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In physics, specifically electromagnetism, the Biot–Savart law (/ ˈ b iː oʊ s ə ˈ v ɑːr / or / ˈ b j oʊ s ə ˈ v ɑːr /) [1] is an equation describing the magnetic field generated by a constant electric current. It relates the magnetic field to the magnitude, direction, length, and proximity of the electric current.
Biot–Savart law describes the magnetic field set up by a steady current density. Named for Jean-Baptiste Biot and Félix Savart . Birch's law , in geophysics , establishes a linear relation of the compressional wave velocity of rocks and minerals of a constant average atomic weight.
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 Faraday's law can be incorporated into the Maxwell–Faraday equation. Nonetheless they are still very effective for simple calculations. Lenz's law; Coulomb's law; Biot–Savart law ...
Magnetostatics is the study of magnetic fields in systems where the currents are steady (not changing with time). It is the magnetic analogue of electrostatics, where the charges are stationary.
Benford's law: Mathematics: Frank Benford: Beer–Lambert law: Optics: August Beer, Johann Heinrich Lambert: Bernoulli's principle Bernoulli's equation: Physical sciences: Daniel Bernoulli: Biot–Savart law: Electromagnetics, fluid dynamics: Jean Baptiste Biot and Félix Savart: Birch's law: Geophysics: Francis Birch: Bogoliubov–Born–Green ...
Alternatively, introductory treatments of magnetism introduce the Biot–Savart law, which describes the magnetic field associated with an electric current. An observer at rest with respect to a system of static, free charges will see no magnetic field.
Jean-Baptiste Biot (/ ˈ b iː oʊ, ˈ b j oʊ /; [2] French:; 21 April 1774 – 3 February 1862) was a French physicist, astronomer, and mathematician who co-discovered the Biot–Savart law of magnetostatics with Félix Savart, established the reality of meteorites, made an early balloon flight, and studied the polarization of light.
The magnetic field generated by a steady current I (a constant flow of electric charges, in which charge neither accumulates nor is depleted at any point) [note 8] is described by the Biot–Savart law: [21]: 224 = ^, where the integral sums over the wire length where vector dℓ is the vector line element with direction in the same sense as ...