Hello everyone. The problem is related to these two capacitor connections:
In the enunciate it is said that these two are equivalent and it is requested to prove that:
C=Q/Vab (Capacitance definition)
The Attempt at a Solution
My problem with the solution is that I do not know how to analyze them, because of the two potentials differences.
It is seen that the two potential differences and the two electric charges are the same in the two arrangements, so I tried to isolate Vac and Vbc in function of the electric charges: to no avail.
I noticed that in the first image, the capacitor at the top will have an electric charge merged from the two originals, that I call q3, so the left capacitor will have a charge of q1 - q3 (or q1+q3?) and the another will have a charge of q2+q3(or q2-q3?), I believe of that order do not import.
Can you give me a light on how to do this? Sorry for my poor English, I'm not proficient.