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.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| Gauss's law | 1 |
| Gauss's law for electricity | 2 |
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 ⓘ |
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Gauss's law for electricity
this entity surface form:
Gauss's law
this entity surface form:
Gauss's law for electricity