Gauss (unit)

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gauss
Unit system Gaussian and emu-cgs
Unit of magnetic flux density (also known as magnetic induction, or the B-field, or magnetic field)
SymbolG or Gs
Named after Carl Friedrich Gauss
Conversions
1 G or Gs in ...... is equal to ...
    SI derived units    10−4 tesla [lower-alpha 1]
   Gaussian base units   1 cm−1/2g1/2s−1
    esu-cgs    1/ccgs esu [lower-alpha 2]
Carl Friedrich Gauss in 1828, aged 50 years old Bendixen - Carl Friedrich Gauss, 1828.jpg
Carl Friedrich Gauß in 1828, aged 50 years old

The gauss (symbol: G, sometimes Gs) is a unit of measurement of magnetic induction, also known as magnetic flux density. The unit is part of the Gaussian system of units, which inherited it from the older centimetre–gram–second electromagnetic units (CGS-EMU) system. It was named after the German mathematician and physicist Carl Friedrich Gauss in 1936. One gauss is defined as one maxwell per square centimetre.

Contents

As the centimetre–gram–second system of units (cgs system) has been superseded by the International System of Units (SI), the use of the gauss has been deprecated by the standards bodies, but is still regularly used in various subfields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. The SI unit for magnetic flux density is the tesla (symbol T), [1] which corresponds to 10,000gauss.

Name, symbol, and metric prefixes

Albeit 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. [2] :147–148 The gauss may be combined with metric prefixes, [3] :128 such as in milligauss, mG (or mGs), or kilogauss, kG (or kGs).

Unit conversions

The gauss is the unit of magnetic flux density B in the system of Gaussian units and is equal to Mx/cm2 or g/Bi/s2, while the oersted is the unit of H-field. One tesla (T) corresponds to 104 gauss, and one ampere (A) per metre corresponds to 4π × 10−3 oersted.

The units for magnetic flux  Φ, which is the integral of magnetic B-field over an area, are the weber (Wb) in the SI and the maxwell (Mx) in the CGS-Gaussian system. The conversion factor is 108 maxwell per weber, since flux is the integral of field over an area, area having the units of the square of distance, thus 104 G/T (magnetic field conversion factor) times the square of 102 cm/m (linear distance conversion factor). 108 Mx/Wb = 104 G/T × (102 cm/m)2.

Typical values

See also

Notes

  1. The electromagnetic Gaussian and SI quantities correspond (symbol '≘') rather than being equal (symbol '=').
  2. ccgs = 2.99792458×1010 is the numeric part of the speed of light when expressed in cgs units.

Related Research Articles

The centimetre–gram–second system of units is a variant of the metric system based on the centimetre as the unit of length, the gram as the unit of mass, and the second as the unit of time. All CGS mechanical units are unambiguously derived from these three base units, but there are several different ways in which the CGS system was extended to cover electromagnetism.

<span class="mw-page-title-main">Maxwell's equations</span> Equations describing classical electromagnetism

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, electric and magnetic circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields. The equations are named after the physicist and mathematician James Clerk Maxwell, who, in 1861 and 1862, published an early form of the equations that included the Lorentz force law. Maxwell first used the equations to propose that light is an electromagnetic phenomenon. The modern form of the equations in their most common formulation is credited to Oliver Heaviside.

<span class="mw-page-title-main">Magnetic field</span> Distribution of magnetic force

A magnetic field is a physical 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 the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets. In addition, a nonuniform magnetic field exerts minuscule forces on "nonmagnetic" materials by three other magnetic effects: paramagnetism, diamagnetism, and antiferromagnetism, although these forces are usually so small they can only be detected by laboratory equipment. Magnetic fields surround magnetized materials, electric currents, and electric fields varying in time. Since both strength and direction of a magnetic field may vary with location, it is described mathematically by a function assigning a vector to each point of space, called a vector field.

<span class="mw-page-title-main">Magnet</span> Object that has a magnetic field

A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, cobalt, etc. and attracts or repels other magnets.

