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{{dablink|For other senses of this word, see [[magnetism (disambiguation)]].}}
{{electromagnetism3}}
In [[physics]], '''magnetism''' is one of the [[phenomena]] by which [[materials]] exert attractive or repulsive [[force]]s on other materials. Some well-known materials that exhibit easily detectable magnetic properties (called [[magnet]]s) are [[nickel]], [[iron]], [[cobalt]], and their [[alloy]]s; however, all materials are influenced to greater or lesser degree by the presence of a [[magnetic field]].

Magnetism also has other definitions/descriptions in physics, particularly as one of the two components of [[electromagnetic wave]]s such as [[light]].

==History==

[[Aristotle]] attributes the first of what could be called a scientific discussion on magnetism to [[Thales]], who lived from about 625 BC to about 545 BC.<ref>{{cite web |url= http://galileoandeinstein.physics.virginia.edu/more_stuff/E&M_Hist.html|title= Historical Beginnings of Theories of Electricity and Magnetism|accessdate=2008-04-02 |last= Fowler|first= Michael|date= 1997}}</ref> Around the same time in [[History of India|ancient India]], the [[Ayurveda|Indian surgeon]], [[Sushruta]], was the first to make use of the magnet for surgical purposes.<ref>{{citation|title=Early Evolution of Power Engineering|first=Hugh P.|last=Vowles
|journal=[[Isis (journal)|Isis]]|volume=17|issue=2|year=1932|publisher=[[University of Chicago Press]]|pages=412–420 [419–20]|doi=10.1086/346662}}</ref>

In ancient [[China]], the earliest literary reference to magnetism lies in a 4th century BC book called ''Book of the Devil Valley Master'' (鬼谷子): "The [[lodestone]] makes iron come or it attracts it."<ref>Li Shu-hua, “Origine de la Boussole 11. Aimant et Boussole,” ''Isis'', Vol. 45, No. 2. (Jul., 1954), p.175</ref> The earliest mention of the attraction of a needle appears in a work composed between AD 20 and 100 (''Louen-heng''): "A lodestone attracts a needle."<ref>Li Shu-hua, “Origine de la Boussole 11. Aimant et Boussole,” ''Isis'', Vol. 45, No. 2. (Jul., 1954), p.176</ref> The ancient [[China|Chinese]] scientist [[Shen Kuo]] (1031-1095) was the first person to write of the magnetic needle compass and that it improved the accuracy of navigation by employing the [[astronomical]] concept of [[true north]] ''([[Dream Pool Essays]]'', AD 1088 ), and by the 12th century the Chinese were known to use the lodestone [[compass]] for navigation.

[[Alexander Neckham]], by 1187, was the first in [[Europe]] to describe the compass and its use for navigation. In 1269, [[Peter of Maricourt|Peter Peregrinus de Maricourt]] wrote the ''Epistola de magnete'', the first extant treatise describing the properties of magnets. In 1282, the properties of magnets and the dry compass were discussed by Al-Ashraf, a [[Islamic physics|Yemeni physicist]], [[Islamic astronomy|astronomer]] and [[Islamic geography|geographer]].<ref>{{citation|title=Two Early Arabic Sources On The Magnetic Compass|first=Petra G.|last=Schmidl|journal=Journal of Arabic and Islamic Studies|year=1996-1997|volume=1|pages=81–132}}</ref>

In 1600, [[William Gilbert]] published his ''[[De Magnete|De Magnete, Magneticisque Corporibus, et de Magno Magnete Tellure]]'' (''On the Magnet and Magnetic Bodies, and on the Great Magnet the Earth''). In this work he describes many of his experiments with his model earth called the [[terrella]]. From his experiments, he concluded that the [[Earth's magnetic field|Earth]] was itself [[magnetic]] and that this was the reason compasses pointed north (previously, some believed that it was the pole star ([[Polaris]]) or a large magnetic island on the north pole that attracted the compass).

An understanding of the relationship between [[electricity]] and magnetism began in 1819 with work by [[Hans Christian Ørsted|Hans Christian Oersted]], a professor at the University of Copenhagen, who discovered more or less by accident that an electric current could influence a compass needle. This landmark experiment is known as Oersted's Experiment. Several other experiments followed, with [[André-Marie Ampère]], [[Carl Friedrich Gauss]], [[Michael Faraday]], and others finding further links between magnetism and electricity. [[James Clerk Maxwell]] synthesized and expanded these insights into [[Maxwell's equations]], unifying electricity, magnetism, and [[optics]] into the field of [[electromagnetism]]. In 1905, [[Einstein]] used these laws in motivating his theory of [[special relativity]]<ref> '' A. Einstein: "On the Electrodynamics of Moving Bodies", June 30, 1905. http://www.fourmilab.ch/etexts/einstein/specrel/www/.'' </ref>, requiring that the laws held true in all [[inertial reference frame]]s.

