Title: Electric and Magnetic Fields of two In nitely Long Parallel Cylindrical Conductors Carrying a DC Current
Other Titles: Fields of Two Parallel Cylindrical Conductors Carrying a DC Current
Authors: Engelen, Kristof
Jacqmaer, Pieter ×
Driesen, Johan #
Issue Date: 2012
Publisher: EDP Sciences
Series Title: European Physical Journal. Applied Physics
Conference: La 7ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme (NUMELEC 2012) edition:7 location:Marseille, France date:3-5 July 2012
Abstract: This paper calculates the electric and magnetic fields and the Poynting vector around two infinitely long parallel cylindrical conductors, carrying a DC current. Also the charges on the surface of the wire are calculated, and their distribution is visualized. The wire is assumed to be perfectly electrically conducting. Furthermore, the Hall effect is ignored. In literature, the problem of determining the electric field is usually tackled using an equivalent model consisting of two line charge densities, producing the same electric field. In this work, the Laplace equation is rigorously solved. The authors found no work explaining the solution of the Laplace equation with boundary conditions for this problem and hence thought it was useful to dedicate a paper to this topic. The method of separation of variables is employed and a bipolar coordinate system is used. After solving the appropriate Sturm-Liouville problems, the scalar potential is obtained. Taking the gradient yields the electric field.
ISSN: 1286-0042
Publication status: submitted
KU Leuven publication type: IT
Appears in Collections:ESAT - ELECTA, Electrical Energy Computer Architectures
× corresponding author
# (joint) last author

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