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The tesla (symbol: T) is the unit of magnetic flux density (also called magnetic B-field strength) in the
International System of Units The International System of Units, known by the international abbreviation SI in all languages and sometimes pleonastically as the SI system, is the modern form of the metric system and the world's most widely used system of measurement. E ...
(SI). One tesla is equal to one
weber Weber (, or ; German: ) is a surname of German origin, derived from the noun meaning " weaver". In some cases, following migration to English-speaking countries, it has been anglicised to the English surname 'Webber' or even 'Weaver'. Notable pe ...
per
square metre The square metre ( international spelling as used by the International Bureau of Weights and Measures) or square meter (American spelling) is the unit of area in the International System of Units (SI) with symbol m2. It is the area of a square w ...
. The unit was announced during the
General Conference on Weights and Measures The General Conference on Weights and Measures (GCWM; french: Conférence générale des poids et mesures, CGPM) is the supreme authority of the International Bureau of Weights and Measures (BIPM), the intergovernmental organization established i ...
in 1960 and is named in honour of Serbian-American electrical and mechanical engineer Nikola Tesla, upon the proposal of the Slovenian electrical engineer
France Avčin France Avčin (6 October 1910 – 21 February 1984) was a Slovenes, Slovenian Electrical engineering, electrical engineer, inventor, and Search and rescue, mountain safety expert. He was the first post–World War II president of the Alpine Associa ...
.


Definition

A particle, carrying a charge of one
coulomb The coulomb (symbol: C) is the unit of electric charge in the International System of Units (SI). In the present version of the SI it is equal to the electric charge delivered by a 1 ampere constant current in 1 second and to elementary char ...
(C), and moving perpendicularly through a magnetic field of one tesla, at a speed of one metre per second (m/s), experiences a force with magnitude one
newton Newton most commonly refers to: * Isaac Newton (1642–1726/1727), English scientist * Newton (unit), SI unit of force named after Isaac Newton Newton may also refer to: Arts and entertainment * ''Newton'' (film), a 2017 Indian film * Newton ( ...
(N), according to the
Lorentz force law Lorentz is a name derived from the Roman surname, Laurentius, which means "from Laurentum". It is the German form of Laurence. Notable people with the name include: Given name * Lorentz Aspen (born 1978), Norwegian heavy metal pianist and keyboar ...
. That is, : \text = \dfrac. As an
SI derived unit SI derived units are units of measurement derived from the seven base units specified by the International System of Units (SI). They can be expressed as a product (or ratio) of one or more of the base units, possibly scaled by an appropriate po ...
, the tesla can also be expressed in terms of other units. For example, a
magnetic flux In physics, specifically electromagnetism, the magnetic flux through a surface is the surface integral of the normal component of the magnetic field B over that surface. It is usually denoted or . The SI unit of magnetic flux is the weber ( ...
of 1
weber Weber (, or ; German: ) is a surname of German origin, derived from the noun meaning " weaver". In some cases, following migration to English-speaking countries, it has been anglicised to the English surname 'Webber' or even 'Weaver'. Notable pe ...
(Wb) through a surface of one square meter is equal to a magnetic flux density of 1 tesla.''The International System of Units (SI), 8th edition'',
BIPM The International Bureau of Weights and Measures (french: Bureau international des poids et mesures, BIPM) is an intergovernmental organisation, through which its 59 member-states act together on measurement standards in four areas: chemistry, ...
, eds. (2006),
Table 3. Coherent derived units in the SI with special names and symbols
That is, : \text = \dfrac. Expressed only in
SI base unit The SI base units are the standard units of measurement defined by the International System of Units (SI) for the seven base quantities of what is now known as the International System of Quantities: they are notably a basic set from which all ...
s, 1 tesla is: : \text = \dfrac, where A =
ampere The ampere (, ; symbol: A), often shortened to amp,SI supports only the use of symbols and deprecates the use of abbreviations for units. is the unit of electric current in the International System of Units (SI). One ampere is equal to elect ...
, kg =
kilogram The kilogram (also kilogramme) is the unit of mass in the International System of Units (SI), having the unit symbol kg. It is a widely used measure in science, engineering and commerce worldwide, and is often simply called a kilo colloquially ...
, and s =
second The second (symbol: s) is the unit of time in the International System of Units (SI), historically defined as of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds ...
. Additional equivalences result from the derivation of coulombs from
ampere The ampere (, ; symbol: A), often shortened to amp,SI supports only the use of symbols and deprecates the use of abbreviations for units. is the unit of electric current in the International System of Units (SI). One ampere is equal to elect ...
s (A), \text = \text \cdot \text: : \text = \dfrac, the relationship between newtons and joules (J), \text = \text \cdot \text: : \text = \dfrac, and the derivation of the weber from volts (V), \text = \text \cdot \text: : \text = \dfrac.


