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In physics, a magnetic field is an entity produced by moving electric charges ( electric currents) that exerts a force on other moving charges. (The quantum-mechanical spin of a particle produces magnetic fields and is acted on by them as though it were a current; this accounts for the fields produced by "permanent" ferromagnets.)

A magnetic field is a vector field: it associates with every point in space a vector that may vary in time. The direction of the field is the equilibrium direction of a compass needle placed in the field.

Magnetic field is usually denoted by the symbol . Historically, was called the magnetic flux density or the magnetic induction, and was called the magnetic field, and this terminology is still often used to distinguish the two in the context of magnetic materials (non-trivial μ). Otherwise, however, this distinction is often ignored, and both symbols are frequently referred to as the magnetic field. (Some authors call H the auxiliary field, instead.)

1 Formal definition

Like the electric field, the magnetic field can be defined by the force it produces:

where

F is the force produced, measured in newtons

indicates a vector cross product is electric charge, measured in coulombs is velocityVelocity (symbol: v is a vector measurement of the rate and direction of motion. The scalar absolute value ( magnitude) of velocity is speed. Velocity can also be defined as rate of change of displacement or just as the rate of displacement, depending on, measured in metre per secondMetre per second ( U. spelling: meter per second is an SI derived unit of both speed ( scalar) and velocity ( vector), defined by distance in metres divided by time in seconds. The symbol is m/s or equivalently, m s-1 . Some examples of speeds in m/s: Con

B is the magnetic field strength or magnetic flux density, measured in TeslaThe tesla (symbol T is the SI derived unit of magnetic flux density (or magnetic inductivity). At the Conference Generale des Poids et Mesures (CGPM) in Paris in 1960, the unit was named in honor of the Serbian- American inventor and electrical engineer N

This law is called the LorentzHendrik Antoon Lorentz ( July 18, 1853, Arnhem February 4, 1928, Haarlem) was a Dutch physicist and the winner of the 1902 Nobel Prize in Physics for his work on electromagnetic radiation. Lorentz attended primary school in Arnhem until he was 13 years of force law. The simplest mathematical statement describing how magnetic fields are produced makes use of vector calculusMultivariate calculus Vector calculus is a field of mathematics concerned with multivariate real analysis of vectors in 2 or more dimensions. It consists of a suite of formulas and problem solving techniques very useful for engineering and physics. We con.

In free spaceThe article on the vacuum cleaner is located elsewhere. In physics, a vacuum is the absence of matter in a volume of space. A partial vacuum is expressed in units of pressure. The SI unit of pressure is the pascal (abbreviated to Pa in usage). It can also:

where

is the curlThis article is about curl in mathematics, see also Curl programming language and cURL, the Unix command line tool for transferring files. In vector calculus, curl is a vector operator that shows a vector field's tendency to rotate about a point. A vector operator is the divergence operator is permeability is current density is the partial derivative is the free-space permittivity is the electric field is time

The first equation is known as Ampère's law with Maxwell's correction. The second term of this equation (Maxwell's correction) disappears in static or quasi-static systems. The second equation is a statement of the observed non-existence of magnetic monopoles. These are two of Maxwell's equations.



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