• DocumentCode
    1310819
  • Title

    A classical puzzle: The driving-point resistances of infinite grids

  • Author

    Zemanian, A.H.

  • Author_Institution
    State Univ. of New York, Stony Brook, NY, USA
  • Volume
    6
  • Issue
    1
  • fYear
    1984
  • fDate
    3/1/1984 12:00:00 AM
  • Firstpage
    7
  • Lastpage
    9
  • Abstract
    The driving-point resistance across the diagonal of a square face, or more generally, between any two nodes, of a uniform infinite square grid of 1-Ω resistances is derived. The analysis is for the general case of an n-dimensional resistive grid whose resistors are all the same, or vary in one direction only.
  • Keywords
    linear network analysis; lumped parameter networks; passive networks; N-dimensional resistive grid; driving-point resistances; linear network analysis; lumped parameter networks; passive networks; uniform infinite square grid; Arrays; Earth; Face; Resistance; Resistors; Vectors; Voltage measurement;
  • fLanguage
    English
  • Journal_Title
    Circuits & Systems Magazine
  • Publisher
    ieee
  • ISSN
    0163-6812
  • Type

    jour

  • DOI
    10.1109/MCAS.1984.6323982
  • Filename
    6323982
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1310819