[Etymology: A. M. Ampère; France 1775-1836] electric current strength. Symbol A. The amperes of steady current crossing any cross-section of a circuit equals the ratio of the charge in coulombs to the time in seconds, identically the amperes of steady current produced between two points of a conductor equals the ratio of the potential difference in volts across these points to the intervening resistance in ohms (the conductor not being the seat of any electromotive force). However, this unit is defined as a base unit in any m.k.s. A. system (including the SI), and was for the e.m.u. system.
SI, Metric-m.k.s. A. 1948 the base unit for all electromagnetic units, defined as the constant current which, if maintained in two straight parallel conductors of infinite length and of negligible cross-section, and placed 1 metre apart in vacuum, would produce between these conductors a force equal to 2 × 10-7 newton per metre of length. (This number effectively set the magnetic permeability of vacuum at 4π × 10-7 H·m-1; see permittivity.) The following are among the coherent derived units:
• A·m-1 for magnetic field strength, magnetization;
• A·m-2 for current density;
• A·s = coulomb for quantity of electricity;
• A·s·V-1 = farad for electric capacitance;
• A·V-1 = siemens for electric conductance;
• A·H = weber for magnetic flux;
• A·turn for magnetomotive force.
This ampere is equatable with 6.241 45~ × 1018 electronic charges per second.
Metric-c.g.s. See abampere and statampere. See also practical unit.
History
The name ‘ampère’ was agreed, along with related units and the use of the c.g.s. system, in 1881 at the first International Electrical Conference,
[Nature Vol. 24, 512 (1881)] as the ‘current produced by a volt in an ohm’, with the implication that there should be both an absolute form and a corresponding practical unit. The former, later discriminated as the abampere, falls within the e.m.u. system, and is fundamentally definable in terms of purely mechanical units. The practical ampere = 10-1 abampere.
To make it a base unit instead of a derived unit, a specification for a laboratory realization of the ampere was established. This was expressed in terms of the rate of electrolytic deposition of silver, so has often been called the silver ampere or Ag ampere; the definition was ‘the unvarying current which deposits 1.118 mg of silver by electrolysis from a silver nitrate solution in one second’. The specification was subsequently shown to have made the ampere slightly smaller than intended,
[Nature Vol. 78, 678-81 (1908)] prompting the adoption by the IEC of 1908 of the distinct name international ampere, with no reference to it being either absolute or practical (though it was the latter). Because of experimental vagaries, the value for conversions is normally referred to as the mean international ampere = 0.999 85~ A. There is also the US international ampere = 0.999 835~ A.
At the implementation of the Metric-m.k.s. A. system in 1948, with the ampere as the base electrical unit but its definition made compatible with the original absolute units, the modern ampere became essentially the old practical ampere; this became identically the ampere of the SI (again the base electric unit).
The calibration of reference electrical instruments from the fundamental definition presents obvious practical problems with accuracy, as well as the impossibility of literally infinite length. Until the 1980s the method involved weighing on a balance the magnetic force between two coils of carefully measured copper wire; this gave an accuracy of barely 1 in 105. Discovery of the Josephson effect, then of the quantum Hall effect, applying at very low temperatures with superconductors, together with subsequent development of the moving-coil balance and related work with the volt, improved accuracies about a thousandfold for the ampere, volt, ohm, etc.
[Hartland A. Contemp. Phys. Vol. 29, 477 (1988) http://www.npl.co.uk/npl/publications/electricity/] For maximum accuracy, the ampere has been realized via the watt, by comparison of electrical power and mechanical power.
[Taylor B. N. Metrologia Vol. 21, 37-9 (1985)]
Previous to adoption of the ampere, the names weber, oersted, and oerstedt were applied to units of electric current strength.
| 1893 | International Electrical Conference: international ampere The unvarying current which deposits 1.118 00 mg of silver by electrolysis from a silver nitrate solution in 1 second. |
| 1946 | CIPM ‘Ampere (unit of electric current) The ampere is that constant current which, if maintained in two parallel conductors of infinite length, of negligible circular cross-section, and placed 1 metre apart in vacuum, would produce between these conductors a force equal to 2 × 10-7 MKS unit of force (i.e. newton) per metre of length.’see note below |
[
Le Système International d'Unités (Sèvres, France: Bureau International de Poids et Mesures, 1985)]