Disambiguation evidence for Gauss’s law via surface form

"Gauss's law"


As subject (48)

Triples where this entity appears as subject under the label "Gauss's law".

Predicate Object
MaxwellEquationNumber first Maxwell equation in differential form
appliesTo closed surface
appliesTo electrostatics
appliesTo 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
field electromagnetism
generalizedForm ∮_S D · dA = Q_free_enclosed
historicalAttribution formulated by Carl Friedrich Gauss in early 19th century
holdsIn linear dielectric media
holdsIn vacuum
implies electric field lines originate and terminate on charges
instanceOf law of electromagnetism
instanceOf physical law
mathematicalForm ∮_S E · dA = Q_enclosed / ε₀
namedAfter Carl Friedrich Gauss
partOf Maxwell's equations
relatedConcept Coulomb's law
relatedConcept Gaussian surface
relatedConcept Maxwell's equations
relatedConcept charge density
relatedConcept electric flux
relates electric charge
relates electric displacement field to free charge
relates electric field divergence to charge density
relates electric flux
requires Gaussian surface selection
symbol ∮_S E · dA = Q_enc / ε₀
usedFor calculating electric fields with high symmetry
usedFor cylindrical charge distributions
usedFor planar charge distributions
usedFor spherical charge distributions
usedIn electrical engineering
usedIn electrostatics problem solving
usedIn physics education
usesSymbol D
usesSymbol E
usesSymbol Q_enclosed
usesSymbol dA
usesSymbol ε₀
usesSymbol ρ

As object (1)

Triples where some other subject referred to this entity as "Gauss's law".

Maxwell's equations consistsOf
"Gauss's law"
↳ resolves to Gauss’s law