Gaussian surface
E157379
A Gaussian surface is an imaginary closed surface in space used in applying Gauss's law to calculate electric flux and determine electric fields from charge distributions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gaussian surface canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1382256 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gaussian surface Context triple: [Gauss's law, relatedConcept, Gaussian surface]
-
A.
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.
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B.
Gaussian curvature
Gaussian curvature is a fundamental concept in differential geometry that measures how a surface bends at a point by combining its principal curvatures into a single intrinsic quantity.
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C.
Steinmetz solid
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
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D.
Gaussian integral
The Gaussian integral is a fundamental result in mathematics that evaluates the integral of the exponential of a negative quadratic function over the entire real line, yielding a value proportional to the square root of π and underpinning the normal distribution in probability theory.
-
E.
Gaussian units
Gaussian units are a cgs-based system of electromagnetic units widely used in theoretical physics, especially in electrodynamics, for their mathematical simplicity and symmetry.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Gaussian surface Target entity description: A Gaussian surface is an imaginary closed surface in space used in applying Gauss's law to calculate electric flux and determine electric fields from charge distributions.
-
A.
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.
-
B.
Gaussian curvature
Gaussian curvature is a fundamental concept in differential geometry that measures how a surface bends at a point by combining its principal curvatures into a single intrinsic quantity.
-
C.
Steinmetz solid
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
-
D.
Gaussian integral
The Gaussian integral is a fundamental result in mathematics that evaluates the integral of the exponential of a negative quadratic function over the entire real line, yielding a value proportional to the square root of π and underpinning the normal distribution in probability theory.
-
E.
Gaussian units
Gaussian units are a cgs-based system of electromagnetic units widely used in theoretical physics, especially in electrodynamics, for their mathematical simplicity and symmetry.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
closed surface
ⓘ
concept in electromagnetism ⓘ theoretical construct ⓘ |
| appearsIn |
Maxwell's equations derivations
ⓘ
undergraduate electromagnetism courses ⓘ |
| appliesTo |
conductors in electrostatic equilibrium
ⓘ
continuous charge distributions ⓘ discrete point charges ⓘ |
| associatedWith |
charge distribution
ⓘ
electric field ⓘ electric flux ⓘ |
| chosenFor | symmetry of charge distribution ⓘ |
| coordinateSystem |
often chosen in Cartesian coordinates for planar symmetry
ⓘ
often chosen in cylindrical coordinates ⓘ often chosen in spherical coordinates ⓘ |
| definedAs | a closed surface through which electric flux is evaluated ⓘ |
| exampleOf |
cylindrical surface around an infinite line charge
ⓘ
pillbox surface across an infinite charged plane ⓘ spherical surface around a point charge ⓘ |
| field | electrostatics ⓘ |
| governedBy |
Gauss's law
ⓘ
linked to:
Gauss’s law
|
| hasConstraint |
must fully enclose the charges being considered
ⓘ
surface integral is taken over its entire area ⓘ |
| hasProperty |
closed
ⓘ
imaginary ⓘ |
| inventedBy | Carl Friedrich Gauss ⓘ |
| mathematicalFormulation | ∮_S E · dA = Q_enclosed / ε₀ ⓘ |
| relatedConcept |
Gauss's law in integral form
ⓘ
Maxwell's equations ⓘ electric flux ⓘ symmetry in physics ⓘ |
| relatesQuantity |
electric flux through the surface
ⓘ
net charge enclosed ⓘ permittivity of free space ⓘ |
| requiresCondition | static or quasi-static fields for simple application ⓘ |
| typicalSymmetry |
cylindrical symmetry
ⓘ
planar symmetry ⓘ spherical symmetry ⓘ |
| usedFor |
exploiting symmetry in Maxwell's equations
ⓘ
simplifying electric field calculations ⓘ |
| usedIn |
Gauss's law
ⓘ
linked to:
Gauss’s law
|
| usedTo |
calculate electric flux
ⓘ
determine electric field ⓘ |
| usedToDerive |
field of an infinite charged plane
ⓘ
field of an infinite line charge ⓘ field outside a uniformly charged sphere ⓘ |
| usedToShow |
charge resides on the surface of a conductor in electrostatics
ⓘ
electric field inside a conductor is zero in electrostatic equilibrium ⓘ |
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.
Instruction
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.
Input
Subject: Gaussian surface Description of subject: A Gaussian surface is an imaginary closed surface in space used in applying Gauss's law to calculate electric flux and determine electric fields from charge distributions.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Gauss’s law