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Ampere-hour

From Wikipedia, the free encyclopedia
Unit of electric charge
ampere-hour
Rechargeable batteries
Top: AA battery (2500 mA⋅h)
Bottom: AAA battery (1000 mA⋅h)
General information
Unit systemNon-SI metric unit
Unit ofElectric charge
SymbolA⋅h, A h
Conversions
1 A⋅hin ...... is equal to ...
   SI units   3600 C
   Elementary charges   2.24694327×1022 e
   CGS units   1.0792528488×1013 statC

Anampere-hour oramp-hour (symbol:A⋅h orA h; often simplified asAh) is aunit ofelectric charge, havingdimensions ofelectric current multiplied by time, equal to the charge transferred by a steady current of oneampere flowing for one hour, or 3,600coulombs.[1][2]

The commonly seenmilliampere-hour (symbol:mA⋅h,mA h, often simplified asmAh) is one-thousandth of an ampere-hour (3.6 coulombs).

Use

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The ampere-hour is frequently used in measurements ofelectrochemical systems such aselectroplating and forbattery capacity where the commonly knownnominalvoltage is understood.

Amilliampere second (mA⋅s) is a unit of measurement used inX-ray imaging, diagnostic imaging, andradiation therapy. It is equivalent to amillicoulomb. This quantity is proportional to the total X-ray energy produced by a given X-ray tube operated at a particular voltage.[3] The same total dose can be delivered in different time periods depending on the X-ray tube current.

To help expressenergy, computation over charge values in ampere-hour requires precise data of voltage: in a battery system, for example, accurate calculation of the energy delivered requires integration of the power delivered (product of instantaneous voltage and instantaneous current) over the discharge interval.[4] Generally, the battery voltage varies during discharge; an average value or nominal value may be used to approximate the integration of power.[5]

When comparing the energy capacities of battery-based products that might have different internal cell chemistries or cell configurations, a simple ampere-hour rating is often insufficient. For example, at 3.2 V for alithium iron phosphate battery cell (LiFePO
4
), the perceived energy capacity of a small UPS product that has multiple DC outputs at different voltages but is simply listed with a single ampere-hour rating, e.g., 8800 mAh, would be exaggerated by a factor of 3.75 compared to that of a sealed 12-volt lead-acid battery where the ampere-hour rating, e.g., 7 Ah, is based on the total output voltage rather than the internal cell voltage, so the 12-volt output of the example UPS product can actually deliver only about a third of the energy of the example battery, not a quarter more energy. But a direct replacement product for the example battery, in the same form factor and comparable output voltage and energy capacity but based onLiFePO
4
, might also be specified as 7 Ah, here based on output voltage rather than cell chemistry. For consumers without an engineering background, these difficulties would be avoided by a specification of the watt-hour rating instead (or additionally).[citation needed]

In other units of electric charge

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One ampere-hour is equal to (up to 4 significant figures):

Examples

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  • AnAA sizedry cell has a capacity of about 2,000 to 3,000 milliampere-hours.
  • An average smartphone battery usually has between 2,500 and 6,000 milliampere-hours of electric capacity.
  • Automotivecar batteries vary in capacity but a large automobile propelled by an internal combustion engine would have about a 50-ampere-hour battery capacity.
  • Since one ampere-hour can produce 0.336 grams of aluminium from molten aluminium chloride, producing a ton of aluminium required transfer of at least 2.98 million ampere-hours.[6]

See also

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References

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  1. ^"electric charge (Symbol Q). IEV 113-02-10".electropedia.org. International Electrotechnical Commission (IEC). 2020. Retrieved2020-09-20.Note 7 to entry: The coherent SI unit of electric charge is coulomb, C. The unit ampere-hour is used for electrolytic devices, such as storage batteries:1 A·h = 3,6 kC.
  2. ^Thompson, Ambler; Taylor, Barry N. (2008).Guide for the Use of the International System of Units (SI). NIST Special Publication 811(PDF) (2nd ed.). Gaithersburg: National Institute of Standards and Technology. p. 45.To convert fromampere hour (A·h) ... to coulomb (C) ... Multiply by 3.6 E+03
  3. ^X-ray Safety Handbook, 9.0 Terms and Definitions, VirginiaTech Environmental, Health and Safety ServicesArchived July 23, 2007, at theWayback Machine
  4. ^Efty Abir, Najrul Islam (2016)."How to Calculate Amp Hours – Learn of Convert Watts to Amps". Leo Evans. Retrieved8 December 2016.
  5. ^National Research Council (U.S.) (2004).Meeting the energy needs of future warriors. National Academies Press. p. 27.ISBN 0-309-09261-2.
  6. ^T. L. Brown, H. E. Lemay Jr, "Chemistry the Central Science", Prentice-Hall, 1977ISBN 0-13-128769-9 page 562
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