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Gauss (unit)

From Wikipedia, the free encyclopedia
Unit of magnetic induction
gauss
Unit systemGaussian andemu-cgs
Unit ofmagnetic flux density (also known asmagnetic induction, or theB-field, or magnetic field)
SymbolGor Gs
Named afterCarl Friedrich Gauss
Conversions
1 Gor Gsin ...... is equal to ...
   SI derived units   10−4 tesla[a]
   Gaussian base units   1 cm−1/2g1/2s−1
   esu-cgs   1/ccgs esu[b]
Carl Friedrich Gauß in 1828, aged 50 years old

Thegauss (symbol:G, sometimesGs) is a unit of measurement of magnetic induction, also known asmagnetic flux density. The unit is part of theGaussian system of units, which inherited it from the oldercentimetre–gram–second electromagnetic units (CGS-EMU) system. It was named after the German mathematician and physicistCarl Friedrich Gauss in 1936. One gauss is defined as onemaxwell per squarecentimetre.

As thecentimetre–gram–second system of units (cgs system) has been superseded by theInternational System of Units (SI), the use of the gauss has been deprecated by the standards bodies, but is still regularly used in various subfields of science, and preferred inastrophysics.[1] The SI unit for magnetic flux density is thetesla (symbol T),[2] which corresponds to10,000gauss.

Name, symbol, and metric prefixes

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Although not a component of the International System of Units, the usage of the gauss generally follows the rules for SI units. Since the name is derived from a person's name, its symbol is the uppercase letter "G". When the unit is spelled out, it is written in lowercase ("gauss"), unless it begins a sentence.[3]: 147–148  The gauss may be combined withmetric prefixes,[4]: 128  such as in milligauss, mG (or mGs), or kilogauss, kG (or kGs).

Unit conversions

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1G=Mxcm2=gBis2 ≘ 104T=104kgAs2{\displaystyle {\begin{aligned}1\,{\rm {G}}&={\rm {Mx}}{\cdot }{\rm {cm}}^{-2}={\frac {\rm {g}}{{\rm {Bi}}{\cdot }{\rm {s}}^{2}}}\\&{\text{ ≘ }}10^{-4}\,{\rm {T}}=10^{-4}{\frac {\rm {kg}}{{\rm {A}}{\cdot }{\rm {s^{2}}}}}\end{aligned}}}

The gauss is the unit of magnetic flux densityB in the system ofGaussian units and is equal toMx/cm2 org/Bi/s2, while theoersted is the unit ofH-field. Onetesla (T) corresponds to 104 gauss, and oneampere (A) per metre corresponds to 4π × 10−3oersted.

The units formagnetic flux Φ, which is theintegral ofmagneticB-field over anarea, are theweber (Wb) in theSI and themaxwell (Mx) in the CGS-Gaussian system. The conversion factor is108 maxwell per weber, sinceflux is the integral of field over an area, area having the units of the square of distance, thus104 G/T (magnetic field conversion factor) times the square of102 cm/m (linear distance conversion factor). 108 Mx/Wb = 104 G/T × (102 cm/m)2.

Typical values

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Main article:Orders of magnitude (magnetic field)

See also

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Notes

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  1. ^The electromagnetic Gaussian and SI quantitiescorrespond (symbol '≘') rather than beingequal (symbol '=').
  2. ^ccgs =2.99792458×1010 is the numeric part of thespeed of light when expressed in cgs units.

References

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  1. ^J. B. Zirker,The Magnetic Universe., Johns Hopkins University Press, Baltimore, 2009, p. 281.
  2. ^NIST Special Publication 1038, Section 4.3.1
  3. ^The International System of Units(PDF), V3.01 (9th ed.), International Bureau of Weights and Measures, Aug 2024,ISBN 978-92-822-2272-0
  4. ^International Bureau of Weights and Measures (2006),The International System of Units (SI)(PDF) (8th ed.),ISBN 92-822-2213-6,archived(PDF) from the original on 2021-06-04, retrieved2021-12-16
  5. ^Buffett, Bruce A. (2010), "Tidal dissipation and the strength of the Earth's internal magnetic field",Nature, volume 468, pages 952–954,doi:10.1038/nature09643
  6. ^Hoadley, Rick."How strong are magnets?".www.coolmagnetman.com. Retrieved2017-01-26.
  7. ^Pyrhönen, Juha; Jokinen, Tapani; Hrabovcová, Valéria (2009).Design of Rotating Electrical Machines. John Wiley and Sons. p. 232.ISBN 978-0-470-69516-6.
  8. ^Laughton, Michael A.; Warne, Douglas F., eds. (2003). "8".Electrical Engineer's Reference Book (Sixteenth ed.). Newnes.ISBN 0-7506-4637-3.
  9. ^"How strong are magnets?".Experiments with magnets and our surroundings. Magcraft. Retrieved2007-12-14.
  10. ^abDuncan, Robert C. (March 2003)."Magnetars, Soft Gamma Repeaters and Very Strong Magnetic Fields". University of Texas at Austin. Archived fromthe original on 2007-06-11. Retrieved2007-05-23.
Base units
Derived non EM units
Derived EMU units
Derived ESU units
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