Electromagnetism has continued to develop into the twentieth century, being incorporated into the more fundamental theories of [[gauge theory]], [[quantum electrodynamics]], [[electroweak theory]], and finally the [[standard model]].

== Physics of magnetism ==
===Magnets and magnetic materials===
{{main|Magnet}}
Every [[electron]], on account of its [[spin (physics)|spin]], is a small magnet (see [[Electron magnetic dipole moment]]). In most materials, the countless electrons have randomly oriented spins, leaving no magnetic effect on average. However, in a bar magnet many of the electron spins are aligned in the same direction, so they act cooperatively, creating a net magnetic field.

In addition to the electron's intrinsic magnetic field, there is sometimes an additional magnetic field that results from the electron's [[orbital motion (quantum)|orbital motion]] about the [[Atomic nucleus|nucleus]]. This effect is analogous to how a current-carrying loop of wire generates a magnetic field (see [[Magnetic dipole]]). Again, ordinarily, the motion of the electrons is such that there is no average field from the material, but in certain conditions, the motion can line up so as to produce a measurable total field.

The overall magnetic behavior of a material can vary widely, depending on the structure of the material, and particularly on its [[electron configuration]]. Several forms of magnetic behavior have been observed in different materials, including:

* [[Diamagnetism]]
* [[Paramagnetism]]
** [[Molecular magnet]]
* [[Ferromagnetism]]
** [[Antiferromagnetism]]
** [[Ferrimagnetism]]
** [[Metamagnetism]]
* [[Spin glass]]
* [[Superparamagnetism]]

===Magnetism, electricity, and special relativity===
{{main|Classical electromagnetism and special relativity}}
As a consequence of Einstein's theory of special relativity, electricity and magnetism are understood to be fundamentally interlinked. Both magnetism lacking electricity, and electricity without magnetism, are inconsistent with special relativity, due to such effects as [[length contraction]], [[time dilation]], and the fact that the [[magnetic force]] is velocity-dependent. However, when both electricity and magnetism are taken into account, the resulting theory (electromagnetism) is fully consistent with special relativity<ref> '' A. Einstein: "On the Electrodynamics of Moving Bodies", June 30, 1905. http://www.fourmilab.ch/etexts/einstein/specrel/www/.'' </ref><ref>{{cite book|last = [[David J. Griffiths|Griffiths]]|first = David J.|title = Introduction to Electrodynamics|edition = 3rd ed.|publisher = Prentice Hall|year = 1998|isbn = 0-13-805326-X|oclc = 40251748}}, chapter 12</ref>. In particular, a phenomenon that appears purely electric to one observer may be purely magnetic to another, or more generally the relative contributions of electricity and magnetism are dependent on the frame of reference. Thus, special relativity "mixes" electricity and magnetism into a single, inseparable phenomenon called electromagnetism (analogously to how special relativity "mixes" space and time into [[spacetime]]).

===Magnetic fields and forces===
[[Image:Magnet0873.png|thumb|Magnetic lines of force of a bar magnet shown by iron filings on paper]]
{{main|Magnetic field}}

The phenomenon of magnetism is "mediated" by the magnetic field -- i.e., an electric current or magnetic dipole creates a magnetic field, and that field, in turn, imparts magnetic forces on other particles that are in the fields.

To an excellent approximation (but ignoring some quantum effects---see quantum electrodynamics), Maxwell's equations (which simplify to the [[Biot-Savart law]] in the case of steady currents) describe the origin and behavior of the fields that govern these forces. Therefore magnetism is seen whenever electrically [[electric charge|charged particles]] are in [[Motion (physics)|motion]]---for example, from movement of electrons in an [[electric current]], or in certain cases from the orbital motion of electrons around an atom's nucleus. They also arise from "intrinsic" [[magnetic dipole]]s arising from quantum effects, i.e. from quantum-mechanical [[Spin (physics)|spin]].

The same situations which create magnetic fields (charge moving in a current or in an atom, and intrinsic magnetic dipoles) are also the situations in which a magnetic field has an effect, creating a force. Following is the formula for moving charge; for the forces on an intrinsic dipole, see magnetic dipole.

