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Ampere-hour

physical science Maturity 11-13 Next article →

An ampere-hour, often written as Ah, is a unit used to measure electric charge. This measurement is very important for understanding battery capacity. It is also a recommended unit for use in electrolytic devices. These are systems that use electricity to cause chemical changes. Scientists and engineers use ampere-hours to describe electrochemical systems like electroplating. This process uses electricity to coat objects with metal.

To understand this unit, we must look at how current and time work together. An ampere-hour represents the total charge transferred by a steady current of one ampere. This current must flow for exactly one hour, which is 3,600 seconds. Therefore, one ampere-hour is equal to 3,600 ampere-seconds. This value is also equivalent to 3.6 kilocoulombs (kC).

There are several different scales for measuring electric charge. A common smaller unit is the milliampere-hour, or mAh. One mAh is exactly one-thousandth of an ampere-hour. This is equal to 3.6 coulombs. In medical settings, professionals use the milliampere second (mA⋅s). This unit is used in X-ray imaging, diagnostic imaging, and radiation therapy. The mA⋅s is equivalent to a millicoulomb. This quantity is proportional to the total X-ray energy produced by an X-ray tube.

When calculating energy, we cannot rely on ampere-hours alone. To express energy accurately, we must also know the voltage. In a battery system, the voltage usually changes while the battery is discharging. To find the total energy delivered, scientists must perform an integration of power. Power is the product of the instantaneous voltage and the instantaneous current. Because voltage varies, people often use an average or nominal value to approximate this.

We can see these units in many everyday objects. A standard AA size dry cell has a capacity between 2,000 and 3,000 mAh. An average smartphone battery usually holds between 2,500 and 6,000 mAh of rechargeable capacity. Large automobiles with internal combustion engines often use 12 V batteries. These starter batteries typically have a capacity of about 50 ampere-hours.

Electric vehicles also use these measurements in interesting ways. In 2013, the BMW i3 60 was named after its battery capacity. This name referred to the 60 Ah capacity of one of its 96 cells. This total setup provided about 18 kW⋅h of usable energy. This helped it match the entry-level Tesla Model S60, which had 60 kW⋅h. Later BMW i3 models used 94 Ah or 120 Ah batteries. These larger capacities allowed them to top the Tesla S85, S90, and S100 models.

Electricity can even be used for large-scale industrial manufacturing. For example, one ampere-hour can produce 0.336 grams of aluminium. This occurs when using molten aluminium chloride. To produce one kilogram of aluminium, a transfer of at least 2,980 ampere-hours is required. Producing one kilogram of aluminium commonly requires 15.37 kW⋅h of energy. Because of this, electric power represents about 20% to 40% of the total cost of producing aluminium.

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