Note on the definition and calculation of the per-unit-length internal impedance of a uniform conducting wire

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Abstract

The Thévenin theorem is used to define the internal impedance per unit length (p.u.l.) of a uniform conducting wire of arbitrary cross-sectional geometry. Two different boundary value problems are then proposed for the calculation of the internal impedance of the wire, which are both consistent with the proposed Thévenin theorem-based definition. For the important case of rectangular conducting strips, an advantage is taken of the separable cross-sectional geometry for the development of analytical expressions for the internal impedance of the wires. It is shown that these expressions reproduce correctly both the resistance of the wire p.u.l. length at dc and the trend of R(ω) ≈ ω L(ω) at sufficiently high frequencies such that the skin effect is well developed.

Original languageEnglish (US)
Pages (from-to)677-681
Number of pages5
JournalIEEE Transactions on Electromagnetic Compatibility
Volume49
Issue number3
DOIs
StatePublished - 2007

Keywords

  • Frequency-dependent loss
  • Interconnect modeling
  • Internal impedance
  • Skin effect

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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