Larmor Formula

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

Enter a value for all fields

The Larmor Formula calculator computes the power radiated by point charge as it accelerates based on the charge and the acceleration.

INSTRUCTIONS: Choose units and enter the following:

(q) Charge
(a) Acceleration

Power (P): The power is returned in watts. However, this can be automatically converted to compatible units via the pull-down menu.

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:

$P=(q^2a^2)/(6piepsilon_0c^3)$

where:

P = Power
q = charge
a = acceleration
$epsilon_0$ = electric constant
c = speed of light

References

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