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We derive from Jefimenko's equations a multipole expansion in order to obtain the exact expressions for the electric and magnetic fields of an electric dipole with an arbitrary time dependence. A few comments are also made about the usual…

Classical Physics · Physics 2015-05-12 W. J. M. Kort-Kamp , C. Farina

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of…

Classical Physics · Physics 2013-04-15 Markus Lazar

Starting from Stratton-Panofsky-Phillips-Jefimenko equations for the electric and magnetic fields generated by completely arbitrary charge and current density distributions at rest, we derive far-zone approximations for the fields,…

Classical Physics · Physics 2010-01-11 B. Thidé , J. Lindberg , H. Then , F. Tamburini

Starting from Jefimenko's equations, we consider the multipole expansions of electric and magnetic fields for a confined system of charges and currents. We analyze and comment on the calculus of radiated power, on the consistent use of…

Classical Physics · Physics 2009-10-08 C. Vrejoiu , R. Zus

We show how to obtain the first multipole contributions to the electromagnetic radiation emited by an arbitrary localized source directly from the Jefimenko equation for the magnetic field and the Panofsky-Phillips equation for the electric…

Classical Physics · Physics 2008-12-31 R. de Melo e Souza , M. V. Cougo-Pinto , C. Farina , M. Moriconi

We discuss the multipolar expansion of the electromagnetic field with an emphasis on the radiated field. We investigate if the employment of Jefimenko's equations brings a new insight into the calculation of the radiation field. We show…

Classical Physics · Physics 2013-05-29 C. Vrejoiu , R. Zus

The electric and magnetic fields of an infinite straight wire carrying a steady current which is turned on abruptly are determined using Jefimenko's equations, starting from the standard assumption that the wire is electrically neutral in…

Classical Physics · Physics 2015-06-12 D. V. Redzic , V. Hnizdo

The expression for the electromagnetic field of a charge moving along an arbitrary trajectory is obtained in a direct, elegant, and Lorentz invariant manner without resorting to more complicated procedures such as differentiation of the…

Classical Physics · Physics 2009-05-08 Hamsa Padmanabhan

Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects are treated separately, with no guiding…

Superconductivity · Physics 2012-02-23 A. J. Beekman , J. Zaanen

Retarded electromagnetic potentials are derived from Maxwell's equations and the Lorenz condition. The difference found between these potentials and the conventional Li\'{e}nard-Wiechert ones is explained by neglect, for the latter, of the…

Classical Physics · Physics 2015-06-05 J. H. Field

We discuss a previously unpublished description of electromagnetism outlined by Richard P. Feynman in the 1960s in five handwritten pages, recently uncovered among his papers, and partly developed in later lectures. Though similar to the…

History and Philosophy of Physics · Physics 2019-10-17 Roberto De Luca , Marco Di Mauro , Salvatore Esposito , Adele Naddeo

We clarify some arguments concerning Jefimenko's equations, as a way of constructing solutions to Maxwell's equations, for charge and current satisfying the continuity equation. We then isolate a condition on non-radiation in all inertial…

Analysis of PDEs · Mathematics 2021-07-26 Tristram de Piro

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Textbooks play a fundamental role in teaching and learning in school science classrooms. In this paper we investigate the presentation of the nature of the electromagnetic field in a dozen of the world's most popular introductory university…

Physics Education · Physics 2023-05-10 Álvaro Suárez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnet- ically stable solutions generated by purely electric charges whose electric and magnetic fields…

High Energy Physics - Theory · Physics 2009-07-24 S. O. Vellozo , José A. Helayël-Neto , A. W. Smith , L. P. G. De Assis

For some physics students, the concept of a particle travelling faster than the speed of light holds endless fascination, and Cherenkov radiation is a visible consequence of a charged particle travelling through a medium at locally…

Physics Education · Physics 2007-05-23 Robert N. C. Pfeifer , Timo A. Nieminen

The following inverse problem is discussed. A static electromagnetic field generated by a limited system of charges and currents is supposed to be known with its first derivatives at a point somewhere far from the system. This allows to…

Classical Physics · Physics 2015-02-16 V. Ya. Epp , G. F. Kopytov , T. G. Mitrofanova

Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge. Solution of quantum mechanical wave equations in the presence of such fields is therefore immediate and leads to…

High Energy Physics - Theory · Physics 2016-04-20 Roman Jackiw , Dan Kabat , Miguel Ortiz

We propose a simple relativistic derivation of the electric and the magnetic fields generated by an electric point charge moving with constant velocity. Our approach is based on the radar detection of the point space coordinates where the…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu , George J. Spix

The object of this contribution is twofold. On one hand, it rises some general questions concerning the definition of the electromagnetic field and its intrinsic properties, and it proposes concepts and ways to answer them. On the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolome Coll
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