Steinmetz’s law of hysteresis
E61292
Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Steinmetz’s law of hysteresis canonical | 1 |
| generalized Steinmetz equation | 1 |
| improved generalized Steinmetz equation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T490382 — 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: Steinmetz’s law of hysteresis Context triple: [Charles Proteus Steinmetz, knownFor, Steinmetz’s law of hysteresis]
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A.
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.
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B.
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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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.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
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E.
de Haas–van Alphen effect
The de Haas–van Alphen effect is a quantum oscillatory phenomenon in metals where the magnetization varies periodically with applied magnetic field, allowing precise mapping of the electronic structure and Fermi surface.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Steinmetz’s law of hysteresis Target entity description: Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
-
A.
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.
-
B.
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.
-
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.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
-
E.
de Haas–van Alphen effect
The de Haas–van Alphen effect is a quantum oscillatory phenomenon in metals where the magnetization varies periodically with applied magnetic field, allowing precise mapping of the electronic structure and Fermi surface.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
empirical law
ⓘ
physical law ⓘ |
| appliesTo |
ferromagnetic cores
ⓘ
magnetic materials ⓘ |
| assumes |
empirical power-law dependence on flux density
ⓘ
empirical power-law dependence on frequency ⓘ |
| category |
magnetic loss model
ⓘ
transformer design rule of thumb ⓘ |
| characteristicExponentRange | n typically between 1.5 and 2.5 ⓘ |
| coefficientDependsOn |
magnetic material type
ⓘ
material processing ⓘ operating temperature ⓘ |
| commonlyAppliedTo |
ferrite cores
ⓘ
silicon steel laminations ⓘ |
| defines | power loss density as proportional to f B_max^n ⓘ |
| expresses | loss per unit volume ⓘ |
| field |
electrical engineering
ⓘ
magnetics ⓘ |
| generalizedBy |
Steinmetz’s law of hysteresis
self-linksurface differs
ⓘ
surface form:
generalized Steinmetz equation
Steinmetz’s law of hysteresis self-linksurface differs ⓘ
surface form:
improved generalized Steinmetz equation
|
| hasFormula | P = k f B_max^n ⓘ |
| hasParameter |
B_max (maximum flux density)
ⓘ
f (frequency) ⓘ k (Steinmetz coefficient) ⓘ n (Steinmetz exponent) ⓘ |
| influencedBy | magnetic domain behavior ⓘ |
| isApproximationOf | area of the hysteresis loop ⓘ |
| limitation |
reduced accuracy at high frequencies
ⓘ
reduced accuracy for non-sinusoidal waveforms ⓘ |
| lossType | hysteresis loss in magnetic cores ⓘ |
| namedAfter | Charles Proteus Steinmetz ⓘ |
| neglects | separation of hysteresis and eddy current losses ⓘ |
| relates |
frequency of magnetization
ⓘ
hysteresis loss per cycle ⓘ maximum magnetic flux density ⓘ |
| usedFor |
design of AC inductors
ⓘ
design of AC magnetic devices ⓘ design of transformers ⓘ estimation of core losses ⓘ estimation of hysteresis losses ⓘ |
| usedIn |
induction motor core loss calculations
ⓘ
magnetic component design handbooks ⓘ transformer core loss calculations ⓘ |
| validityCondition |
approximately sinusoidal excitation
ⓘ
narrow range of flux density ⓘ narrow range of frequency ⓘ |
| yearProposed | 1892 ⓘ |
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: Steinmetz’s law of hysteresis Description of subject: Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.