• DocumentCode
    1367497
  • Title

    Capacitance relations for a class of two-dimensional conductor configurations

  • Author

    Olyslager, F. ; Lindell, I.V.

  • Author_Institution
    Dept. of Inf. Technol., Ghent Univ., Belgium
  • Volume
    143
  • Issue
    5
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    302
  • Lastpage
    308
  • Abstract
    A relation, discovered during the 1950s, between the two-dimensional capacitances of four almost touching shells with an arbitrary shape is revisited. A short proof of this relation is presented based on Schwarz-Christoffel conformal mapping. The relation is then applied to find closed form expressions for the capacitances in configurations of more than four almost touching conductors. The results are important for making precise capacitors, capacitor benches and as benchmark results for testing capacitance software
  • Keywords
    capacitance; capacitors; conductors (electric); curve fitting; electrostatics; Schwarz-Christoffel conformal mapping; arbitrary shape; benchmark results; capacitance matrix; capacitance relations; capacitor benches; closed form expressions; four almost touching shells; precise capacitors; symmetric configuration; testing capacitance software; two-dimensional capacitances; two-dimensional conductor configurations;
  • fLanguage
    English
  • Journal_Title
    Science, Measurement and Technology, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2344
  • Type

    jour

  • DOI
    10.1049/ip-smt:19960281
  • Filename
    536431