What is the practical unit of electric charge? Why is this unit used?

1 Answer
Feb 12, 2016

Although the SI unit of charge is the Coulomb (#C#) the practical unit of milliamp-hour (#mAh#) is used in many contexts.

Explanation:

The Coulomb, #C#, is the SI unit of charge, and is itself quite simple, being the charge that results from 1 Ampere of current flowing in 1 second. However, that's a lot of current over a very short time.

In low power applications, particularly those where batteries are used, it is more practical to work with a much lower current, over a much longer time. For that purpose one uses the milliamp-hour.
#1 mAh# is the amount of battery charge that is needed to supply #1mA# for #1h#. It's not hard to convert back to Coulombs:

#1mAh = 3.6C#

Typical mobile phone batteries have on the order of thousands of #mAh#.

For higher power applications, one sometimes uses Amp-hours (#Ah#) which are 1000x as big as #mAh#