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 MoreMetadata
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)
DOI: 10.1109/31.135739