Larmor formula

E402674

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

All labels observed (3)

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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 equations
linked to: Maxwell's 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 Liénard formula for relativistic charges
linked to: Larmor formula
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 radiation
linked to: Larmor formula

Liénard formula
synchrotron radiation
unitSystem Gaussian units
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

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Referenced by (4)

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

Joseph Larmor knownFor Larmor formula
Joseph Larmor notableConcept Larmor formula
subject linked to: Larmor
Larmor formula relatedTo Larmor radiation
linked to: Larmor formula
Larmor formula generalizedBy Liénard formula for relativistic charges
linked to: Larmor formula