Maxwell's equations

E5000

equations of electromagnetism set of physical laws

Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.

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All labels observed (10)

Label	Occurrences
Maxwell's equations canonical	24
Maxwell equations	11
Maxwell’s equations	3
Maxwell theory	1
Maxwell's equations (classical limit)	1
Maxwell's equations framework	1
Maxwell's equations in electrostatic limit	1
Maxwellian electromagnetism	1
classical electromagnetism	1
reformulation of Maxwell's equations	1

Statements (48)

Predicate	Object
instanceOf	equations of electromagnetism ⓘ set of physical laws ⓘ
appliesTo	classical vacuum ⓘ linear media ⓘ time-varying electromagnetic fields ⓘ
assumes	charge conservation ⓘ classical continuous fields ⓘ
compatibleWith	theory of relativity ⓘ surface form: special relativity
consistsOf	Ampère–Maxwell law ⓘ Faraday's law of induction ⓘ Gauss’s law ⓘ surface form: Gauss's law Gauss's law for magnetism ⓘ
describes	behavior of electric fields ⓘ behavior of magnetic fields ⓘ interaction of fields with electric charges ⓘ interaction of fields with electric currents ⓘ
expressedIn	differential form ⓘ integral form ⓘ
field	classical electromagnetism ⓘ classical field theory ⓘ
form	set of four partial differential equations ⓘ
formulatedBy	James Clerk Maxwell ⓘ
formulatedIn	19th century ⓘ
foundationFor	classical electrodynamics ⓘ classical optics ⓘ electromagnetic wave theory ⓘ
generalizedBy	quantum electrodynamics ⓘ
implies	existence of electromagnetic waves ⓘ finite speed of propagation of electromagnetic interactions ⓘ
namedAfter	James Clerk Maxwell ⓘ
predicts	speed of light in vacuum ⓘ
relates	electric charge density ⓘ electric current density ⓘ electric field ⓘ magnetic field ⓘ
representedUsing	electromagnetic field tensor ⓘ
satisfies	Lorentz invariance ⓘ
usedIn	antenna design ⓘ computational electromagnetics ⓘ electrical engineering ⓘ microwave engineering ⓘ optical fiber communications ⓘ plasma physics ⓘ radio engineering ⓘ
uses	curl operator ⓘ divergence operator ⓘ vector calculus ⓘ
validIn	non-relativistic classical limit ⓘ

Referenced by (45)

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

On the Electrodynamics of Moving Bodies → basedOn → Maxwell's equations ⓘ

James Clerk Maxwell → knownFor → Maxwell's equations ⓘ

Huygens–Fresnel principle → approximationOf → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Newtonian optics → followedBy → Maxwell's equations ⓘ

this entity surface form: Maxwellian electromagnetism

Maxwell stress tensor → relatedTo → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

On Physical Lines of Force → laidFoundationFor → Maxwell's equations ⓘ

A Treatise on Electricity and Magnetism → formulates → Maxwell's equations ⓘ

this entity surface form: Maxwell’s equations

Oliver Heaviside → knownFor → Maxwell's equations ⓘ

this entity surface form: reformulation of Maxwell's equations

Gauss’s law → partOf → Maxwell's equations ⓘ

subject surface form: Gauss's law

Gauss’s law → relatedConcept → Maxwell's equations ⓘ

subject surface form: Gauss's law

Gaussian units → relatedConcept → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Gauss's law for magnetism → expressedIn → Maxwell's equations ⓘ

Faraday's law of induction → componentOf → Maxwell's equations ⓘ

Ampère–Maxwell law → partOf → Maxwell's equations ⓘ

special relativity → consistentWith → Maxwell's equations ⓘ

this entity surface form: Maxwell’s equations

wave theory of light → relatedTo → Maxwell's equations ⓘ

Fresnel equations → basedOn → Maxwell's equations ⓘ

Poynting vector → isDefinedIn → Maxwell's equations ⓘ

this entity surface form: Maxwell theory

Lorentz force → relatedTo → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

A Dynamical Theory of the Electromagnetic Field → introducedConcept → Maxwell's equations ⓘ

Einstein–Maxwell equations → basedOn → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Einstein–Maxwell equations → relatedTo → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Kirchhoff's circuit laws → relatedTo → Maxwell's equations ⓘ

electron theory of matter → category → Maxwell's equations ⓘ

this entity surface form: classical electromagnetism

Lorentz ether theory → compatibleWith → Maxwell's equations ⓘ

telegrapher's equations → basedOn → Maxwell's equations ⓘ

Hertzian waves → confirmedTheoryOf → Maxwell's equations ⓘ

Hertzian waves → areDescribedBy → Maxwell's equations ⓘ

Kirchhoff diffraction theory → approximationOf → Maxwell's equations ⓘ

Lenz's law → componentOf → Maxwell's equations ⓘ

this entity surface form: Maxwell's equations framework

Gaussian surface → relatedConcept → Maxwell's equations ⓘ

Coulomb's law → isSpecialCaseOf → Maxwell's equations ⓘ

this entity surface form: Maxwell's equations in electrostatic limit

Ampère's force law → compatibleWith → Maxwell's equations ⓘ

spacetime algebra → simplifies → Maxwell's equations ⓘ

this entity surface form: Maxwell’s equations

Born–Infeld electrodynamics → modifies → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Sommerfeld–Brillouin precursor theory → basedOn → Maxwell's equations ⓘ

Vlasov equation (for long-range interactions and negligible collisions) → combinedWith → Maxwell's equations ⓘ

subject surface form: Vlasov equation

this entity surface form: Maxwell equations

photon → obeysTheory → Maxwell's equations ⓘ

this entity surface form: Maxwell's equations (classical limit)

RF engineering → requiresKnowledgeOf → Maxwell's equations ⓘ

Electricity and Magnetism → topic → Maxwell's equations ⓘ

Theoretical Elements of Electrical Engineering → influencedBy → Maxwell's equations ⓘ

textbook "Quantum Electronics" → containsMathematics → Maxwell's equations ⓘ

subject surface form: Quantum Electronics

this entity surface form: Maxwell equations

Poynting theorem → isFormulatedInTermsOf → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Larmor formula → derivedFrom → Maxwell's equations ⓘ

this entity surface form: Maxwell equations

Aether and Matter → relatedTo → Maxwell's equations ⓘ