Electric vs. magnetic field

In the production of the
Lorentz force In physics (specifically in electromagnetism) the Lorentz force (or electromagnetic force) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge moving with a velocity in an elect ...
, the difference between electric fields and magnetic fields is that a force from a
magnetic field A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
on a charged particle is generally due to the charged particle's movement, while the force imparted by an electric field on a charged particle is not due to the charged particle's movement. This may be appreciated by looking at the units for each. The unit of
electric field An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field fo ...
in the MKS system of units is newtons per coulomb, N/C, while the magnetic field (in teslas) can be written as N/(C⋅m/s). The dividing factor between the two types of field is metres per second (m/s), which is velocity. This relationship immediately highlights the fact that whether a static
electromagnetic field An electromagnetic field (also EM field or EMF) is a classical (i.e. non-quantum) field produced by (stationary or moving) electric charges. It is the field described by classical electrodynamics (a classical field theory) and is the classical c ...
is seen as purely magnetic, or purely electric, or some combination of these, is dependent upon one's reference frame (that is, one's velocity relative to the field). In ferromagnets, the movement creating the magnetic field is the electron spin (and to a lesser extent electron orbital angular momentum). In a current-carrying wire ( electromagnets) the movement is due to electrons moving through the wire (whether the wire is straight or circular).


Conversion no non-SI units

One tesla is equivalent to: : 10,000 (or 104) G ( gauss), used in the CGS system. Thus, 1 G = 10−4 T = 100 μT (microtesla). : 1,000,000,000 (or 109) γ (gamma), used in geophysics. Thus, 1 γ = 1 nT (nanotesla). For the relation to the units of the magnetising field (ampere per metre or Oersted), see the article on permeability.


Examples

The following examples are listed in the ascending order of the magnetic-field strength. * 3.2 × 10−5 T (31.869 μT) – strength of Earth's magnetic field at 0° latitude, 0° longitude * 4 × 10−5 T (40 μT) – walking under a
high-voltage power line Electric power transmission is the bulk movement of electrical energy from a power generation, generating site, such as a power plant, to an electrical substation. The interconnected lines that facilitate this movement form a ''transmission net ...
* 5 × 10−3 T (5 mT) – the strength of a typical refrigerator magnet * 0.3 T – the strength of solar sunspots * 1.25 T – magnetic flux density at the surface of a
neodymium magnet A hard_disk_drive.html"_;"title="Nickel-plated_neodymium_magnet_on_a_bracket_from_a_hard_disk_drive">Nickel-plated_neodymium_magnet_on_a_bracket_from_a_hard_disk_drive_ file:Nd-magnet.jpg.html" ;"title="hard_disk_drive_.html" ;"title="hard_disk_d ...
* 1 T to 2.4 T – coil gap of a typical loudspeaker magnet * 1.5 T to 3 T – strength of medical
magnetic resonance imaging Magnetic resonance imaging (MRI) is a medical imaging technique used in radiology to form pictures of the anatomy and the physiological processes of the body. MRI scanners use strong magnetic fields, magnetic field gradients, and radio wave ...
systems in practice, experimentally up to 17 T * 4 T – strength of the superconducting magnet built around the CMS detector at
CERN The European Organization for Nuclear Research, known as CERN (; ; ), is an intergovernmental organization that operates the largest particle physics laboratory in the world. Established in 1954, it is based in a northwestern suburb of Gene ...
* 5.16 T – the strength of a specially designed room temperature Halbach array * 8 T – the strength of
LHC The Large Hadron Collider (LHC) is the world's largest and highest-energy particle collider. It was built by the European Organization for Nuclear Research (CERN) between 1998 and 2008 in collaboration with over 10,000 scientists and hundre ...
magnets * 11.75 T – the strength of INUMAC magnets, largest MRI scanner * 13 T – strength of the superconducting
ITER ITER (initially the International Thermonuclear Experimental Reactor, ''iter'' meaning "the way" or "the path" in Latin) is an international nuclear fusion research and engineering megaproject aimed at creating energy by replicating, on Earth ...
magnet system * 14.5 T – highest magnetic field strength ever recorded for an accelerator steering magnet at Fermilab * 16 T – magnetic field strength required to levitate a frog (by diamagnetic levitation of the water in its body tissues) according to the 2000 Ig Nobel Prize in Physics * 17.6 T – strongest field trapped in a superconductor in a lab as of July 2014 * 27 T – maximal field strengths of superconducting electromagnets at cryogenic temperatures * 35.4 T – the current (2009) world record for a superconducting electromagnet in a background magnetic field * 45 T – the current (2015) world record for continuous field magnets * 97.4 T – strongest magnetic field produced by a "non-destructive" magnet * 100 T – approximate magnetic field strength of a typical white dwarf star * 1200 T – the field, lasting for about 100 microseconds, formed using the electromagnetic flux-compression technique''D. Nakamura, A. Ikeda, H. Sawabe, Y. H. Matsuda, and S. Takeyama (2018)''
Magnetic field milestone
/ref> * 109 T – Schwinger limit above which the electromagnetic field itself is expected to become nonlinear * 108 – 1011 T (100 MT – 100 GT) – magnetic strength range of magnetar neutron stars


Notes and references


External links


Gauss ↔ Tesla Conversion Tool
{{DEFAULTSORT:Tesla (Unit) SI derived units Units of magnetic flux density 1960 introductions Nikola Tesla