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Ampere

From Wikipedia, the free encyclopedia
SI base unit of electric current

For other uses, seeAmpere (disambiguation).

ampere
Demonstration model of a moving ironammeter. As the current through the coil increases, the plunger is drawn further into the coil and the pointer deflects to the right.
General information
Unit systemSI
Unit ofelectric current
SymbolA
Named afterAndré-Marie Ampère

Theampere (/ˈæmpɛər/ AM-pair,US:/ˈæmpɪər/ AM-peer;[1][2][3] symbol:A),[4] oftenshortened toamp,[5] is the unit ofelectric current in theInternational System of Units (SI). One ampere is equal to 1coulomb (C) moving past a point per second.[6][7][8] It is named afterFrench mathematician and physicistAndré-Marie Ampère (1775–1836), considered the father ofelectromagnetism along withDanish physicistHans Christian Ørsted.

As of the2019 revision of the SI, the ampere is defined by fixing theelementary chargee to be exactly1.602176634×10−19 C,[6][9] which means an ampere is an electric current equivalent to1019 elementary charges moving every1.602176634 seconds, or approximately6.241509074×1018 elementary charges moving in a second. Prior to the redefinition, the ampere was defined as the current passing through two parallel wires 1metre apart that produces a magnetic force of2×10−7newtons per metre.

The earlierCGS system has two units of current, one structured similarly to the SI's and the other usingCoulomb's law as a fundamental relationship, with the CGS unit of charge defined by measuring the force between two charged metal plates. The CGS unit of current is then defined as one unit of charge per second.[10]

History

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Main article:International System of Electrical and Magnetic Units

The ampere is named for French physicist and mathematicianAndré-Marie Ampère (1775–1836), who studiedelectromagnetism and laid the foundation ofelectrodynamics. In recognition of Ampère's contributions to the creation of modern electrical science, an international convention, signed at the 1881International Exposition of Electricity, established the ampere as a standard unit of electrical measurement for electric current.

The ampere was originally defined as one tenth of the unit ofelectric current in thecentimetre–gram–second system of units. That unit, now known as theabampere, was defined as the amount of current that generates a force of twodynes per centimetre of length between two wires one centimetre apart.[11] The size of the unit was chosen so that the units derived from it in theMKSA system would be conveniently sized.

The "international ampere" was an early realisation of the ampere, defined as the current that would deposit0.001118 grams of silver per second from asilver nitrate solution. Later, more accurate measurements revealed that this current is0.99985 A.[12]

Sincepower is defined as the product of current and voltage, the ampere can alternatively be expressed in terms of the other units using the relationshipI =P/V, and thus 1 A = 1 W/V. Current can be measured by amultimeter, a device that can measure electrical voltage, current, and resistance.

Former definition in the SI

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Until 2019, the SI defined the ampere as follows:

The ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed onemetre apart in vacuum, would produce between these conductors a force equal to2×10−7newtons per metre of length.[13]: 113 [14]

Ampère's force law[15][16] states that there is an attractive or repulsive force between two parallel wires carrying an electric current. This force was used in the formal definition of the ampere, giving thevacuum magnetic permeability (magnetic constant,μ0) a value of exactly 4π × 10−7henries per metre (H/m, equivalent to N/A2). The SI unit of charge, thecoulomb, was then defined as "the quantity of electricity carried in 1 second by a current of 1 ampere".[13]: 144  In general, chargeQ was determined by steady currentI flowing for a timet asQ =It.

