Additions and Corrections to ELECTRICITY and MAGNETISM by Oleg D. Jefimenko Page 96, Fig. Add d<
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There are similar expressions for D and H. Part of a series of articles about Electromagnetism Electricity Magnetism Electrostatics.
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. However, Jefimenko’s equations show an alternative point of view. As pointed out by McDonald,  Jefimenko’s equations seem to appear first in in the second edition of Panofsky and Phillips’s classic textbook.
Hence, it is impossible for E and B fields to be “creating” each other. From Wikipedia, the free encyclopedia. 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.
GriffithsMark A. In electromagnetismJefimenko’s equations named after Oleg D. Electromagnetic tensor stress—energy tensor.
The electric field is written in a slightly different elsctricity but completely equivalent – form. Retrieved from ” https: 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: Charge density and current density are creating them both.
Jefimenko, Solutions of Maxwell’s equations for electric and magnetic fields in arbitrary mediaAmerican Journal of Physics 60 10— 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, electricith giving rise to a propagating electromagnetic wave  electromagnetism.
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.
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 place simultaneously. JefimenkoElectricity and Magnetism: This page was last edited on 16 Marchat McDonald, The relation between expressions for time-dependent electromagnetic fields given by Jefimenko and by Panofsky and PhillipsAmerican Journal of Physics 65 11 Views Read Edit View history.
In the typical expressions for Maxwell’s equations there is no doubt that both sides are equal to each other, but as Jefimenko notes, ” They are the general solutions to Maxwell’s equations for any arbitrary distribution of charges and currents.