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)
| Label | Occurrences |
|---|---|
| Larmor formula canonical | 2 |
| Larmor radiation | 1 |
| Liénard formula for relativistic charges | 1 |
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.
subject surface form:
Joseph Larmor
this entity surface form:
Larmor radiation
this entity surface form:
Liénard formula for relativistic charges