Oersted (unit): Difference between revisions
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The magnetic field strength |'''H'''| in a point in vacuum is 1 Oe, if a unit magnetic pole in the point experiences a force of 1 [[dyne]] ( = 1⋅10<sup>−5</sup> newton). | The magnetic field strength |'''H'''| in a point in vacuum is 1 Oe, if a unit magnetic pole in the point experiences a force of 1 [[dyne]] ( = 1⋅10<sup>−5</sup> newton). | ||
Later the oersted was redefined as the strength of the magnetic field at a distance of 1 centimeter from a straight conductor of infinite length and negligible circular cross section which carries a current of 0.5 [[abampere]] ( = 5 A) for cgs-emu and a current of 0.5 ''c'' [[statampere]] ( = 5 A) for Gaussian units. Here ''c'' is the speed of light (≈ 3⋅10<sup>10</sup> cm). This definition follows from the [[Biot-Savart law#Infinite straight conductor|Biot-Savart law]]: | Later the oersted was redefined as the strength of the magnetic field at a distance of 1 centimeter from a straight conductor of infinite length and negligible circular cross section which carries a current of 0.5 [[abampere]] ( = 5 A) for cgs-emu and a current of 0.5 ''c'' [[statampere]] ( = 5 A) for Gaussian units. Here ''c'' is the speed of light (≈ 3⋅10<sup>10</sup> cm). This definition follows from the [[Biot-Savart law#Infinite straight conductor|Biot-Savart law]], for which (in vacuum '''B''' = '''H''' in cgs-emu and Gaussian units): | ||
:<math> | :<math> | ||
|\mathbf{H}| = \begin{cases} | |||
{\displaystyle \frac{2i}{r}}& \quad \hbox{cgs-emu units} \\ | {\displaystyle \frac{2i}{r}}& \quad \hbox{cgs-emu units} \\ | ||
\\ | \\ | ||
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The [[Biot-Savart law#Magnetic field on axis of circular current|Biot-Savart law]] | The [[Biot-Savart law#Magnetic field on axis of circular current|Biot-Savart law]] | ||
in Gaussian units | in Gaussian units states that the field in the center of a conducting loop of radius ''r'' is, | ||
:<math> | :<math> | ||
|\mathbf{H}| = \frac{2\pi i}{c r}, | |\mathbf{H}| = \frac{2\pi i}{c r}, | ||
</math> | </math> | ||
where ''c'' is speed of light. Hence, one may give a third consistent definition for the Gaussian unit ''oersted''. It is the magnetic field strength |'''H'''| in the center of a conducting loop with radius of 1 cm, carrying an electric current ''i'' of c/(2π) statA. (A very similar definition holds for the cgs-emu oersted). | where ''c'' is speed of light. Hence, one may give a third consistent definition for the Gaussian unit ''oersted'', which is very closely related to the second definition. It is the magnetic field strength |'''H'''| in the center of a conducting loop with radius of 1 cm, carrying an electric current ''i'' of c/(2π) statA. (A very similar definition holds for the cgs-emu oersted). | ||
One oersted equals 1000/4π ≈ 79.577 47 A/m (ampere per meter, which is the [[SI]] unit for |'''H'''|). | One oersted equals 1000/4π ≈ 79.577 47 A/m (ampere per meter, which is the [[SI]] unit for |'''H'''|). | ||
Before 1930 there was much confusion about the difference between the [[gauss (unit)|gauss]] (the cgs unit of [[magnetic flux density]] '''B''') and the oersted. At its meeting in Stockholm in 1930 the Advisory Committee on Nomenclature of the International Electrotechnical Commission eliminated all ambiguity by adopting the gauss for the unit of magnetic flux density and the oersted for the unit of magnetic field strength. | Before 1930 there was much confusion about the difference between the [[gauss (unit)|gauss]] (the cgs unit of [[magnetic flux density]] '''B''') and the oersted. At its meeting in Stockholm in 1930 the Advisory Committee on Nomenclature of the International Electrotechnical Commission eliminated all ambiguity by adopting the gauss for the unit of magnetic flux density and the oersted for the unit of magnetic field strength. | ||
Revision as of 08:57, 28 May 2008
In physics, the oersted (symbol Oe) is the unit of magnetic field strength |H| in the cgs-emu (centimeter-gram-second electromagnetic unit) and Gaussian systems of units. The oersted is named for the Danish physicist Hans Christian Oersted.
There are different (consistent) definitions in the literature. The oldest definition is: The magnetic field strength |H| in a point in vacuum is 1 Oe, if a unit magnetic pole in the point experiences a force of 1 dyne ( = 1⋅10−5 newton).
Later the oersted was redefined as the strength of the magnetic field at a distance of 1 centimeter from a straight conductor of infinite length and negligible circular cross section which carries a current of 0.5 abampere ( = 5 A) for cgs-emu and a current of 0.5 c statampere ( = 5 A) for Gaussian units. Here c is the speed of light (≈ 3⋅1010 cm). This definition follows from the Biot-Savart law, for which (in vacuum B = H in cgs-emu and Gaussian units):
where r (in cm) is the distance of the field point to the conductor.
The Biot-Savart law in Gaussian units states that the field in the center of a conducting loop of radius r is,
where c is speed of light. Hence, one may give a third consistent definition for the Gaussian unit oersted, which is very closely related to the second definition. It is the magnetic field strength |H| in the center of a conducting loop with radius of 1 cm, carrying an electric current i of c/(2π) statA. (A very similar definition holds for the cgs-emu oersted).
One oersted equals 1000/4π ≈ 79.577 47 A/m (ampere per meter, which is the SI unit for |H|).
Before 1930 there was much confusion about the difference between the gauss (the cgs unit of magnetic flux density B) and the oersted. At its meeting in Stockholm in 1930 the Advisory Committee on Nomenclature of the International Electrotechnical Commission eliminated all ambiguity by adopting the gauss for the unit of magnetic flux density and the oersted for the unit of magnetic field strength.