand this simple problem is welcomed.