Magnetic field generated by the flow of AC current through finite length nonmagnetic conductors (cylinders, tubes, coaxial cables)

J. M. Ferreira, Joaquim Anacleto

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Simple expressions for the magnetic field generated by the flow of low-frequency AC current through nonmagnetic conductors (defined as having relative permeability around 1) are determined in the realistic setting where such conductors are of finite length, for the following three cases: solid cylinder, tubular conductor, coaxial cable. The solutions obtained here are applied to the limiting situations of the negligible radius finite cylinder (i.e. filamentary wire segment), the infinitely long cylinder, the negligible thickness tubular conductor, the tubular conductor of finite thickness but infinite length and/or radii and the infinitely long coaxial cable, and compared against the familiar expressions available in the literature for such cases. It is hoped that the simplicity of the magnetic field expressions given here for finite length cylindrically symmetric conductors will stimulate their application wherever it may not be possible or desirable to use the infinite length approximation.

Original languageEnglish
Pages (from-to)1379-1391
Number of pages13
JournalElectrical Engineering
Volume100
Issue number3
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • AC
  • Coaxial cable
  • Cylinder
  • Finite length conductors
  • Magnetic field
  • Skin depth
  • Tube

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