This definition of the ampere was most accurately realised using aKibble balance, but in practice the unit was maintained viaOhm's law from the units ofelectromotive force andresistance, thevolt and theohm, since the latter two could be tied to physical phenomena that are relatively easy to reproduce, theJosephson effect and thequantum Hall effect, respectively.[17]

Techniques to establish the realisation of an ampere had arelative uncertainty of approximately a few parts in 107, and involved realisations of the watt, the ohm and the volt.[17]

Present definition

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The2019 revision of the SI defined the ampere by taking the fixed numerical value of theelementary chargee to be1.602176634×10−19 when expressed in the unit C, which is equal to A⋅s, where the second is defined in terms ofνCs, the unperturbed ground state hyperfine transition frequency of thecaesium-133 atom.[18]

The SI unit of charge, thecoulomb, "is the quantity of electricity carried in 1 second by a current of 1 ampere".[19] Conversely, a current of one ampere is one coulomb of charge (approximately6.241509×1018 elementary charges) going past a given point per second, or equivalently 1019 elementary charges every1.602176634 seconds:

1 A=1 C/s=11.602176634×1019e/s=1019e1.602176634 s.{\displaystyle 1{\text{ A}}=1{\text{ C/s}}={\frac {1}{1.602\,176\,634\times 10^{-19}}}\,e{\text{/s}}={\frac {10^{19}\,e}{1.602\,176\,634{\text{ s}}}}.}

With the second defined in terms ofνCs, the caesium-133 hyperfine transition frequency, the ampere can be expressed in terms ofe andνCs:[20]1 A=1 C/s=(1019e1.602176634)(ΔνCs9192631770)6.7896868×108eΔνCs.{\displaystyle 1{\text{ A}}=1{\text{ C/s}}={\Big (}{\frac {10^{19}\,e}{1.602\,176\,634}}{\Big )}{\Big (}{\frac {\Delta \nu _{\text{Cs}}}{9\,192\,631\,770}}{\Big )}\approx 6.789\,6868\times 10^{8}\,e\,\Delta \nu _{\text{Cs}}.}Constant, instantaneous and average current are expressed in amperes (as in "the charging current is 1.2 A") and the charge accumulated (or passed through a circuit) over a period of time is expressed in coulombs (as in "thebattery charge is30000 C"). The relation of the ampere (A = C/s) to the coulomb (C) is the same as that of thewatt (W = J/s) to thejoule (J).

Units derived from the ampere

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Theinternational system of units (SI) is based on sevenSI base units thesecond, metre,kilogram,kelvin, ampere,mole, andcandela representing seven fundamental types of physical quantity, or"dimensions", (time,length,mass,temperature, electric current,amount of substance, andluminous intensity respectively) with all other SI units being defined using these. TheseSI derived units can either be given special names e.g. watt, volt,lux, etc. or defined in terms of others, e.g.metre per second. The units with special names derived from the ampere are:

QuantityUnitSymbolMeaningIn SI base units
Electric chargecoulombCampere secondA⋅s
Electric potential differencevoltVjoule per coulombkg⋅m2⋅s−3⋅A−1
Electrical resistanceohmΩvolt per amperekg⋅m2⋅s−3⋅A−2
Electrical conductancesiemensSampere per volt or inverse ohms3⋅A2⋅kg−1⋅m−2
Electrical inductancehenryHohm secondkg⋅m2⋅s−2⋅A−2
Electrical capacitancefaradFcoulomb per volts4⋅A2⋅kg−1⋅m−2
Magnetic fluxweberWbvolt secondkg⋅m2⋅s−2⋅A−1
Magnetic flux densityteslaTweber persquare metrekg⋅s−2⋅A−1

There are also some SI units that are frequently used in the context ofelectrical engineering and electrical appliances, but are defined independently of the ampere, notably thehertz,joule,watt, candela,lumen, and lux.

SI prefixes

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Main article:Orders of magnitude (current)

Like other SI units, the ampere can be modified by adding aprefix that multiplies it by apower of 10.

