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- Title
Analytical formula of induced electric fields in a spherical conductor by an ELF dipole magnetic field source.
- Authors
Kitano, Mitsuhiro; Hamada, Shoji; Kobayashi, Tetsuo
- Abstract
An analytical formula of induced electric field <BI>E</BI> in a spherical conductor by an ELF dipole magnetic field source <UEQN>${\it M} = {\it M}_{\|} + {\it M}_{\perp}$</UEQN> is mathematically derived in vector form based on the equivalent mutlipole moment method with reexpansion technique (RE-EMMM), where <BI>M</BI>| and <UEQN>${\it M}_{\perp}$</UEQN> are parallel and perpendicular components of <BI>M</BI>, respectively. The validity of the formula is confirmed in the following three ways: (i) the derivation of the formula from the Sarvas equation with the reciprocity theorem derived by Eaton; (ii) the convergence of the formula to that of homogeneous magnetic field when <BI>M</BI>| is located at the infinite distance; (iii) comparison of the analytical solutions with numerical solutions by RE-EMMM. Furthermore, a formula for the trajectory, which satisfies <BI>E</BI>=0, is derived for the field by <BI>M</BI>|. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 166(3): 8– 17, 2009; Published online in Wiley InterScience (<URL>www.interscience.wiley.com</URL>). DOI 10.1002/eej.20739
- Subjects
ELECTRIC fields; MAGNETIC fields; ELECTROMAGNETIC fields; MAGNETICS; COMMERCIAL treaties
- Publication
Electrical Engineering in Japan, 2009, Vol 166, Issue 3, p8
- ISSN
0424-7760
- Publication type
Article
- DOI
10.1002/eej.20739