Title :
Proof of the number of independent Kirchhoff equations in an electrical circuit
Author :
Feldmann, Peter ; Rohrer, Ronald A.
Author_Institution :
AT&T Bell Lab., Murray Hill, NJ, USA
fDate :
7/1/1991 12:00:00 AM
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
Keywords :
network analysis; network parameters; KCL; KVL; Kirchhoff´s current law; Kirchhoff´s voltage law; circuit theoretic instruction; compact inductive proof; electrical circuit; independent Kirchhoff equations; loop equations; node equations; Books; Circuit analysis; Circuits and systems; Equations; Graph theory; Kirchhoff´s Law; Voltage;
Journal_Title :
Circuits and Systems, IEEE Transactions on