When a charged particle moves through a magnetic field ''B'', it feels a force ''F'' given by the [[cross product]]:
:<math>\vec{F} = q \vec{v} \times \vec{B}</math>
where
<math>q\,</math> is the electric charge of the particle,
<math>\vec{v} \,</math> is the [[velocity]] [[Vector (geometric)|vector]] of the particle, and <math>\vec{B} \,</math> is the magnetic field. Because this is a cross product, the force is [[perpendicular]] to both the motion of the particle and the magnetic field. It follows that the magnetic force does no [[mechanical work|work]] on the particle; it may change the direction of the particle's movement, but it cannot cause it to speed up or slow down. The magnitude of the force is
:<math>F = q v B \sin\theta\,</math>
where <math>\theta \,</math> is the angle between the <math>\vec{v} \,</math> and <math>\vec{B} \,</math> vectors.

One tool for determining the direction of the velocity vector of a moving charge, the magnetic field, and the force exerted is labeling the [[index finger]] "V", the [[middle finger]] "B", and the [[thumb]] "F" with your right hand. When making a gun-like configuration (with the middle finger crossing under the index finger), the fingers represent the velocity vector, magnetic field vector, and force vector, respectively. See also [[right hand rule]].

===Magnetic dipoles===

{{main|Magnetic dipole}}

A very common source of magnetic field shown in nature is a [[dipole]], with a "[[South pole]]" and a "[[North pole]]"; terms dating back to the use of magnets as compasses, interacting with the [[Earth's magnetic field]] to indicate North and South on the [[globe]]. Since opposite ends of magnets are attracted, the north pole of a magnet is attracted to the south pole of another magnet. Interestingly, this concept of opposite polarities attracting wasn't used in the naming convention for the earth's magnetic field, so the earth's magnetic north pole (in Canada) attracts the magnetic north pole of a compass see [[North Magnetic Pole]].

A magnetic field contains [[energy]], and physical systems move toward configurations with lower energy. Therefore, when placed in a magnetic field, a '''magnetic dipole''' tends to align itself in opposed polarity to that field, thereby canceling the net field strength as much as possible and lowering the energy stored in that field to a minimum. For instance, two identical bar magnets placed side-to-side normally line up North to South, resulting in a much smaller net magnetic field, and resist any attempts to reorient them to point in the same direction. The energy required to reorient them in that configuration is then stored in the resulting magnetic field, which is double the strength of the field of each individual magnet. (This is, of course, why a magnet used as a compass interacts with the Earth's magnetic field to indicate North and South).

An alternative, equivalent formulation, which is often easier to apply but perhaps offers less insight, is that a magnetic dipole in a magnetic field experiences a [[torque]] and a force which can be expressed in terms of the field and the strength of the dipole (i.e., its [[magnetic dipole moment]]). For these equations, see magnetic dipole.

===Magnetic monopoles===
{{main|Magnetic monopole}}
Since a bar magnet gets its ferromagnetism from electrons distributed evenly throughout the bar, when a bar magnet is cut in half, each of the resulting pieces is a smaller bar magnet. Even though a magnet is said to have a north pole and a south pole, these two poles cannot be separated from each other. A monopole — if such a thing exists — would be a new and fundamentally different kind of magnetic object. It would act as an isolated north pole, not attached to a south pole, or vice versa. Monopoles would carry "magnetic charge" analogous to electric charge. Despite systematic searches since 1931, {{As of|2006|lc=on}}, they have never been observed, and could very well not exist.<ref>Milton mentions some inconclusive events (p.60) and still concludes that "no evidence at all of magnetic monopoles has survived" (p.3). {{cite journal |last=Milton |first=Kimball A. |title=Theoretical and experimental status of magnetic monopoles |journal=Reports on Progress in Physics |volume=69 |issue=6 |month=June |year=2006 |pages=1637–1711 |doi=10.1088/0034-4885/69/6/R02 |url=http://arxiv.org/abs/hep-ex/0602040}}.</ref>

Nevertheless, some [[theoretical physics]] models predict the existence of these [[magnetic monopoles]]. [[Paul Dirac]] observed in 1931 that, because electricity and magnetism show a certain [[symmetry]], just as [[Quantum electrodynamics|quantum theory]] predicts that individual [[negative and non-negative numbers|positive]] or negative electric charges can be observed without the opposing charge, isolated South or North magnetic poles should be observable. Using quantum theory Dirac showed that if magnetic monopoles exist, then one could explain the quantization of electric charge---that is, why the observed [[elementary particles]] carry charges that are multiples of the charge of the electron.

