Ampère's force law

E158699

Ampère's force law is a fundamental principle in electromagnetism that quantifies the mechanical force between electric currents in conductors.

All labels observed (2)

Label Occurrences
Ampère's force law canonical 2
Ampère's law 1

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf classical physics law
law of electromagnetism
physical law
appliesTo current-carrying wires
steady electric currents
approximationOf magnetic interaction between moving charges
assumes long straight parallel conductors
quasi-static conditions
category magnetic force law
compatibleWith Maxwell's equations
conceptualBasisFor electromagnetic unit of current
dependsOn distance between conductors
permeability of free space
product of the currents
describes force between electric currents
mechanical force between current-carrying conductors
domain macroscopic conductors
expresses force per unit length between parallel currents
field electromagnetism
formulatedBy André-Marie Ampère
generalizedBy Lorentz force
surface form: Lorentz force law
hasConsequence currents in parallel power lines exert forces on each other
design constraints in high-current busbars
hasUnit ampere for current
meter for length
newton for force
historicalPeriod 19th century
involves direction of current
separation vector between conductors
vector nature of force
isPartOf classical electrodynamics
magnetostatics
languageOfOriginalPublication French
mathematicalForm F∝I₁I₂ℓ∕r
namedAfter André-Marie Ampère
predicts attraction between parallel currents in the same direction
repulsion between parallel currents in opposite directions
relatedTo Ampère–Maxwell law
surface form: Ampère's circuital law

Biot–Savart law
relatesQuantity electric current
magnetic interaction
mechanical force
requires closed electric circuits
standardFormSI F∕ℓ = μ₀ I₁ I₂ ∕ (2π r)
taughtIn undergraduate electromagnetism courses
usedFor definition of the ampere in older SI system
validInLimit non-relativistic regime
yearProposed 1820s

How these facts were elicited

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

André-Marie Ampère notableWork Ampère's force law
André-Marie Ampère hasPart Ampère's force law
A Dynamical Theory of the Electromagnetic Field basedOn Ampère's force law
this entity surface form: Ampère's law