Ampere-hour

Use

The ampere-hour is frequently used in measurements of electrochemical systems such as electroplating and for battery capacity where the commonly known nominal voltage is understood.

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

To help express energy, 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. Generally, the battery voltage varies during discharge; an average value or nominal value may be used to approximate the integration of power.

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.

In other units of electric charge

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

• 3600 coulombs
• 2.247 × 1022 elementary charges
• 0.03731 faradays
• 1.079 × 1013 statcoulombs (CGS-ESU equivalent)
• 360 abcoulombs (CGS-EMU equivalent)

Examples

• An AA size dry cell has a capacity of about 2000 to 3000 milliampere-hours.
• An average smartphone battery usually has between 2500 and 6000 milliampere-hours of rechargeable electric capacity.
• Automotive car starter batteries vary in capacity but a large automobile propelled by an internal combustion gasoline engine would have about a 50-ampere-hour 12 V battery capacity.
• Battery electric vehicle capacities are usually given in kW⋅h, but in 2013, the BMW i3 60 A⋅h was named after the capacity of one of its 96 cells, for a total of 96 × 3.6 V × 60 A⋅h = with about 18 kW⋅h usable energy, to match the number of the entry level Tesla Model S60 which had 60 kW⋅h. Later BMW i3 had 94 A⋅h and 120 A⋅h batteries, each topping Tesla's S85, S90 and S100 designations.
• Since one ampere-hour can produce 0.336 grams of aluminium from molten aluminium chloride, producing a kilogram of aluminium required transfer of at least 2980 ampere-hours. One kilogram of aluminium commonly requires 15.37 kW⋅h, thus electric power represents about 20% to 40% of the cost of producing aluminium.

References

References

1. (2020). "electric charge (Symbol Q). IEV 113-02-10". International Electrotechnical Commission (IEC).
2. (2008). "Guide for the Use of the International System of Units (SI). NIST Special Publication 811". National Institute of Standards and Technology.
3. [http://www.ehss.vt.edu/Programs/RSD/Xray/xray09.htm X-ray Safety Handbook, 9.0 Terms and Definitions, VirginiaTech Environmental, Health and Safety Services] {{webarchive. link. (July 23, 2007)
4. Efty Abir, Najrul Islam. (2016). "How to Calculate Amp Hours – Learn of Convert Watts to Amps". Leo Evans.
5. National Research Council (U.S.). (2004). "Meeting the energy needs of future warriors". National Academies Press.
6. T. L. Brown, H. E. Lemay Jr, "Chemistry the Central Science", Prentice-Hall, 1977 {{ISBN. 0-13-128769-9 page 562