SI multiples of ampere (A)
SubmultiplesMultiples
ValueSI symbolNameValueSI symbolName
10−1 AdAdeciampere101 AdaAdecaampere
10−2 AcAcentiampere102 AhAhectoampere
10−3 AmAmilliampere103 AkAkiloampere
10−6 AμAmicroampere106 AMAmegaampere
10−9 AnAnanoampere109 AGAgigaampere
10−12 ApApicoampere1012 ATAteraampere
10−15 AfAfemtoampere1015 APApetaampere
10−18 AaAattoampere1018 AEAexaampere
10−21 AzAzeptoampere1021 AZAzettaampere
10−24 AyAyoctoampere1024 AYAyottaampere
10−27 ArArontoampere1027 ARAronnaampere
10−30 AqAquectoampere1030 AQAquettaampere

See also

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References

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  1. ^Jones, Daniel (2011),Roach, Peter;Setter, Jane;Esling, John (eds.),Cambridge English Pronouncing Dictionary (18th ed.), Cambridge University Press,ISBN 978-0-521-15255-6{{citation}}: CS1 maint: overridden setting (link)
  2. ^Wells, John C. (2008),Longman Pronunciation Dictionary (3rd ed.), Longman,ISBN 978-1-4058-8118-0
  3. ^"ampere",Merriam-Webster.com Dictionary, Merriam-Webster, retrieved29 September 2020
  4. ^"2. SI base units",SI brochure (8th ed.), BIPM,archived from the original on 7 October 2014, retrieved19 November 2011
  5. ^SI supports only the use of symbols and deprecates the use of abbreviations for units."Bureau International des Poids et Mesures"(PDF), 2006, p. 130, archived fromthe original(PDF) on 14 August 2017, retrieved21 November 2011
  6. ^abBIPM (20 May 2019),"Mise en pratique for the definition of the ampere in the SI",BIPM, retrieved18 February 2022
  7. ^"2.1. Unit of electric current (ampere)",SI brochure (8th ed.), BIPM,archived from the original on 3 February 2012, retrieved19 November 2011
  8. ^"Base unit definitions: Ampere",Physics.nist.gov, archived fromthe original on 25 April 2017, retrieved28 September 2010
  9. ^Draft Resolution A "On the revision of the International System of units (SI)" to be submitted to the CGPM at its 26th meeting (2018)(PDF), archived fromthe original(PDF) on 29 April 2018, retrieved28 October 2018
  10. ^Bodanis, David (2005),Electric Universe, New York: Three Rivers Press,ISBN 978-0-307-33598-2
  11. ^Kowalski, L (1986),"A short history of the SI units in electricity",The Physics Teacher,24 (2), Montclair:97–99,Bibcode:1986PhTea..24...97K,doi:10.1119/1.2341955, archived fromthe original on 14 February 2002
  12. ^History of the ampere, Sizes, 1 April 2014,archived from the original on 20 October 2016, retrieved20 September 2023
  13. ^abInternational 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 4 June 2021, retrieved16 December 2021
  14. ^Monk, Paul MS (2004),Physical Chemistry: Understanding our Chemical World, John Wiley & Sons,ISBN 0-471-49180-2
  15. ^Serway, Raymond A; Jewett, JW (2006),Serway's principles of physics: a calculus based text (Fourth ed.), Belmont, CA: Thompson Brooks/Cole, p. 746,ISBN 0-53449143-X,archived from the original on 21 June 2013
  16. ^Beyond the Kilogram: Redefining the International System of Units, US:National Institute of Standards and Technology, 2006,archived from the original on 21 March 2008, retrieved3 December 2008
  17. ^ab"Appendix 2: Practical realisation of unit definitions: Electrical quantities",SI brochure, BIPM, archived fromthe original on 14 April 2013
  18. ^"ampere (A)",www.npl.co.uk, retrieved21 May 2019
  19. ^The International System of Units (SI)(PDF) (8th ed.),Bureau International des Poids et Mesures, 2006, p. 144,archived(PDF) from the original on 5 November 2013.
  20. ^"SI base unit: ampere (A)",International Bureau of Weights and Measures (BIPM), 2019, retrieved3 June 2025

External links

[edit]
Base units
Derived units
with special names
Other accepted units
See also
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