Static-image method for the interaction of two coaxial conducting prolate spheroids

Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

Abstract

An image solution was recently given for the electrostatic problem of a point charge located on the axis of revolution of a conducting prolate spheroid. The image theory is in this paper applied to the problem of two coaxial conducting prolate spheroids immersed in a homogeneous axial electric field. Integral equations are given for the image dipole moment density functions in each spheroid. A similar method based on integral equation for image charges is given for the calculation of capacitance
Original languageEnglish
Pages (from-to)531-542
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume48
Issue number4
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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prolate spheroids
Coaxial
Integral equations
conduction
Dipole moment
Interaction
Probability density function
integral equations
Electrostatics
Integral Equations
Capacitance
Electric fields
Charge
interactions
spheroids
Density Function
Dipole
Electric Field
dipole moments
capacitance

Cite this

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abstract = "An image solution was recently given for the electrostatic problem of a point charge located on the axis of revolution of a conducting prolate spheroid. The image theory is in this paper applied to the problem of two coaxial conducting prolate spheroids immersed in a homogeneous axial electric field. Integral equations are given for the image dipole moment density functions in each spheroid. A similar method based on integral equation for image charges is given for the calculation of capacitance",
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Static-image method for the interaction of two coaxial conducting prolate spheroids. / Sten, Johan.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 48, No. 4, 1995, p. 531-542.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Static-image method for the interaction of two coaxial conducting prolate spheroids

AU - Sten, Johan

PY - 1995

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AB - An image solution was recently given for the electrostatic problem of a point charge located on the axis of revolution of a conducting prolate spheroid. The image theory is in this paper applied to the problem of two coaxial conducting prolate spheroids immersed in a homogeneous axial electric field. Integral equations are given for the image dipole moment density functions in each spheroid. A similar method based on integral equation for image charges is given for the calculation of capacitance

U2 - 10.1093/qjmam/48.4.531

DO - 10.1093/qjmam/48.4.531

M3 - Article

VL - 48

SP - 531

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JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

SN - 0033-5614

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