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

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

27 Citations (Scopus)

Abstract

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
Volume2
Issue number3
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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Dipole moment
Anisotropy

Cite this

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abstract = "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",
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Dc fields and analytical image solutions for a radially anisotropic spherical conductor. / Sten, Johan.

In: IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 2, No. 3, 1995, p. 360-367.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Dc fields and analytical image solutions for a radially anisotropic spherical conductor

AU - Sten, Johan

PY - 1995

Y1 - 1995

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AB - 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

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DO - 10.1109/94.395424

M3 - Article

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SP - 360

EP - 367

JO - IEEE Transactions on Dielectrics and Electrical Insulation

JF - IEEE Transactions on Dielectrics and Electrical Insulation

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