The problem of the structure of quasi-stationary electromagnetic field of an infinite solenoid induction loaded with a metal cylinder of constant conductance

An exact solution of the problem of distribution of the magnetic and electrical field intensities in space around the metal cylinder placed inside an infinite solenoid, with alternating current flowing through it, is obtained. The solution is derived for Maxwell equations, describing the cylindrical...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1588; no. 1; pp. 12016 - 12020
Main Authors Gerasimov, A, Kirpichnikov, A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.07.2020
Subjects
Coordination compounds
Cylinders
Electric components
Electromagnetic fields
Electromagnetic induction
Electromagnetism
Exact solutions
Mathematical analysis
Maxwell's equations
Physics
Pneumatics
Solenoids
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Summary:An exact solution of the problem of distribution of the magnetic and electrical field intensities in space around the metal cylinder placed inside an infinite solenoid, with alternating current flowing through it, is obtained. The solution is derived for Maxwell equations, describing the cylindrically symmetric electromagnetic field outside the metal cylinder for complex values of the magnetic and electric components of the electromagnetic field. A comparison between the derived exact solution and an approximate one is drawn. Their asymptotic convergence is shown.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1588/1/012016