Back قانون غاوس المغناطيسي Arabic قانون جاوس المغناطيسى ARZ গাউসের চুম্বকত্বের সূত্র Bengali/Bangla Gaussov zakon za magnetizam BS Llei de Gauss per al magnetisme Catalan Gauss' lov om magnetisme Danish Gaussi seadus magnetvälja jaoks Estonian قانون مغناطیسی گاوس Persian Gaussin laki magneettikentille Finnish חוק גאוס למגנטיות HE

Gauss's law for magnetism

This article is about Gauss's law concerning the magnetic field. For analogous laws concerning different fields, see Gauss's law and Gauss's law for gravity. For Gauss's theorem, a mathematical theorem relevant to all of these laws, see Divergence theorem.
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In physics, Gauss's law for magnetism is one of the four Maxwell's equations that underlie classical electrodynamics. It states that the magnetic field B has divergence equal to zero,[1] in other words, that it is a solenoidal vector field. It is equivalent to the statement that magnetic monopoles do not exist.[2] Rather than "magnetic charges", the basic entity for magnetism is the magnetic dipole. (If monopoles were ever found, the law would have to be modified, as elaborated below.)

Gauss's law for magnetism can be written in two forms, a differential form and an integral form. These forms are equivalent due to the divergence theorem.

The name "Gauss's law for magnetism"[1] is not universally used. The law is also called "Absence of free magnetic poles".[2] It is also referred to as the "transversality requirement"[3] because for plane waves it requires that the polarization be transverse to the direction of propagation.

  1. ^ a b Chow, Tai L. (2006). Electromagnetic Theory: A modern perspective. Jones and Bartlett. p. 134. ISBN 0-7637-3827-1.
  2. ^ a b Jackson, John David (1999). Classical Electrodynamics (3rd ed.). Wiley. p. 237. ISBN 0-471-30932-X.
  3. ^ Joannopoulos, John D.; Johnson, Steve G.; Winn, Joshua N.; Meade, Robert D. (2008). Photonic Crystals: Molding the Flow of Light (2nd ed.). Princeton University Press. p. 9. ISBN 978-0-691-12456-8.

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