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Equivalent Circuit of the Field Equations of Maxwell-I

Content Provider	IEEE Xplore Digital Library
Author	Kron, G.
Copyright Year	1931
Abstract	An equivalent circuit is developed representing the field equations of Maxwell for an electromagnetic field containing conductors and bound charges. Both transient and sinusoidal field phenomena may now be studied by the network analyzer or by numerical and analytical circuit methods. Examples are radiation from antennas, propagation through wave guides and cavity resonators of arbitrary shapes, eddy currents in conductors, stresses in current-carrying structures, and other general problems in which moving charges either do not enter, or if they do, they may be replaced by equivalent dielectric constants, as in small signal waves on stationary or moving space charge. The circuits are developed for all curvilinear orthogonal reference frames to allow the solution, to any desired degree of accuracy, of special three-dimensional problems with axial and other symmetry by the use of only a two-dimensional network. The electromagnetic field may be nonhomogeneous, nonisotropic (of a special form), and may be divided into blocks of uneven length in different directions. The transient character of the circuit allows the variation of the frequency of the impressed quantities on the alternating-current network analyzer without varying the magnitude of the circuit impedances. One set of two-dimensional networks, the transmission-line type, requires only resistances, inductances, and capacitors, while its dual set requires also ideal transformers in series with the inductive coils. (In the transmission-line type of networks the dual ideal transformers consist of impedanceless conductors.) The three-dimensional network, being its own dual, requires both ideal transformers and impedanceless conductors.
Starting Page	289
Ending Page	299
Page Count	11
File Size	2410145
File Format	PDF
ISSN	00968390
Volume Number	32
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1944-05-01
Access Restriction	Subscribed
Rights Holder	The Institute of Radio Engineers, Inc. (IRE)
Subject Keyword	Equivalent circuits Maxwell equations Conductors Impedance Transformers Electromagnetic fields Electromagnetic transients Transient analysis Transmission lines Circuit analysis
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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