might suggest that the retarded scalar potential for a moving point charge is {also } .. Thus, we have obtained the so-called Liénard-Wiechert retarded potentials. Lecture 27 – Liénard-Wiechert potentials and fields – following derivations in. Lecture When we previously considered solutions to the. The Lienard-Wiechert potentials are classical equations that allow you to compute the fields due to a moving point charge in the Lorenz Gauge Condition.

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Electrodynamics/Lienard-Wiechert Potentials

These are the Lienard-Wiechert Potentials for a moving charge. The rest, you seem to just be repeating the results, but not really address my argument.

Note the appearance of the “stretching” or “over-counting” factor.

The first term describes near field effects from the charge, and its direction in space is updated with a term that corrects for any constant-velocity motion of the charge on its distant static field, so that the distant static field appears at distance from the charge, with no aberration of light or light-time correction.

It replaces Einstein’s “A” coefficient and explains that the classical electron is stable on Rydberg’s classical orbits. Only this second term describes information transfer about the behavior of the charge, which transfer occurs radiates from the charge at the speed of light. We will use the formulas developed in the previous section to find the potentials and the fields.


According to her, this is due to a Jacobian factor missed, as many physicists do not apply a rigorous treatment of distribution theory and work with the Dirac delta function.

Liénard–Wiechert potential – Wikipedia

Multiplying electric parameters of both problems by arbitrary real constants produces a coherent interaction of light with matter which generalizes Einstein’s theory A. My thesis briefly discusses aspects of Whitney’s argument and lienarr many relevant references for further study.

Retrieved from ” https: The reason is very subtle: Built directly wiecheft Maxwell’s equationsthese potentials describe the complete, relativistically correct, time-varying electromagnetic field for a point charge in arbitrary motion, but are not corrected for quantum-mechanical effects.

These can be used in calculating the derivatives of the vector potential and the resulting expressions are. The direction of the field associated with this radiative term is toward the fully time-retarded position of the charge i. The retarded time varies with position; for example the retarded time at the Moon is 1.

Art Brown 4, 1 18 The correction factors are for the components of velocity pointing to the point we are measuring the potentials at. Advanced fields are absorbed by the charges and retarded fields are emitted. None of her papers can be found wiechrrt the internet.

This earlier time in which an event happens such that a particle at location r ‘sees’ this event at a later time t is called the retarded timet r.

Views Read Edit View history. The other term is dynamic, in that it requires that the moving charge be accelerating with a component perpendicular to the line connecting the charge and the observer and does not appear unless the source changes velocity.


This page was last edited on 26 Decemberat I think I need more time than I’ve got right now, to avoid making another goof. The first of these is the static electric or magnetic field term that depends only on the distance to the moving charge, and does not depend on the retarded time at all, if the velocity of the source is constant.

At least, that’s how it seems to me I don’t think the increase in potential due to the moving charge leading to an “overcounting” IS in disagreement with Feynman’s result.

Liénard–Wiechert potential

This pootential term is connected with electromagnetic radiation. Even though we are considering a point particle, the formula is still wrong, since the correction factor doesn’t depend on geometric size! Policies and guidelines Contact us. You’re not the only one who’s noticed this double counting: To see why, consider the following situation with discrete charges: I like it, except this bit: Electromagnetic radiation in the form of waves can be obtained from these potentials.

This term, which corrects for time-retardation delays in the direction of the static field, is required by Lorentz invariance.