Larmor formula

E402674

The Larmor formula is a fundamental result in classical electrodynamics that gives the power radiated by an accelerating electric charge.

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All labels observed (3)

Statements (47)

Predicate Object
instanceOf physical law
result in classical electrodynamics
appliesTo non-relativistic point charge
approximationType non-relativistic approximation
assumes classical point charge
flat spacetime
non-relativistic velocities
vacuum
category electromagnetic radiation formulas
power formulas in physics
concerns accelerated charges
electromagnetic radiation
dependsOn square of the acceleration magnitude
square of the charge
derivedFrom Lienard–Wiechert potentials
Maxwell's equations
surface form: Maxwell equations

Poynting vector
describes power radiated by an accelerating electric charge
expresses radiated power in terms of charge and acceleration
field classical electrodynamics
framework classical electromagnetism
generalizedBy Larmor formula self-linksurface differs
surface form: Liénard formula for relativistic charges
gives total power radiated by an accelerating charge
hasNonRelativisticForm P = (2/3)(q^2 a^2)/(4π ε0 c^3) in SI units
P = (2/3)(q^2 a^2)/c^3 in Gaussian units
implies uniformly moving charge does not radiate
independentOf direction of acceleration
sign of the charge
introducedBy Joseph Larmor
namedAfter Joseph Larmor
publicationCentury 19th century
relatedTo Bremsstrahlung
Larmor formula self-linksurface differs
surface form: Larmor radiation

Liénard formula
synchrotron radiation
unitSystem Gaussian units
International System of Units
surface form: SI units
usedIn accelerator physics
antenna theory
astrophysics
classical radiation theory
plasma physics
radiation reaction analysis
usedToExplain classical electron radiation losses
energy loss of accelerated charges
radiation damping
validIn inertial reference frame

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Joseph Larmor knownFor Larmor formula
Larmor notableConcept Larmor formula
subject surface form: Joseph Larmor
Larmor formula relatedTo Larmor formula self-linksurface differs
this entity surface form: Larmor radiation
Larmor formula generalizedBy Larmor formula self-linksurface differs
this entity surface form: Liénard formula for relativistic charges