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Physics · Electricity

Amps (Electric Current)

Reference entry · last updated 20260908

Amps, short for amperes, measure electric current: the rate at which charge passes through a surface, such as a wire’s cross-section. One ampere (A) equals one coulomb per second.[1]

1. First principles and definitions

Average current is charge passing a point divided by elapsed time. For steady current, \(I=Q/t\), where Q is charge and t is time.[1]

\[1\,\mathrm{A}=1\,\mathrm{C/s}\]

The ampere is an SI base unit. Its definition fixes the elementary charge at exactly 1.602176634 × 10−19 C. A current of 1 A corresponds to about 6.24 × 1018 elementary charges passing per second.[2]

Conventional current follows the direction positive charge would move. In a metal wire, electrons drift in the opposite direction.[1]

2. Current, voltage, and power

Voltage measures energy per charge. Current measures charge per second. In steady DC, their product is power in watts. For a resistor obeying Ohm’s law, current equals voltage divided by resistance.[3]

\[I=P/V,\qquad I=V/R\]

3. Worked DC example

Illustrative calculation: a device consuming 24 W at 12 V draws 2 A. That steady current carries 20 C past a point in 10 seconds.

\[I=24/12=2\,\mathrm{A},\qquad Q=2\times10=20\,\mathrm{C}\]

A milliampere (mA) is one thousandth of an ampere: 500 mA equals 0.5 A.[4]

4. Amps and amp-hours

An amp-hour (Ah) measures charge. A steady current of 1 A for one hour transfers 3,600 C. Illustrative calculation: 2 A for 3 hours transfers 6 Ah.[1]

An Ah value alone does not give stored energy. If voltage stays constant, multiplying Ah by V gives Wh. Thus, an idealized 12 V source delivering 6 Ah supplies 72 Wh.[3]

5. See also

6. References

  1. OpenStax, University Physics Volume 2, §9.1: Electrical Current (2016)
  2. NIST, Definitions of SI Base Units: Ampere
  3. OpenStax, University Physics Volume 2, §9.5: Electrical Energy and Power (2016)
  4. NIST, The Two Classes of SI Units and the SI Prefixes, Tables 1, 3, and 5