Unconventional capacitors connections

Drako Amorim · Jan 17, 2017

Hi everyone, the problem is related to these two capacitor connections:

Two capacitor networks labelled (a) and (b), each with terminals a, b and c and charges q1 and q2 and voltages Vac and Vbc marked. Diagram (a) is a triangle of Cx, Cy and Cz with Cz across the top. Diagram (b) has C1 and C2 in series along the top and C3 hanging from the midpoint to the bottom line.

In the enunciate it is said that these two are equivalent and it is asked to prove that:

Three equations for capacitances C1, C2 and C3 written as ratios: C1 = (CxCy + CyCz + CzCx)/Cx, C2 = (CxCy + CyCz + CzCx)/Cy, C3 = (CxCy + CyCz + CzCx)/Cz.

My problem with these solution is that I do not know how analyze them, because of the two potencial difference. Can you please give me a light of how do it? Sorry about my poor english, I am not proficient.

Drako Amorim · Jan 17, 2017

Sorry, I have posted in the wrong place :'(

berkeman · Jan 17, 2017

No worries. Just post in the Homework Help, Introductory Physics forum, and fill out the HH Template that you are provided when posting there. You should get good help there.

Welcome to the PF

Unconventional capacitors connections

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