Difference between revisions of "International System of Electrical and Magnetic Units"

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==SI units==
 
==SI units==
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With advances in the theory of [[electromagnetism]] and in [[quantity calculus]], it became apparent that a coherent absolute system of units could only include one electromagnetic [[base unit]]. The first such system was proposed by [[Giovanni Giorgi|Giorgi]] in 1901:<ref name="EB11"/><ref name="IEC">{{citation | title = Giovanni Giorgi | url = http://www.iec.ch/about/history/articles/giovanni_giorgi.htm | publisher = International Electrotechnical Commission | accessdate = 2010-08-11}}.</ref> it used the [[ohm]] as the additional base unit in the [[MKS system]], and so is often referred to as the MKSΩ system or the Giorgi system. It was adopted by the [[International Electrotechnical Commission]] (IEC) in 1935.<ref name="IEC"/>
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An additional problem with the CGS system of electrical units, pointed out as early as 1882 by [[Oliver Heaviside|Heaviside]],<ref>{{citation | journal = The Electrician | date = 18 November 1882}}.</ref> was that they were not "rationalized", that is they failed to properly take account of [[permittivity]] and [[permeability]] as properties of a medium. Georgi was also a great proponent of rationalization of the electrical units, although the IEC did not take a position one way or the other.<ref name="IEC"/>
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Conversion factors:<ref>{{GreenBook2nd|page=114}}.</ref>
 
Conversion factors:<ref>{{GreenBook2nd|page=114}}.</ref>
 
:1 Ω<sub>int</sub> ≈ 1.000 49 Ω
 
:1 Ω<sub>int</sub> ≈ 1.000 49 Ω

Revision as of 05:12, 11 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.

Earlier systems

The link between electromagnetic units and the more familiar units of length, mass and time was first demonstrated by Gauss in 1832 with his measurement of the Earth's magnetic field,[1] and the principle was extended to electrical measurements by Neumann in 1845.[2] A complete system of metric electrical and magnetic units was proposed by Weber in 1851.[3][Note 1]

The development of the electric telegraph (an invention of Gauss and Weber) demonstrated the need for accurate electrical measurements. At the behest of Thomson, the British Association for the Advancement of Science (B.A.) set up a committee in 1862 to examine the options for standardizing electrical and magnetic units. After much discussion, the committee decided to adapt Weber's proposals to the cgs system of units:[4][Note 1] however the resulting "absolute" units were both difficult to realize and (often) impractically small. To overcome these handicaps, the B.A. also proposed a set of "practical" or "reproduceable" units, which were not directly linked to the cgs system but which were, as near as experimental accuracy allowed, equal to multiples of the corresponding cgs units.[5]

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[Note 2] 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:

V = IR

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:[5]

  • 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:[Note 2]
International Coulomb
the electric charge transferred by a current of one international ampere in one second;[Note 3]
International Farad
the capacitance of a capacitor charged to a potential of one international volt by one international coulomb of electricity;[Note 3]
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 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

With advances in the theory of electromagnetism and in quantity calculus, it became apparent that a coherent absolute system of units could only include one electromagnetic base unit. The first such system was proposed by Giorgi in 1901:[5][6] it used the ohm as the additional base unit in the MKS system, and so is often referred to as the MKSΩ system or the Giorgi system. It was adopted by the International Electrotechnical Commission (IEC) in 1935.[6]

An additional problem with the CGS system of electrical units, pointed out as early as 1882 by Heaviside,[7] was that they were not "rationalized", that is they failed to properly take account of permittivity and permeability as properties of a medium. Georgi was also a great proponent of rationalization of the electrical units, although the IEC did not take a position one way or the other.[6]

Conversion factors:[8]

1 Ωint ≈ 1.000 49 Ω
1 Vint ≈ 1.000 34 V

Notes and references

Notes

  1. ↑ 1.0 1.1 Weber's original proposal was based on a millimetre–milligram–second system of units.
  2. ↑ 2.0 2.1 The terminology of some of the definitions has been updated to modern usage.
  3. ↑ 3.0 3.1 The coulomb and the farad had been used in earlier B.A. systems of electrical units with slightly different definitions, hence the need to add the qualifier "international".

References

  1. ↑ Gauss, C. F. Intensitas vis magneticae terrestris ad mensuram absolutam revocata. Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores 1832–37, 8, 3–44. English translation.
  2. ↑ Neumann, F. E. Die mathematischen Gesetze der induciten elektrischen Ströme. Abhandlungen der Königlichen Preußischen Akademie der Wissenschaften zu Berlin 1845, 1–87, <http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=07-abh/1845&seite:int=24>; Franz Neumanns gesammelte Werke; B. G. Teubner: Leipzig, 1912; Vol. 3, pp 257–344, <http://quod.lib.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=AAN8146.0003.001;cc=umhistmath>. Neumann, F. Über ein allgemeines Princip der mathematischen Theorie inducirter elektrischer Ströme. Abhandlungen der Königlichen Preußischen Akademie der Wissenschaften zu Berlin 1847, 1–71, <http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=07-abh/1847&seite:int=27>; Franz Neumanns gesammelte Werke; B. G. Teubner: Leipzig, 1912; Vol. 3, pp 345–424, <http://quod.lib.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=AAN8146.0003.001;cc=umhistmath>.
  3. ↑ Weber, Wilhelm Eduard. In Encyclopædia Britannica, 11th ed., 1911; Vol. 28, p 458.
  4. ↑ Jenkin, Fleeming Reports of the Committee on Electrical Standards; London, 1873.
  5. ↑ 5.0 5.1 5.2 Units, Physical. In Encyclopædia Britannica, 11th ed., 1911; Vol. 27, pp 738–45.
  6. ↑ 6.0 6.1 6.2 Giovanni Giorgi; International Electrotechnical Commission, <http://www.iec.ch/about/history/articles/giovanni_giorgi.htm>. (accessed 11 August 2010).
  7. ↑ The Electrician 18 November 1882.
  8. ↑ Quantities, Units and Symbols in Physical Chemistry, 2nd ed.; Blackwell Science: Oxford, 1993; p 114. ISBN 0-63203-5838, <http://old.iupac.org/publications/books/gbook/green_book_2ed.pdf>.

External links

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