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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Gauss's law | 5 |
| Gauss's law for electricity | 2 |
| Gauss’s law canonical | 2 |
| Gauss’s law for electricity | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T228922 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Gauss’s law Context triple: [Carl Friedrich Gauss, notableWork, Gauss’s law]
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A.
Maxwell's equations
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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B.
Maxwell stress tensor
The Maxwell stress tensor is a mathematical construct in classical electromagnetism that represents how electric and magnetic fields transmit mechanical stresses, such as pressure and tension, through space and matter.
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C.
A Treatise on Electricity and Magnetism
A Treatise on Electricity and Magnetism is James Clerk Maxwell’s foundational 19th-century work that systematically formulated the classical theory of electromagnetism, including the famous Maxwell’s equations.
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D.
On Physical Lines of Force
"On Physical Lines of Force" is an 1861–62 series of papers by James Clerk Maxwell that introduced the field concept and laid the foundations for classical electromagnetic theory.
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E.
law of universal gravitation
The law of universal gravitation is Newton’s fundamental physical law stating that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Gauss’s law Target entity description: 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.
-
A.
Maxwell's equations
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.
-
B.
Maxwell stress tensor
The Maxwell stress tensor is a mathematical construct in classical electromagnetism that represents how electric and magnetic fields transmit mechanical stresses, such as pressure and tension, through space and matter.
-
C.
A Treatise on Electricity and Magnetism
A Treatise on Electricity and Magnetism is James Clerk Maxwell’s foundational 19th-century work that systematically formulated the classical theory of electromagnetism, including the famous Maxwell’s equations.
-
D.
On Physical Lines of Force
"On Physical Lines of Force" is an 1861–62 series of papers by James Clerk Maxwell that introduced the field concept and laid the foundations for classical electromagnetic theory.
-
E.
law of universal gravitation
The law of universal gravitation is Newton’s fundamental physical law stating that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
- F. None of above. chosen
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
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Gauss’s law Description of subject: 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.
Referenced by (10)
Full triples — surface form annotated when it differs from this entity's canonical label.