electromagnetic field equations

electromagnetic field equations

[i¦lek·trō·mag′ned·ik ′fēld i‚kwā·zhənz]
(electromagnetism)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Utilizing the generalized coordinate transformation (3) to (15), (16), and (17) and subsequently multiplying by the factor 2[kappa][r.sub.h](r - [r.sub.h])/[[r.sub.h][g.sup.01]{1 + 2n(r - [r.sub.h])} - r[g.sup.0j][r.sub.h,j]] to both sides of three second-order equations for the coefficients [mathematical expression not reproducible] to be 2 and finally taking the limit of r [right arrow] [r.sub.h]([u.sub.0], [[theta].sub.0], [[phi].sub.0]), u [right arrow] [u.sub.0], [theta] [right arrow] [[theta].sub.0], and [phi] [right arrow] [[phi].sub.0], then the three second-order forms of Maxwell's electromagnetic field equations near the event horizon can be expressed as follows:
Hence, it is a distribution of temperature of the thermal radiation near the event horizon r = [r.sub.h] due to the Klein-Gordon scalar field, the Maxwell's electromagnetic field equations,
The total interaction energy of scalar particles of KleinGordon, Maxwell's electromagnetic field equations, and Dirac particles in general nonstationary black hole is given by
Maxwell apparently emphasized the importance of the potentials because they were the mortar in the electrostatic and magnetostatic foundations on which he constructed the dynamic electromagnetic field equations. Maxwell's emphasis on the electromagnetic potentials seemed to anticipate the advent of quantum physics.
In its turn, the nonzero electric field divergence admits an additional degree of freedom into the electromagnetic field equations. The latter then possess new solutions both in the steady and the time-dependent states, having applications to modified models of leptons and photons.
The duality is to be found already in the basic electromagnetic field equations
Firstly, the electromagnetic field equations of the proposed machines are governed by:
In general, the calculation model for the motoring mode of electric machines consists of three types of equations: the electromagnetic field equation of the machine, the circuit equation of the armature circuit, and the motion equation of the mechanical drive system.
The corresponding electromagnetic field equation can be written as:
In recent years, a part of scholars make use of the algebra of quaternions to research the electromagnetic field equations, quantum mechanics, gravitational fields, dark matters [18], curved space, and so on.
Some scholars introduce the algebra of octonions [33] to explore the Dirac wave equation, curved space, electromagnetic field equations, gravitational fields, dark matters, Yang-Mills equation, and so forth.
And some of these physical quantities can be separated and degenerated into the electromagnetic field equations, Newton's law of universal gravitation, mass continuity equation, current continuity equation, force equilibrium equation, precessional equilibrium equation, and so forth.

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