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Law of classical electromagnetism
In physics, specifically electromagnetism, the Biot–Savart law (/ˈbiːoʊ səˈvɑːr/ or /ˈbjoʊ səˈvɑːr/) is an equation describing the magnetic field generated
Biot–Savart_law
French physicist
Félix Savart (/səˈvɑːr/; French: [savaʁ]; 30 June 1791, Mézières – 16 March 1841, Paris) was a French physicist and mathematician who is primarily known
Félix_Savart
Acoustical device to generate a pitch
The Savart wheel is an acoustical device named after the French physicist Félix Savart (1791–1841), which was originally conceived and developed by the
Savart_wheel
Unit of measurement for musical pitch intervals
The savart /səˈvɑːr/ is a unit of measurement for musical pitch intervals (play). One savart is equal to one thousandth of a decade (10/1: 3,986.313714
Savart
Haitian cross-country skier (born 2000)
Stevenson Savart (born 11 May 2000) is a Haitian and French cross-country skier. He represented Haiti at the 2026 Winter Olympics and bore the nation's
Stevenson_Savart
French physicist (1774–1862)
astronomer, and mathematician who co-discovered the Biot–Savart law of magnetostatics with Félix Savart, established the reality of meteorites, made an early
Jean-Baptiste_Biot
Property of space that quantifies the magnetic influence at a given location
accumulates nor is depleted at any point) is described by the Biot–Savart law: Biot-Savart Law (vector form, SI units) B = μ 0 I 4 π ∫ w i r e d ℓ × r ^ r
Magnetic_field
Musical interval unit
cents = 175.6 savarts = 583.3 millioctaves = 350 centitones. The savart was proposed by Auguste Guillemin in 1902, named after Félix Savart (1791-1841)
Cent_(music)
Class of physical phenomena
Ørsted's Experiment. Jean-Baptiste Biot and Félix Savart, both of whom in 1820 came up with the Biot–Savart law giving an equation for the magnetic field
Magnetism
Physical law
force is that each wire generates a magnetic field, following the Biot–Savart law, and the other wire experiences a magnetic force as a consequence, following
Ampère's_force_law
Equations of electromagnetism
equations are the time-dependent generalizations of Coulomb's law and the Biot–Savart law. An alternative formulation for the electric field by Wolfgang Panofsky
Jefimenko's_equations
Topics referred to by the same term
Laplace's law or Laplace's rule may refer to several concepts: Biot–Savart law, in electromagnetics, describing magnetic field set up by a steady current
Laplace's_law
Fundamental physical law of electromagnetism
{\displaystyle \beta \ll 1} ) can be applied to electric currents to get the Biot–Savart law. These solutions, when expressed in retarded time also correspond to
Coulomb's_law
SI derived unit of power
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Watt
Branch of physics about magnetism in systems with steady electric currents
field can be determined, at a position r, from the currents by the Biot–Savart equation: B ( r ) = μ 0 4 π ∫ J ( r ′ ) × ( r − r ′ ) | r − r ′ | 3 d 3
Magnetostatics
Object that has a magnetic field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Magnet
Concept in classical electromagnetism
\mathbf {J} +{\frac {\partial \mathbf {E} }{\partial t}}\right).} Biot–Savart law Displacement current Capacitance Ampèrian magnetic dipole model Electromagnetic
Ampère's_circuital_law
Rate at which electrical energy is transferred by an electric circuit
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electric_power
Production of voltage by a varying magnetic field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromagnetic_induction
Study of still or slow electric charges
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrostatics
Electromagnetic property of matter
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electric_charge
Electric and magnetic fields produced by moving charged objects
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromagnetic_field
Opposition of a circuit to a current when a voltage is applied
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrical_impedance
Units that are not part of a coherent system
US, "proof number" is defined as twice the ABV at 60 °F (15.6 °C). The savart is an 18th-century unit for measuring the frequency ratio of two sounds
List of non-coherent units of measurement
List_of_non-coherent_units_of_measurement
Sporting event delegation
d'Ampezzo, Italy, between 6 and 22 February 2026. Cross-country skier Stevenson Savart was named as the Haitian flagbearer during the opening ceremony, while alpine
Haiti at the 2026 Winter Olympics
Haiti_at_the_2026_Winter_Olympics
Concept in the physics of electromagnetism
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Magnetic_moment
Types of electrical circuits
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Series_and_parallel_circuits
Charge transfer due to contact or sliding
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Triboelectric_effect
Electrically insulating substance able to be polarised by an applied electric field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Dielectric
English chemist and physicist (1791–1867)
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Michael_Faraday
Italian chemist and physicist (1745–1827)
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Alessandro_Volta
Measure of the electric polarizability of a dielectric material
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Permittivity
Imbalance of electric charges within or on the surface of a material
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Static_electricity
Equations describing classical electromagnetism
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Maxwell's_equations
Force acting on charged particles in electric and magnetic fields