Certain [[grand unified theories]] predict the existence of monopoles which, unlike elementary particles, are [[solitons]] (localized energy packets). The initial results of using these models to estimate the number of monopoles created in the [[big bang]] contradicted cosmological observations — the monopoles would have been so plentiful and massive that they would have long since halted the expansion of the universe. However, the idea of [[Cosmic inflation|inflation]] (for which this problem served as a partial motivation) was successful in solving this problem, creating models in which monopoles existed but were rare enough to be consistent with current observations.<ref>{{cite book |first=Alan|last=Guth|authorlink=Alan Guth|title=The Inflationary Universe: The Quest for a New Theory of Cosmic Origins|isbn=0-201-32840-2|publisher=Perseus|year=1997 |oclc=38941224}}.</ref>

==Units of electromagnetism==
===SI units related to magnetism===
{| class="wikitable"
! colspan="5" | {{tnavbar-header|[[SI]] electromagnetism units|SI electromagnetism units}}
|-
!Symbol<ref>{{GreenBookRef2nd|pages=14–15}}</ref>
!Name of Quantity
!Derived Units
!Unit
!Base Units
|-
| ''I''
| [[Electric current]]
| [[ampere]] ([[SI#Base_units|SI base unit]])
| A
| A (= W/V = C/s)
|-
| ''Q''
| [[Electric charge]]
| [[coulomb]]
| C
| A·s
|-
| ''U'', Δ''V'', Δ''φ''; ''E''
| [[Potential difference]]; [[Electromotive force]]
| [[volt]]
| V
| J/C = kg·m<sup>2</sup>·s<sup>&minus;3</sup>·A<sup>&minus;1</sup>
|-
| ''R''; ''Z''; ''X''
| [[Electric resistance]]; [[Electrical impedance|Impedance]]; [[Reactance (electronics)|Reactance]]
| [[Ohm (unit)|ohm]]
| Ω
| V/A = kg·m<sup>2</sup>·s<sup>&minus;3</sup>·A<sup>&minus;2</sup>
|-
| ''ρ''
| [[Resistivity]]
| [[Ohm (unit)|ohm]] [[metre]]
| Ω·m
| kg·m<sup>3</sup>·s<sup>&minus;3</sup>·A<sup>&minus;2</sup>
|-
| ''P''
| [[Electric power]]
| [[watt]]
| W
| V·A = kg·m<sup>2</sup>·s<sup>&minus;3</sup>
|-
| ''C''
| [[Capacitance]]
| [[farad]]
| F
| C/V = kg<sup>&minus;1</sup>·m<sup>&minus;2</sup>·A<sup>2</sup>·s<sup>4</sup>
|-
| '''''E'''''
| [[Electric field]] strength
| [[volt]] per [[metre]]
| V/m
| N/C = kg·m·A<sup>&minus;1</sup>·s<sup>&minus;3</sup>
|-
| '''''D'''''
| [[Electric displacement field]]
| [[Coulomb]] per [[square metre]]
| C/m<sup>2</sup>
| A·s·m<sup>&minus;2</sup>
|-
| ''ε''
| [[Permittivity]]
| [[farad]] per [[metre]]
| F/m
| kg<sup>&minus;1</sup>·m<sup>&minus;3</sup>·A<sup>2</sup>·s<sup>4</sup>
|-
| ''χ''<sub>e</sub>
| [[Electric susceptibility]]
| (dimensionless)
| -
| -
|-
| ''G''; ''Y''; ''B''
| [[Electrical conductance|Conductance]]; [[Admittance]]; [[Susceptance]]
| [[Siemens (unit)|siemens]]
| S
| Ω<sup>&minus;1</sup> = kg<sup>&minus;1</sup>·m<sup>&minus;2</sup>·s<sup>3</sup>·A<sup>2</sup>
|-
| ''κ'', ''γ'', ''σ''
| [[Electrical conductivity|Conductivity]]
| [[siemens (unit)|siemens]] per [[metre]]
| S/m
| kg<sup>&minus;1</sup>·m<sup>&minus;3</sup>·s<sup>3</sup>·A<sup>2</sup>
|-
| '''''B'''''
| [[Magnetic field|Magnetic flux density, Magnetic induction]]
| [[tesla (unit)|tesla]]
| T
| Wb/m<sup>2</sup> = kg·s<sup>&minus;2</sup>·A<sup>&minus;1</sup> = N·A<sup>&minus;1</sup>·m<sup>&minus;1</sup>
|-
| ''Φ''
| [[Magnetic flux]]
| [[weber (unit)|weber]]
| Wb
| V·s = kg·m<sup>2</sup>·s<sup>&minus;2</sup>·A<sup>&minus;1</sup>
|-
| '''''H'''''
| [[Magnetic field]] strength
| [[ampere]] per [[metre]]
| A/m
| A·m<sup>&minus;1</sup>
|-
| ''L'', ''M''
| [[Inductance]]
| [[henry (unit)|henry]]
| H
| Wb/A = V·s/A = kg·m<sup>2</sup>·s<sup>&minus;2</sup>·A<sup>&minus;2</sup>
|-
| ''μ''
| [[Permeability (electromagnetism)|Permeability]]
| [[henry (unit)|henry]] per [[metre]]
| H/m
| kg·m<sup></sup>·s<sup>&minus;2</sup>·A<sup>&minus;2</sup>
|-
| ''χ''
| [[Magnetic susceptibility]]
| (dimensionless)
| -
| -
|-
|}

