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How is symmetry used to solve electrical circuits? I have seen several problems in books in which currents in two resistors are said to be equal due to 'symmetry'. That is a concept that I fail to understand and thus cannot apply. In class, we were shown a few circuit diagrams which were symmetrical about their perpendicular bisectors etc. We were told to note that the potential of all circuit elements lying on a line of symmetry would be the same. While this is not too difficult to grasp and use, I don't understand the correlation between the two: symmetry and potential. Sure I can prove it for one or two circuits using Kirchhoff's Laws and other methods of circuit analysis. But won't that proof be circumstantial? Without understanding the reason behind it, how can I proceed to build my understanding of the subject?
In a nutshell, my question is: what is the correlation between symmetry (as in symmetry in geometrical shapes) and current and/or voltage and how do I utilise it in understanding circuit analysis?
In a nutshell, my question is: what is the correlation between symmetry (as in symmetry in geometrical shapes) and current and/or voltage and how do I utilise it in understanding circuit analysis?