Editing Magnetic monopole (section)

== Poles and magnetism in ordinary matter ==
{{main|Magnetism}}
{{Unreferenced section|date=January 2023}}

All matter isolated to date, including every atom on the [[periodic table]] and every particle in the [[Standard Model]], has zero magnetic monopole charge. Therefore, the ordinary phenomena of [[magnetism]] and [[magnet]]s do not derive from magnetic monopoles.

Instead, magnetism in ordinary matter is due to two sources. First, [[electric current]]s create [[magnetic field]]s according to [[Ampère's law]]. Second, many [[elementary particles]] have an ''intrinsic'' [[magnetic moment]], the most important of which is the [[electron magnetic dipole moment]], which is related to its [[Spin (physics)|quantum-mechanical spin]].

Mathematically, the magnetic field of an object is often described in terms of a [[multipole expansion]]. This is an expression of the field as the sum of component fields with specific mathematical forms. The first term in the expansion is called the ''monopole'' term, the second is called ''dipole'', then ''[[quadrupole magnet|quadrupole]]'', then ''octupole'', and so on. Any of these terms can be present in the multipole expansion of an [[electric field]], for example. However, in the multipole expansion of a ''magnetic'' field, the "monopole" term is always exactly zero (for ordinary matter). A magnetic monopole, if it exists, would have the defining property of producing a magnetic field whose ''monopole'' term is non-zero.

A [[magnetic dipole]] is something whose magnetic field is predominantly or exactly described by the magnetic dipole term of the multipole expansion. The term ''dipole'' means ''two poles'', corresponding to the fact that a dipole magnet typically contains a ''north pole'' on one side and a ''south pole'' on the other side. This is analogous to an [[electric dipole]], which has positive charge on one side and negative charge on the other. However, an electric dipole and magnetic dipole are fundamentally quite different. In an electric dipole made of ordinary matter, the positive charge is made of [[proton]]s and the negative charge is made of [[electron]]s, but a magnetic dipole does ''not'' have different types of matter creating the north pole and south pole. Instead, the two magnetic poles arise simultaneously from the aggregate effect of all the currents and intrinsic moments throughout the magnet. Because of this, the two poles of a magnetic dipole must always have equal and opposite strength, and the two poles cannot be separated from each other.