===Other units===
* [[Gauss (unit)|gauss]] — The '''gauss''', abbreviated as G, is the [[CGS]] [[units of measurement|unit]] of magnetic field ('''B''').
* [[oersted]] — The '''oersted''' is the CGS unit of [[Magnetic field#B and H|magnetizing field]] ('''H''').
* [[Maxwell (unit)|Maxwell]] — is the CGS unit for the [[magnetic flux]].
* gamma — is a unit of magnetic flux density that was commonly used before the tesla became popular (1 gamma = 1 nT)
* ''μ''<sub>0</sub> — common symbol for the [[Permeability (electromagnetism)|permeability]] of free space (4π×10<sup>−7</sup> [[Newton|N]]/([[ampere-turn]])²).

==Living things==

Some organisms can detect magnetic fields, a phenomenon known as [[magnetoception]]. [[Magnetobiology]] studies magnetic fields as a medical treatment; fields naturally produced by an organism are known as [[biomagnetism]].

==See also==
{{wikibookspar||School science how-to}}
<div style="-moz-column-count:3; column-count:3;">
* [[Electrostatics]]
* [[Electromagnet]]
* [[Magnetostatics]]
* [[Electromagnetism]]
* [[Lenz's law]]
* [[Plastic magnet]]
* [[Magnet]]
* [[Magnetar]]
* [[Magnetic bearing]]
* [[Magnetic cooling]]
* [[Magnetic circuit]]
* [[Magnetic moment]]
* [[Magnetic structure]]
* [[Magnetization]]
* [[Micromagnetism]]
* [[Neodymium magnet]]
* [[Coercivity]]
* [[Rare-earth magnet]]
* [[Spin wave]]
* [[Spontaneous magnetization]]
* [[Sensor]]
* [[Magnetic stirrer]]
</div>
{{magnetic states}}

==References==
{{Reflist}}
{{refbegin}}
*{{cite book | author=Furlani, Edward P. | title=Permanent Magnet and Electromechanical Devices: Materials, Analysis and Applications | publisher=Academic Press | year=2001 | isbn=0-12-269951-3 | oclc=162129430}}
*{{cite book | author=Griffiths, David J.|title=Introduction to Electrodynamics (3rd ed.)| publisher=Prentice Hall |year=1998 |isbn=0-13-805326-X | oclc=40251748}}
*{{cite book | author=Kronmüller,Helmut.|title=Handbook of Magnetism and Advanced Magnetic Materials, 5 Volume Set| publisher=John Wiley & Sons|year=2007 |isbn=978-0-470-02217-7 | oclc=124165851}}
*{{cite book | author=Tipler, Paul | title=Physics for Scientists and Engineers: Electricity, Magnetism, Light, and Elementary Modern Physics (5th ed.) | publisher=W. H. Freeman | year=2004 | isbn=0-7167-0810-8 | oclc=51095685}}
{{refend}}

==External links==
{{Wiktionary}}
* [http://sciencecastle.com/sc/index.php/scienceexperiments/search?p=0&t=a&v=mr&c=0&cl=1] Magnetism Experiments
* [http://www.lightandmatter.com/html_books/0sn/ch11/ch11.html Electromagnetism] - a chapter from an online textbook
*[http://www.physnet.org/modules/pdfmodules/m426.pdf ' 'Magnetic Force and Field ''] on [http://www.physnet.org Project PHYSNET]
*[http://www.antiquebooks.net/readpage.html#gilbert On the Magnet, 1600] First scientific book on magnetism by the father of electrical engineering. Full English text, full text search.

[[Category:Magnetism| ]]

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Revision as of 19:56, 18 December 2008