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## Homework Statement

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
_{1}=(C_{x}C_{y}+C_{y}C_{z}+C_{z}C_{x})/C_{x}

- C
_{2}=(C_{x}C_{y}+C_{y}C_{z}+C_{z}C_{x})/C_{y}

- C
_{1}=(C_{x}C_{y}+C_{y}C_{z}+C_{z}C_{x})/C_{z}

## Homework Equations

C=Q/V

_{ab}(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.

My progress:

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.