Ampère–Maxwell law
E32547
The Ampère–Maxwell law is one of Maxwell’s equations that relates magnetic fields to electric currents and changing electric fields, thereby introducing the concept of displacement current and enabling the prediction of electromagnetic waves.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Ampère's circuital law | 3 |
| Ampère–Maxwell law canonical | 2 |
| Maxwell displacement current | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T244217 — 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: Ampère–Maxwell law Context triple: [Maxwell's equations, consistsOf, Ampère–Maxwell law]
-
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.
Faraday's law of induction
Faraday's law of induction is a fundamental principle of electromagnetism that relates changing magnetic flux through a circuit to the induced electromotive force (voltage) in that circuit.
-
C.
Gauss's law for magnetism
Gauss's law for magnetism is the Maxwell equation stating that magnetic monopoles do not exist and that magnetic field lines always form closed loops with zero net flux through any closed surface.
-
D.
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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E.
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.
- 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: Ampère–Maxwell law Target entity description: The Ampère–Maxwell law is one of Maxwell’s equations that relates magnetic fields to electric currents and changing electric fields, thereby introducing the concept of displacement current and enabling the prediction of electromagnetic waves.
-
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.
Faraday's law of induction
Faraday's law of induction is a fundamental principle of electromagnetism that relates changing magnetic flux through a circuit to the induced electromotive force (voltage) in that circuit.
-
C.
Gauss's law for magnetism
Gauss's law for magnetism is the Maxwell equation stating that magnetic monopoles do not exist and that magnetic field lines always form closed loops with zero net flux through any closed surface.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Maxwell equation
ⓘ
electromagnetic law ⓘ physical law ⓘ |
| applicableIn |
material media
ⓘ
vacuum ⓘ |
| category | laws of electromagnetism ⓘ |
| containsConstant |
vacuum permeability μ₀
ⓘ
vacuum permittivity ε₀ ⓘ |
| containsTerm |
curl of magnetic field
ⓘ
current density ⓘ time derivative of electric field ⓘ |
| corrects | original Ampère's law for time-varying fields ⓘ |
| dimension | vector equation ⓘ |
| enables | prediction of electromagnetic waves ⓘ |
| ensures |
charge conservation consistency
ⓘ
continuity equation compatibility ⓘ |
| expressedIn |
differential form
ⓘ
integral form ⓘ |
| field | electromagnetism ⓘ |
| generalizes |
Ampère–Maxwell law
self-linksurface differs
ⓘ
surface form:
Ampère's circuital law
|
| hasComponent |
conduction current term
ⓘ
displacement current term ⓘ |
| historicalRole | completion of Maxwell's equations ⓘ |
| implies | existence of electromagnetic waves in vacuum ⓘ |
| introducedBy | James Clerk Maxwell ⓘ |
| introducesConcept | displacement current density ⓘ |
| mathematicalOperator | curl operator ∇× ⓘ |
| namedAfter |
André-Marie Ampère
ⓘ
James Clerk Maxwell ⓘ |
| partOf | Maxwell's equations ⓘ |
| relatedConcept |
Ampère–Maxwell law
self-linksurface differs
ⓘ
surface form:
Maxwell displacement current
continuity equation for electric charge ⓘ electromagnetic wave propagation ⓘ |
| relates |
changing electric field
ⓘ
displacement current ⓘ electric current ⓘ magnetic field ⓘ |
| relatesQuantity |
current density J
ⓘ
electric field E ⓘ magnetic field B ⓘ |
| standardFormIntegral | ∮_C B · dl = μ₀I_enclosed + μ₀ε₀ dΦ_E/dt ⓘ |
| standardFormSI | ∇ × B = μ₀J + μ₀ε₀ ∂E/∂t ⓘ |
| usedIn |
analysis of capacitors with time-varying fields
ⓘ
antenna theory ⓘ derivation of wave equation for electromagnetic fields ⓘ electromagnetic field theory ⓘ electromagnetic radiation analysis ⓘ |
| validIn | classical electromagnetism ⓘ |
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: Ampère–Maxwell law Description of subject: The Ampère–Maxwell law is one of Maxwell’s equations that relates magnetic fields to electric currents and changing electric fields, thereby introducing the concept of displacement current and enabling the prediction of electromagnetic waves.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Ampère's circuital law
this entity surface form:
Ampère's circuital law
this entity surface form:
Maxwell displacement current
this entity surface form:
Ampère's circuital law