Gives the total power radiated by an accelerating, nonrelativistic point charge
Not to be confused with the phenomenon in nuclear magnetic resonance known as Larmor precession.
In electrodynamics, the Larmor formula is used to calculate the total power radiated by a nonrelativistic point charge as it accelerates. It was first derived by J. J. Larmor in 1897,[1] in the context of the wave theory of light.
When any charged particle (such as an electron, a proton, or an ion) accelerates, energy is radiated in the form of electromagnetic waves. For a particle whose velocity is small relative to the speed of light (i.e., nonrelativistic), the total power that the particle radiates (when considered as a point charge) can be calculated by the Larmor formula:
where or is the proper acceleration, is the charge, and is the speed of light. A relativistic generalization is given by the Liénard–Wiechert potentials.
In either unit system, the power radiated by a single electron can be expressed in terms of the classical electron radius and electron mass as:
One implication is that an electron orbiting around a nucleus, as in the Bohr model, should lose energy, fall to the nucleus and the atom should collapse. This puzzle was not solved until quantum theory was introduced.
^Larmor, J (1897). "LXIII.On the theory of the magnetic influence on spectra; and on the radiation from moving ions". Philosophical Magazine. 5. 44 (271): 503–512. doi:10.1080/14786449708621095. Formula is mentioned in the text on the last page.
In electrodynamics, the Larmorformula is used to calculate the total power radiated by a nonrelativistic point charge as it accelerates. It was first...
Sir Joseph Larmor FRS FRSE (11 July 1857 – 19 May 1942) was an Irish and British physicist and mathematician who made breakthroughs in the understanding...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
situation. However, this formula still provides a good approximation for long thin conductors such as wires. Another situation this formula is not exact for is...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
capacitance (C) of the object and the static potential V in volts (V) by the formula E = ½CV2. One experimenter estimates the capacitance of the human body...
expressed in terms of SI base units is kg·m3·s−3·A−1. Its dimensional formula is L 3 M T − 3 I − 1 {\displaystyle {\mathsf {L}}^{3}{\mathsf {MT}}^{-3}{\mathsf...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
However, this formula still provides a good approximation for long thin conductors such as wires. Another situation for which this formula is not exact...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
dependent term in the electric field from which relativistic correction for Larmorformula is obtained. There exist yet another set of solutions for Maxwell's...
does not pass through the inside of any component. The above is the same formula used in electrostatics. This integral, with the path of integration being...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...
re-normalization, and instability of a hydrogen atom predicted by the Larmorformula. In classical field theories, including special relativity but not general...
Electromagnetic pulse Electromagnetic radiation Faraday law Jefimenko equations Larmorformula Lenz law Liénard–Wiechert potential London equations Lorentz force Maxwell...