Gauss’s law

E29363

Gauss’s law is a fundamental principle of electromagnetism that relates the electric flux through a closed surface to the electric charge enclosed within that surface.

AI illustration

How this image was made

AI-generated illustration of Gauss’s law

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of Gauss’s law (Gauss’s law is a fundamental principle of electromagnetism that relates the electric flux through a closed surface to the electric charge enclosed within that surface.)

All labels observed (5)

Label Occurrences
Gauss's law 5
Gauss's law for electricity 2
Gauss’s law canonical 2

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf law of electromagnetism ⓘ
physical law ⓘ
appliesTo closed surface ⓘ
electrostatics ⓘ
time-varying fields in Maxwell's theory ⓘ
assumes validity of classical electromagnetism ⓘ
category electrostatic law ⓘ
consequenceOf inverse-square nature of electrostatic force ⓘ
constantIn vacuum permittivity ⓘ
coreIdea electric flux through a closed surface is proportional to enclosed charge ⓘ
differentialForm ∇ · E = ρ / ε₀ ⓘ
equivalentTo Coulomb's law under appropriate symmetry conditions ⓘ
expresses relationship between electric flux through a closed surface and enclosed charge ⓘ
field classical physics ⓘ
electromagnetism ⓘ
generalizedForm ∮_S D · dA = Q_free_enclosed ⓘ
historicalAttribution formulated by Carl Friedrich Gauss in early 19th century ⓘ
holdsIn linear dielectric media ⓘ
vacuum ⓘ
implies electric field lines originate and terminate on charges ⓘ
mathematicalForm ∮_S E · dA = Q_enclosed / ε₀ ⓘ
MaxwellEquationNumber first Maxwell equation in differential form ⓘ
namedAfter Carl Friedrich Gauss ⓘ
partOf Maxwell's equations ⓘ
relatedConcept Coulomb's law ⓘ
Gaussian surface ⓘ
Maxwell's equations ⓘ
charge density ⓘ
electric flux ⓘ
relates electric charge ⓘ
electric displacement field to free charge ⓘ
electric field divergence to charge density ⓘ
electric flux ⓘ
requires Gaussian surface selection ⓘ
symbol ∮_S E · dA = Q_enc / ε₀ ⓘ
usedFor calculating electric fields with high symmetry ⓘ
cylindrical charge distributions ⓘ
planar charge distributions ⓘ
spherical charge distributions ⓘ
usedIn electrical engineering ⓘ
electrostatics problem solving ⓘ
physics education ⓘ
usesSymbol D ⓘ
E ⓘ
Q_enclosed ⓘ
dA ⓘ
ε₀ ⓘ
ρ ⓘ

How these facts were elicited

Referenced by (12)

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

Carl Friedrich Gauss → notableWork → Gauss’s law ⓘ
Maxwell's equations → consistsOf → Gauss's law ⓘ
linked to: Gauss’s law
Gauss's law for magnetism → contrastsWith → Gauss's law for electricity ⓘ
linked to: Gauss’s law
A Dynamical Theory of the Electromagnetic Field → basedOn → Gauss's law for electricity ⓘ
linked to: Gauss’s law
Faraday cage → basedOnPrinciple → Gauss's law ⓘ
linked to: Gauss’s law
Gaussian surface → usedIn → Gauss's law ⓘ
linked to: Gauss’s law
Gaussian surface → governedBy → Gauss's law ⓘ
linked to: Gauss’s law
Coulomb's law → relatedConcept → Gauss's law ⓘ
linked to: Gauss’s law
coulomb → appearsInLaw → Gauss’s law for electricity ⓘ
linked to: Gauss’s law
Vector Analysis (with Edwin Bidwell Wilson) → subject → divergence theorem ⓘ
linked to: Gauss’s law
Green's theorem → relatedTo → divergence theorem ⓘ
linked to: Gauss’s law