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

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

28 Citations (Scopus)


Static problems involving a conducting sphere with radial anisotropy (radial and tangential conductivity, denoted /spl alpha/ and /spl eta/) are considered. The internal and external fields and the dipole moment are derived for a radially anisotropic sphere, and a condition relating /spl alpha/, /spl eta/ and the external isotropic conductivity /spl alpha//sub 0/ 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 /spl alpha//spl Gt//spl eta/ and /spl alpha//spl ap//spl eta/. Image expressions for radial and tangential dipole sources are elaborated
Original languageEnglish
Pages (from-to)360-367
JournalIEEE Transactions on Dielectrics and Electrical Insulation
Issue number3
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed


Cite this