Larmor Formula

Last modified by

on

Oct 6, 2021, 6:55:53 PM

Created by

on

Aug 15, 2016, 1:33:36 PM

P = \frac{q^{2} \cdot a^{2}}{6 π \cdot ε_{0} \cdot c^{3}}

$P = ( q ^2* a ^2)/(6pi*epsilon_0*c^3)$

(q) charge

$(q)"charge"$

(a) acceleration

$(a)"acceleration"$

The Math / Science

The Larmor Formula is used to calculate the total power radiated by a non relativistic point charge as it accelerates or decelerates. When any charged particle (such as an electron, a proton, or an ion) accelerates, it radiates away energy in the form of electromagnetic waves. For velocities that are small relative to the speed of light, the total power radiated is given by the Larmor formula:

$P = \frac{q^{2} a^{2}}{6 π ε_{0} c^{3}}$ $P=(q^2a^2)/(6piepsilon_0c^3)$

where:

P = Power
q = charge
a = acceleration
$ε_{0}$ $epsilon_0$ = electric constant
c = speed of light

References

Wikipedia (https://en.wikipedia.org/wiki/Larmor_formula)

This equation, Larmor Formula, references 3 pages

Equations and Data Items

• Electric Constant by EmilyB

• c (speed of light with units) by vCollections

•

π

$pi$ by MichaelBartmess

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Larmor Formula

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