current-carrying wires. Each wire generates a magnetic field, described by the Biot–Savart law, which exerts a Lorentz force on the other wire. If the currents flow
Lorentz_force
Unidirectional flow of electric charge
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Direct_current
Flow of electric charge
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electric_current
Difference in electric potential between two points in space
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Voltage
Electric current that periodically reverses direction
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Alternating_current
Law of electrical current and voltage
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Ohm's_law
Phenomena related to electric charge
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electricity
Fluid dynamics phenomenon
B_{r_{0}}=\{\mathbf {x} \in \mathbb {R} ^{2},~\vert \mathbf {x} \vert >r_{0}\}} the Biot-Savart law v ( x ) = 1 2 π ∫ B r 0 ( x − y ) ⊥ | x − y | 2 w ( y ) d y + v ∞ ,
Stokes'_paradox
Measure of positive and negative charges
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electric_dipole_moment
First star-shaped Bastion fort in Japan
fortresses) in Cours élémentaire de fortification (first edition 1812) by Nicolas Savart (1765–1825), used as a textbook for fortification studies at the French
Hekirichi_Bastion_Fort
Basic law of electromagnetism
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Faraday's_law_of_induction
French physicist and mathematician (1775–1836)
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
André-Marie_Ampère
Assemblage of connected electrical elements
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrical_network
Electrical action produced by a non-electrical source
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromotive_force
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Earth's_magnetic_field
Technique in chemistry and manufacturing
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrolysis
Resistance to magnetic flux
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Magnetic_reluctance
Specialty of electronic engineering
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Radio-frequency_engineering
Type of pump
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromagnetic_pump
Object or material which allows the flow of electric charge with little energy loss
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrical_conductor
Mathematical concept in vector calculus
vector field and an irrotational vector field. By analogy with the Biot–Savart law, A ″ ( x ) {\displaystyle \mathbf {A''} (\mathbf {x} )} also qualifies
Vector_potential
Magnetic analog of electric potential valid outside materials
free current, one may subtract the contributions of free current per Biot–Savart law from total magnetic field and solve the remainder with the scalar potential
Magnetic_scalar_potential
Recoil force on accelerating charged particle
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Abraham–Lorentz_force
Physical quantity, density of magnetic moment per volume
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Magnetization
Foundational law of electromagnetism relating electric field and charge distributions
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Gauss's_law
Material property
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Permeance
Loops of electric current induced within conductors by a changing magnetic field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Eddy_current
Measurement scale based on orders of magnitude
needles. bit, byte hartley nat shannon bel, decibel neper decade, decidecade, savart octave, tone, semitone, cent The two definitions of a decibel are equivalent
Logarithmic_scale
College Board examinations
inductance, RL circuits, LC circuits, and the equations of Maxwell and Biot-Savart. These topics are weighted on each exam as follows: AP courses were first
AP_Physics
Fundamental interaction between charged particles
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromagnetism
Amount of charge flowing through a unit cross-sectional area per unit time
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Current_density
Motor which works on direct current
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
DC_motor
Electromechanical apparatus for generating electric musical notes
audible, before the existence of the vacuum tube. Alexanderson alternator Savart wheel This is electrically and magnetically similar to a guitar pickup,
Tonewheel
Fluid breakup of a falling stream
break up of liquid jets into droplets and its wave behaviour was Félix Savart in 1833. Photography was not yet available, but he used stroboscopic light
Plateau–Rayleigh_instability
Variant of the centimetre–gram–second unit system
formulae, whereas the inverse-square force laws – Coulomb's law and the Biot–Savart law – do have a factor of 4π attached to the r2. With Gaussian units, called
Gaussian_units
Physical sciences Daniel Bernoulli Biot–Savart law Electromagnetics, fluid dynamics Jean Baptiste Biot and Félix Savart Birch's law Geophysics Francis Birch
List of scientific laws named after people
List_of_scientific_laws_named_after_people
Electromagnetic effect in physics
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Hall_effect
Prefecture and commune in Grand Est, France
Arthur Rimbaud (1854–1891), the French poet, was born in Charleville. Félix Savart (1791–1841), physicist and mathematician born in Mézières Louis Tirman (1837–1899)
Charleville-Mézières
Electromagnetic opposition to change
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Lenz's_law
Device that generates sounds of constant pitch when struck
change in frequency is used to detect level. Electronic tuner Pitch pipe Savart wheel Tonometer Feldmann, H. (1997). "History of the tuning fork. I: Invention
