Parametric Forms and the Inductive Response of a Permeable Conducting Sphere

Autor:	H. Frank Morrison, J. Torquil Smith, Alex Becker
Rok vydání:	2004
Předmět:	Physics Geophysics Environmental Engineering Permeability (electromagnetism) Step function Time derivative Time constant Exponential decay Low frequency Atomic physics Geotechnical Engineering and Engineering Geology Relative permeability Excitation
Zdroj:	Journal of Environmental and Engineering Geophysics. 9:213-216
ISSN:	1943-2658 1083-1363
DOI:	10.4133/jeeg9.4.213
Popis:	At early time, the time derivative of the response of isolated conductive bodies to step function excitation decays as [Formula: see text] (under a quasi-static approximation). One simple parametric form for the response with correct early time behaviour is [Formula: see text]. For a conducting magnetic sphere, parameter values are determined from the high and low frequency limit responses, together with two time scales taken from the form of the analytic solution. Parameters [Formula: see text] and [Formula: see text] correspond to transition times, for transition from an early time [Formula: see text] derivative response, and to late time exponential decay. For conducting spheres with high permeability, increasing the permeability moves the transition from early time behaviour earlier in inverse proportion to the relative permeability [Formula: see text], and increases the time constant of the late time decay in proportion to [Formula: see text]. Magnitude parameter [Formula: see text] corresponds to the difference between high frequency and low frequency limit responses.
Databáze:	OpenAIRE
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