Additions and Corrections to ELECTRICITY and MAGNETISM by Oleg D. Jefimenko Page 96, Fig. Add d<
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Electricity and Magnetism
Covariant formulation Electromagnetic tensor stress—energy tensor Four-current Electromagnetic four-potential. JefimenkoCausality Electromagnetic Induction and Gravitation2nd ed.: There are similar expressions for D and H.
Charge density and current density are creating them both. JefimenkoElectricity and Magnetism: Part of a series of articles about Electromagnetism Electricity Magnetism Electrostatics.
Electricity and Magnetism : Oleg D. Jefimenko :
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. In electromagnetismJefimenko’s equations named after Oleg D. Jefimenko, Solutions of Maxwell’s equations for electric and magnetic fields in arbitrary mediaAmerican Journal of Physics 60 10— They are the general solutions to Maxwell’s equations for any arbitrary distribution of charges and currents.
McDonald, The relation between expressions for time-dependent electromagnetic fields given by Jefimenko and by Panofsky and PhillipsAmerican Journal of Physics 65 11 Hence, it is impossible for E and B fields to be “creating” each other.
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Full text of “Electricity and Magnetism”
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. Electromagnetic tensor stress—energy tensor. Therefore they can be used for moving charges and currents.
However, Jefimenko’s equations show an alternative point of view.
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 electricitty propagating electromagnetic wave  electromagnetism. Retrieved from ” https: As pointed out by McDonald,  Jefimenko’s equations seem to appear first in in the second edition of Panofsky and Phillips’s classic textbook.
In the typical expressions for Maxwell’s equations there is no doubt that both sides are equal to each other, but as Jefimenko notes, ” 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: The electric field is written in a slightly different – but completely equivalent – form.
In other words, the left side of each equation is actually “caused” by the right electricigy, unlike the normal differential expressions for Maxwell’s equations where both sides take place simultaneously.