Tuning_fork
Theorem in physics showing the conservation of energy for the electromagnetic field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Poynting's_theorem
Physical phenomenon in electromagnetic field theory
Alternatively, introductory treatments of magnetism introduce the Biot–Savart law, which describes the magnetic field associated with an electric current
Relativistic_electromagnetism
Heat from a current in an electric conductor
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Joule_heating
French physicist (1736–1806)
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Charles-Augustin_de_Coulomb
British mathematician and electrical engineer (1850–1925)
portal Engineering portal 1850 in science Electric displacement field Biot–Savart law Bridge circuit § Heaviside bridge Anon (1926). "Obituary Notices of
Oliver_Heaviside
Material that does not conduct an electric current
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Insulator_(electricity)
Opposition to the passage of an electric current
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrical resistance and conductance
Electrical_resistance_and_conductance
Sudden flow of electric current between two electrically charged objects by contact
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electrostatic_discharge
Electrical conductivity with exactly zero resistance
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Superconductivity
French mathematician and physicist (1781–1840)
papers attempting to explain the phenomenon. Ampère's force law and the Biot-Savart law were quickly deduced. The science of electromagnetism was born. Poisson
Siméon_Denis_Poisson
Variant of the metric system
finite length dl at a point displaced by a vector r, known as the Biot–Savart law: d B = α B I d l × r ^ r 2 , {\displaystyle d\mathbf {B} =\alpha _{\rm
Centimetre–gram–second system of units
Centimetre–gram–second_system_of_units
Relativistic vector field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electromagnetic four-potential
Electromagnetic_four-potential
Statement based on repeated empirical observations that describes some natural phenomenon
Coulomb's law can be found from Gauss's law (electrostatic form) and the Biot–Savart law can be deduced from Ampere's law (magnetostatic form). Lenz's law and
Scientific_law
Unit for measuring ratios on a logarithmic scale
centidecade and millidecade, respectively. A millidecade is also known as a savart. Cosmic View: The Universe in 40 Jumps Dectave Frequency level Octave One-third
Decade_(log_scale)
Line integral of the electric field
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Electric_potential
Physical quantities taking values at each point in space and time
where B(r) is the magnetic field, which is determined from I by the Biot–Savart law: B ( r ) = μ 0 4 π ∫ I d ℓ × r ^ r 2 . {\displaystyle \mathbf {B} (\mathbf
Field_(physics)
Musical interval
(0.72 cents) Ragisma (0.4 cents) Measurement Cent Centitone Millioctave Savart Others Wolf Ditone Semiditone Secor Incomposite interval List of pitch intervals
Sixth_tone
怡土城跡（糸島市ホームページ）。 起源は16世紀後半の城塞？ 長崎学研究所・赤瀬所長 県庁跡地一帯の石垣研究 長崎新聞、2019-02-17 Savart, Nicolas-Pierre-Antoine (1825). Cours élémentaire de fortification à l'usage
List of foreign-style castles in Japan
List_of_foreign-style_castles_in_Japan
Quetelet William Reid Robert Rigg John Rogers George Leith Roupell Félix Savart William Sharpey Clement Tudway Swanston James Joseph Sylvester Charles Thorp
List of fellows of the Royal Society elected in 1839
List_of_fellows_of_the_Royal_Society_elected_in_1839
Fluid flow revolving around an axis of rotation
Use of circular rotational force to mimic gravity Batchelor vortex Biot–Savart law – Law of classical electromagnetism Coordinate rotation – Motion of
Vortex
Branch of theoretical physics
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Classical_electromagnetism
Norms, values, customs and political systems of the Western world
first battery (1800), the unity of electricity and magnetism (1820), Biot–Savart law (1820), Ohm's law (1827), and Maxwell's equations (1871). The most widely
Western_culture
Quantity in electromagnetism
electricity Triboelectricity Magnetostatics Ampère's law Ampère's force law Biot–Savart law Gauss's law for magnetism Magnetic dipole Magnetic field Magnetic flux
Magnetic_vector_potential
physics, Physical crystallography before X-rays General Coulomb's law, Biot–Savart law, Gauss's law, Ampère's circuital law, Gauss's law for magnetism, Faraday's
History of electromagnetic theory
History_of_electromagnetic_theory
Interval between one musical pitch and another with double its frequency
(0.72 cents) Ragisma (0.4 cents) Measurement Cent Centitone Millioctave Savart Others Wolf Ditone Semiditone Secor Incomposite interval List of pitch intervals
Octave
Musical tuning based on pure intervals
v t e Musical tunings Measurement Pitch Cent Millioctave Savart Interval Interval ratio Pitch class Consonance and dissonance List of pitch intervals List
Just_intonation
SAVART
SAVART
SAVART
SAVART
Boy/Male
Hindu, Indian, Tamil
God of Rama
Boy/Male
Muslim
Kind affectionate, The black cloth of the kaaba
Girl/Female
Indian, Sanskrit
Princess
Boy/Male
Danish American German English French Swedish Scandinavian
Manly.
Surname or Lastname
English (mainly Staffordshire)
English (mainly Staffordshire) : habitational name from Howle in Shropshire, named from Old English hugol ‘hillock’, ‘mound’.
Girl/Female
Hindu
Girl/Female
French English
Bond.
Girl/Female
Hindu, Indian, Marathi, Punjabi, Sanskrit, Sikh
Knowable; What is to be Known
Girl/Female
Arabic, Bengali, Chinese, Danish, French, Hebrew, Indian, Muslim, Pashtun
Lucky; Simple; Fortunate
Boy/Male
Tamil
Mrutavanarajeevana | மரதவஅநாராஜீவந
Reviver of dead monkeys
SAVART
SAVART
SAVART
SAVART
SAVART