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#REDIRECT [[Ammeter]]
[[Image:Ampere-o-meter-vintage-HDR-0h.jpg|thumb|A vintage ampere meter.]]
The '''ampere-metre''' which has the symbol '''A m''', '''A-m''', or '''A·m''' is the [[SI]] unit for [[magnetic pole|pole]] strength in a [[magnet]].


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==Derivation==
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[[Einstein]] proved that a [[magnetic field]] is the [[theory of relativity|relativistic]] part of an [[electric field]]. This means that while an electric field acts between [[electric charge|charges]], a magnetic field acts between ''moving'' charges (as a charge moves through space more quickly and through time more slowly, its [[electromagnetism|electromagnetic force]] becomes more magnetic and less electric). Therefore, the pole strength is the product of charge and [[velocity]].
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<math>1~\mathrm{A \cdot m} = 1~\mathrm{C} \cdot \frac{\mathrm{m}}{\mathrm{s}}</math>

==Usefulness==
Few calculations actually involve the strength of a pole in ampere-metres because a [[monopole|single magnetic pole]] has never been isolated. Magnets are [[dipole|dipoles]] which require more complicated calculations than monopoles. However, the strength of a magnetic field is measured in [[Tesla_(unit)|teslas]] and one tesla is one [[Newton_(unit)|newton]] per ampere-metre which confirms that the unit for pole strength is indeed the ampere-metre.

==Misconceptions==
Charge is usually thought of as a [[scalar]] or a [[quantum number]] while velocity is a [[Vector (spatial)|vector]]. In fact, charge is a vector whose direction is determined by the [[Spin (physics)|spin]] of a particle, but [[macroscopic]] calculations are not concerned with this direction and define charge to be along an [[Cartesian Coordinate System|axis]] so that the direction of another vector is really its direction relative to charge. A vector pointing along an axis becomes one-dimensional, or identical to a scalar.

The idea that magnetic forces act on moving charges is clear in an [[electromagnet]] but not obvious in a [[permanent magnet]]. In fact, all substances have charges moving in them all of the time, one of the difficulties in reaching [[absolute zero]]. In most substances, all of the magnetic fields produced by this motion cancel each other out, but magnetic substances have more proper alignment. At the microscopic level, many molecules are magnets — [[hydrogen fluoride]] for example is a dipole. [[Polarity]] is most often expressed in terms of [[electronegativity]] but the strength of its poles could be expressed in ampere-metres as well.

==References==
*[http://www.phys.unsw.edu.au/einsteinlight/jw/module2_FEB.htm| the electric and magnetic forces between moving charges]
*[http://www.qsl.net/g4cnn/units/units.htm| units in electricity and magnetism]

[[Category: SI derived units]]

Latest revision as of 12:12, 11 June 2017

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