Magnetic field created by a conducting cylindrical shell of finite length

J. M. Ferreira, Joaquim Anacleto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A conceptually simple result, which was recently derived for the circulation of the magnetic field created by a finite portion of wire carrying a slowly varying current, is used with the superposition principle and symmetry considerations to obtain an expression for the magnetic field of a thin cylindrical shell of finite length. This expression is combined with a new formula for an oblique solid angle, to obtain closed form solutions for the magnetic field created by the thin cylindrical shell segment in all regions of space. The solutions derived herein are applied in the limiting situations where the cylindrical shell’s length or radius is very large and compared to the known results for the magnetic field of a long conducting tube, and of an infinite plane, respectively. In addition, the use of physical principles of superposition and symmetry in this study is instructive from an educational perspective.

Original languageEnglish
Pages (from-to)979-986
Number of pages8
JournalElectrical Engineering
Volume99
Issue number3
DOIs
Publication statusPublished - 1 Sep 2017

Keywords

  • Finite hollow cylinder
  • Magnetic field
  • Oblique solid angle

Fingerprint Dive into the research topics of 'Magnetic field created by a conducting cylindrical shell of finite length'. Together they form a unique fingerprint.

  • Cite this