The franklin (Fr), statcoulomb (statC), or electrostatic unit of charge (esu) is the unit of measurement for electrical charge used in the centimetre–gram–second electrostatic units variant (CGS-ESU) and Gaussian systems of units. It is a derived unit given by

The oersted is the coherent derived unit of the auxiliary magnetic field H in the centimetre–gram–second system of units (CGS). It is equivalent to 1 dyne per maxwell.

<span class="mw-page-title-main">Magnetic flux</span> Surface integral of the magnetic field

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 Φ or ΦB. The SI unit of magnetic flux is the weber, and the CGS unit is the maxwell. Magnetic flux is usually measured with a fluxmeter, which contains measuring coils, and it calculates the magnetic flux from the change of voltage on the coils.

The statvolt is a unit of voltage and electrical potential used in the CGS-ESU and gaussian systems of units. In terms of its relation to the SI units, one statvolt corresponds to ccgs 10−8 volt, i.e. to 299.792458 volts.

<span class="mw-page-title-main">Magnetar</span> Type of neutron star with a strong magnetic field

A magnetar is a type of neutron star with an extremely powerful magnetic field (~109 to 1011 T, ~1013 to 1015 G). The magnetic-field decay powers the emission of high-energy electromagnetic radiation, particularly X-rays and gamma rays.

The maxwell is the CGS (centimetre–gram–second) unit of magnetic flux.

In physics, the weber is the unit of magnetic flux in the International System of Units (SI). The unit is derived from the relationship 1 Wb = 1 V⋅s (volt-second). A magnetic flux density of 1 Wb/m2 is one tesla.

The tesla is the unit of magnetic flux density in the International System of Units (SI).

<span class="mw-page-title-main">Gaussian units</span> Variant of the centimetre–gram–second unit system

Gaussian units constitute a metric system of physical units. This system is the most common of the several electromagnetic unit systems based on cgs (centimetre–gram–second) units. It is also called the Gaussian unit system, Gaussian-cgs units, or often just cgs units. The term "cgs units" is ambiguous and therefore to be avoided if possible: there are several variants of cgs with conflicting definitions of electromagnetic quantities and units.

<span class="mw-page-title-main">Electric flux</span> Measure of electric field through surface

In electromagnetism, electric flux is the measure of the electric field through a given surface, although an electric field in itself cannot flow.

The abampere (abA), also called the biot (Bi) after Jean-Baptiste Biot, is the derived electromagnetic unit of electric current in the emu-cgs system of units. One abampere corresponds to ten amperes in the SI system of units. An abampere of current in a circular path of one centimeter radius produces a magnetic field of 2π oersteds at the center of the circle.

Heaviside–Lorentz units constitute a system of units and quantities that extends the CGS with a particular set of equations that defines electromagnetic quantities, named for Oliver Heaviside and Hendrik Antoon Lorentz. They share with the CGS-Gaussian system that the electric constant ε0 and magnetic constant µ0 do not appear in the defining equations for electromagnetism, having been incorporated implicitly into the electromagnetic quantities. Heaviside–Lorentz units may be thought of as normalizing ε0 = 1 and µ0 = 1, while at the same time revising Maxwell's equations to use the speed of light c instead.

This page lists examples of magnetic induction B in teslas and gauss produced by various sources, grouped by orders of magnitude.

<span class="mw-page-title-main">Maximum energy product</span>

In magnetics, the maximum energy product is an important figure-of-merit for the strength of a permanent magnet material. It is often denoted (BH)max and is typically given in units of either kJ/m3 or MGOe. 1 MGOe is equivalent to 7.958 kJ/m3.

References

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  4. 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
  5. Hoadley, Rick. "How strong are magnets?". www.coolmagnetman.com. Retrieved 2017-01-26.
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  7. Laughton, Michael A.; Warne, Douglas F., eds. (2003). "8". Electrical Engineer's Reference Book (Sixteenth ed.). Newnes. ISBN   0-7506-4637-3.
  8. "How strong are magnets?". Experiments with magnets and our surroundings. Magcraft. Retrieved 2007-12-14.
  9. 1 2 Duncan, Robert C. (March 2003). "Magnetars, Soft Gamma Repeaters and Very Strong Magnetic Fields". University of Texas at Austin. Archived from the original on 2007-06-11. Retrieved 2007-05-23.