Difference between revisions of "International System of Electrical and Magnetic Units"
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| [[Ampere]] | | [[Ampere]] | ||
| − | | the unvarying [[electric current]] | + | | the unvarying [[electric current|current]] which, when passed through a solution of [[silver nitrate]] in water, deposits [[silver]] at the rate of {{nowrap|0.001 118 00 grams}} per second |
| the current produced in a conductor with a 1 ohm resistance when there is a potential difference of 1 volt between its ends | | the current produced in a conductor with a 1 ohm resistance when there is a potential difference of 1 volt between its ends | ||
| − | | | + | | 0.1 cgs units of electric current |
|- | |- | ||
| [[Ohm]] | | [[Ohm]] | ||
| − | | the [[electric resistance]] | + | | the [[electric resistance|resistance]] offered to an unvarying [[electric current]] by a column of [[mercury]] at the temperature of melting ice 14.4521 grams in mass, of a constant cross-sectional area and of the length of 106.3 centimetres |
| | | | ||
| − | | | + | | 10<sup>9</sup> cgs units of electric resistance |
|- | |- | ||
| [[Volt]] | | [[Volt]] | ||
| − | | | + | | {{frac|1000|1434}} of the [[electromotive force]] of a [[Clark cell]] at a temperature of 15 °C |
| the electromotive force produced in an [[electric circuit]] which cuts 10<sup>8</sup> magnetic lines of force per second | | the electromotive force produced in an [[electric circuit]] which cuts 10<sup>8</sup> magnetic lines of force per second | ||
| − | | | + | | 10<sup>8</sup> cgs units of electromotive force |
|- | |- | ||
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The solution came at an international conference in London in 1908. The essential point was to reduce the number of base units from three to two by redefining the international volt as a derived unit. There were several other modifications of less practical importance: | The solution came at an international conference in London in 1908. The essential point was to reduce the number of base units from three to two by redefining the international volt as a derived unit. There were several other modifications of less practical importance: | ||
*the international ampere and the international ohm were formally defined in terms of the corresponding [[cgs electromagnetic units]], with the 1893 definitions retained as preferred [[realization]]s; | *the international ampere and the international ohm were formally defined in terms of the corresponding [[cgs electromagnetic units]], with the 1893 definitions retained as preferred [[realization]]s; | ||
| − | *the preferred realization of the international volt was in terms of the electromotive force of a [[Weston cell]] at 20 | + | *the preferred realization of the international volt was in terms of the electromotive force of a [[Weston cell]] at 20 °C (1.0184 V<sub>int</sub>), as this type of cell has a lower temperature coefficient than the Clark cell. |
*several other derived units for use in electrical and magnetic measurements were formally defined: | *several other derived units for use in electrical and magnetic measurements were formally defined: | ||
;International [[Coulomb]]:the quantity of electricity [[[electric charge]]] transferred by a current of one international ampere in one second; | ;International [[Coulomb]]:the quantity of electricity [[[electric charge]]] transferred by a current of one international ampere in one second; | ||
Revision as of 06:10, 10 August 2010
The International System of Electrical and Magnetic Units is an obsolete system of units used solely for measuring electrical and magnetic quantities. It was introduced by the Fourth International Conference of Electricians (Chicago, 1893) and modified in 1908. It was rendered obsolete by the inclusion of electromagnetic units in the International System of Units (SI) in 1948.
Contents
Earlier systems
The link between electromagnetic units and the more familiar units of length, mass and time was first demonstrated by Gauss in 1833 with his measurement of the Earth's magnetic field.[1] A complete system of metric electrical and magnetic units was proposed by Weber in 1851.
1893 system
The International System was introduced in 1893 because of the practical difficulties in measuring electrical units in the cgs system. The 1893 system had three base units: the international ampere, the international ohm and the international volt.
| Unit | 1893 ("international") definition | cgs ("absolute") equivalent | Notes |
|---|---|---|---|
| Ampere | the unvarying current which, when passed through a solution of silver nitrate in water, deposits silver at the rate of 0.001 118 00 grams per second | the current produced in a conductor with a 1 ohm resistance when there is a potential difference of 1 volt between its ends | 0.1 cgs units of electric current |
| Ohm | the resistance offered to an unvarying electric current by a column of mercury at the temperature of melting ice 14.4521 grams in mass, of a constant cross-sectional area and of the length of 106.3 centimetres | 109 cgs units of electric resistance | |
| Volt | 1000⁄1434 of the electromotive force of a Clark cell at a temperature of 15 °C | the electromotive force produced in an electric circuit which cuts 108 magnetic lines of force per second | 108 cgs units of electromotive force |
Overdefinition and the 1908 modification
The 1893 system of units was overdefined, as can be seen from an examination of Ohm's law:
By Ohm's law, knowing any two of the physical quantities V, I or R (potential difference, current or resistance) will define the third, and yet the 1893 system defines the units for all three quantities. With improvements in measurement techniques, it was soon realized that 1 Vint ≠ 1 Aint × 1 Ωint.
The solution came at an international conference in London in 1908. The essential point was to reduce the number of base units from three to two by redefining the international volt as a derived unit. There were several other modifications of less practical importance:
- the international ampere and the international ohm were formally defined in terms of the corresponding cgs electromagnetic units, with the 1893 definitions retained as preferred realizations;
- the preferred realization of the international volt was in terms of the electromotive force of a Weston cell at 20 °C (1.0184 Vint), as this type of cell has a lower temperature coefficient than the Clark cell.
- several other derived units for use in electrical and magnetic measurements were formally defined:
- International Coulomb
- the quantity of electricity [[[electric charge]]] transferred by a current of one international ampere in one second;
- International Farad
- the capacity [[[capacitance]]] of a condensor [[[capacitor]]] charged to a potential of one international volt by one international coulomb of electricity;
- Joule
- 107 units of work in the C.G.S. system, represented sufficiently well for practical use by the energy expended in one second by an international ampere in an international ohm;
- Watt
- 107 units of power in the C.G.S. system, represented sufficiently well for practical use by the work done at the rate of one joule per second;
- Henry
- the induction [[[inductance]]] in a circuit when an electromotive force induced in this circuit is one international volt, while the inducing current varies at the rate of one ampere per second.
SI units
References
- ↑ Gauss, C. F. Intensitas vis magneticae terrestris ad mensuram absolutam revocata. Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores 1832–37, 8, 1–44.
External links
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