• DocumentCode
    1168325
  • Title

    An extension of Vratsanos´ theorem to nonreciprocal networks

  • Author

    Smith, Wally

  • Volume
    18
  • Issue
    2
  • fYear
    1971
  • fDate
    3/1/1971 12:00:00 AM
  • Firstpage
    276
  • Lastpage
    277
  • Abstract
    An extension of Vratsanos\´ theorem to nonreciprocal networks is considered. It is shown that for an impedance Z_{0} carrying a current I_{0}, \\partial Z_{0} / \\partial Z^{(n)} = I^{(n)}I^{(n)\\prime } / I_{0}^{2} ; where I^{(n)} and I^{(n)\\prime } are branch currents through an element Z^{(n)} in conjugate networks obtained from each other by gyrator coupling reversals.
  • Keywords
    General circuit theory; Nonreciprocal networks; Vratsanos´ theorem; Circuit synthesis; Circuit theory; Equations; Gyrators; Impedance; Microwave filters; Narrowband; Network synthesis; Network theory (graphs); Resonator filters;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1971.1083261
  • Filename
    1083261
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1168325