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Electromagnetic Induction in a Conducting Sphere with a Concentric Shell
Author(s) -
Wait James R.,
Spies Kenneth P.
Publication year - 1969
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs004i006p00557
Subject(s) - multipole expansion , shell (structure) , concentric , physics , homogeneous , electromagnetic induction , electromagnetic field , mathematical analysis , series (stratigraphy) , core (optical fiber) , harmonic , classical mechanics , geometry , mathematics , optics , acoustics , quantum mechanics , electromagnetic coil , materials science , statistical physics , composite material , paleontology , biology
A quasi‐static derivation is outlined for the problem of a shell‐enclosed homogeneous solid sphere immersed in a slowly varying electromagnetic field. The secondary magnetic potential is expressed as a zonal harmonic series whose terms are proportional to a complex multipole response function x n of order n . The frequency dependence of the real and imaginary parts of x n is demonstrated to have diagnostic features related to the geometry and to the electric properties of the core and the shell.