Dc fields and analytical image solutions for a radially anisotropic spherical conductor

Johan Stén

Research output: Contribution to journalArticleScientificpeer-review

29 Citations (Scopus)

Abstract

Static problems involving a conducting sphere with radial anisotropy (radial and tangential conductivity, denoted α and η are considered. The internal and external fields and the dipole moment are derived for a radially anisotropic sphere, and a condition relating α, η and the external isotropic conductivity α0 is given, for which the dipole moment vanishes, implying that the sphere becomes transparent in an homogeneous current flow. Also, problems involving external and internal point sources of current are examined, and simple interpretations in terms of image sources are presented for cases where α/spl Gt/η and α/spl ap/η. Image expressions for radial and tangential dipole sources are elaborated.
Original languageEnglish
Pages (from-to)360-367
JournalIEEE Transactions on Dielectrics and Electrical Insulation
Volume2
Issue number3
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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