• DocumentCode
    1162855
  • 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
  • Volume
    38
  • Issue
    7
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    681
  • Lastpage
    684
  • 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;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.135739
  • Filename
    135739
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1162855