Additions and Corrections to ELECTRICITY and MAGNETISM by Oleg D. Jefimenko Page 96, Fig. Add d<

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There is a widespread interpretation of Maxwell’s equations indicating that spatially varying electric and magnetic fields can cause each other to change in time, thus giving rise to a propagating electromagnetic wave [5] electromagnetism.

GriffithsMark A.

Electricity and Magnetism : An Introduction to the Theory of Electric and Magnetic Fields

However, Jefimenko’s equations show an alternative point of view. Jefimenko, Solutions of Maxwell’s equations for electric and magnetic fields in arbitrary mediaAmerican Journal of Physics 60 10— In the typical expressions for Maxwell’s equations there is no doubt that both sides are equal to each other, but as Jefimenko notes, ” JefimenkoElectricity and Magnetism: JefimenkoCausality Electromagnetic Induction and Gravitation2nd ed.: Electromagnetic tensor stress—energy tensor.


Views Read Edit View history. McDonald, The relation between expressions for time-dependent electromagnetic fields given by Jefimenko and by Panofsky and PhillipsAmerican Journal of Physics 65 11 Therefore, we must conclude that an electromagnetic field is a dual entity always having an electric and a magnetic component simultaneously created by their common sources: This page was last edited on 16 Marchat From Wikipedia, the free encyclopedia.

Charge density and current density are creating them both.

By using this site, you agree to the Terms of Use and Privacy Policy. As pointed out electrocity McDonald, [8] Jefimenko’s equations seem to appear first in in the second edition of Panofsky and Phillips’s classic textbook. Covariant formulation Electromagnetic tensor stress—energy tensor Four-current Electromagnetic four-potential.

There are similar expressions for D and H.

Part of a series of articles about Electromagnetism Electricity Magnetism Electrostatics. In other words, the left side of each equation is actually “caused” by the right side, unlike the normal differential expressions for Maxwell’s equations where both sides take electricify simultaneously.

Therefore they can be used for moving charges and currents.

These equations are the time-dependent generalization of Coulomb’s law and the Biot—Savart law to electrodynamicswhich were originally true only for electrostatic and magnetostatic fields, and steady currents. Hence, it is impossible for E and B fields to be “creating” each other. Retrieved from ” https: Jefimenko give the electric field and magnetic field due to a distribution of electric charges and electric current in space, that takes into account the propagation delay retarded time of the fields due to the finite speed of light and relativistic effects.


Jefimenko’s equations – Wikipedia

They are the general solutions magnetlsm Maxwell’s equations for any arbitrary distribution of charges and currents. In electromagnetismJefimenko’s equations named after Oleg D.

The electric mmagnetism is written in a slightly different – but completely equivalent – form. Essential features of these equations are easily observed which is that the right hand sides involve “retarded” time which reflects the “causality” of the expressions.