Proof of the number of independent Kirchhoff equations in an electrical circuit | IEEE Journals & Magazine | IEEE Xplore

Proof of the number of independent Kirchhoff equations in an electrical circuit


Abstract:

A compact inductive proof is presented that the number of linearly independent KCL (Kirchhoff's current law) node equations of b-branch n-node connected circuits is n-1 a...Show More

Abstract:

A compact inductive proof is presented that the number of linearly independent KCL (Kirchhoff's current law) node equations of b-branch n-node connected circuits is n-1 and the number of independent KVL (Kirchhoff's voltage law) loop equations is b-n+1. Because it is easily illustrated pictorially and does not rely on graph theoretic concepts it is suitable for presentation at an elementary level of circuit theoretic instruction.<>
Published in: IEEE Transactions on Circuits and Systems ( Volume: 38, Issue: 7, July 1991)
Page(s): 681 - 684
Date of Publication: 06 August 2002

ISSN Information:


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