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...ref>{{citation | last = Maxwell | first = J. C. | authorlink = James Clerk Maxwell | title = A Treatise on Electricity and Magnetism | url = https://archive.o ...

...atically and experimentally sophisticated concepts and theories, including Maxwell's equations, electromagnetic waves, and Einstein's relativity. ...theory. Nevertheless, Faraday's theory remains distinct. Unlike Faraday, Maxwell and others (e.g., J.J. Thomson) thought that light and electricity must pro ...

{{Short description|1865 physics paper by James Maxwell}} ...a meeting of the Royal Society on 8 December 1864).''</ref> In the paper, Maxwell derives an electromagnetic wave equation with a velocity for light in close ...

{{short description|1873 books by James Clerk Maxwell}} | author = [[James Clerk Maxwell]] ...

...le lines. It is therefore convenient to collect many of these terms in the Maxwell stress tensor, and to use tensor arithmetic to find the answer to the probl In the relativistic formulation of electromagnetism, the Maxwell's tensor appears as a part of the [[electromagnetic stress–energy tensor]] ...

...omogeneous [[electromagnetic wave equation]]s. The equations follow from [[Maxwell's equations]]. == Maxwell's equations == ...

...hanics)|dynamic]] but non-relativistic [[quasistatic approximation]]s of [[Maxwell's equations]]. ...embedded in Maxwell's equations is known as the [[Lorentz invariance]]. In Maxwell's equations frame, assuming that the speed of moving charges is small compa ...

These two laws became part of the equations that govern electromagnetism, [[Maxwell's equations]]. ...ing a new source term called [[displacement current]], giving the [[Ampere–Maxwell equation]]. ...

...olarization]] and that of an [[electric field]], combining the two in an [[Maxwell's Equations#Auxiliary fields, polarization and magnetization|auxiliary fiel ...Clerk Maxwell's paper ''A Dynamical Theory of the Electromagnetic Field''. Maxwell introduced the term '''D''', specific capacity of electric induction, in a ...

...date=2016-06-03 }}</ref> The electromagnetic wave equation derives from [[Maxwell's equations]]. In most older literature, {{math|'''B'''}} is called the ''m [[File:Postcard-from-Maxwell-to-Tait.jpg|thumb|right|175px|A postcard from Maxwell to [[Peter Guthrie Tait|Peter Tait]].]] ...

...enz gauge condition is used to eliminate the redundant spin-0 component in Maxwell's equations when these are used to describe a massless spin-1 quantum field A quick justification of the Lorenz gauge can be found using [[Maxwell's equations]] and the relation between the magnetic vector potential and th ...

...in Franklin|Franklin]], [[Michael Faraday|Faraday]], [[James Clerk Maxwell|Maxwell]], [[Robert Millikan|Millikan]], and [[J. J. Thomson]], and was even occasi ...

...ter Ampère because of his contributions to understanding electric current. Maxwell does not take [[Ampère's force law]] as a starting point in deriving any of ...m, resulting in the modern form of the law, sometimes called the '''Ampère–Maxwell law''',<ref name="Fleisch">{{cite book ...

...} and the [[Lorentz force law]].{{sfnp|ps=|Purcell|Morin|2012|pp=277–296}} Maxwell's equations detail how the electric field converges towards or diverges awa ...ory, from which he then deduced that [[light]] is an electromagnetic wave. Maxwell's continuous field theory was very successful until evidence supporting the ...

...lux|definition of flux used in electromagnetism]]. The specific quote from Maxwell is: ...It represents the quantity which passes through the surface. |James Clerk Maxwell}} ...

...nsity''' is the quantity {{math|&part;'''D'''/&part;''t''}} appearing in [[Maxwell's equations]] that is defined in terms of the rate of change of {{math|'''D ...displacement current term is now seen as a crucial addition that completed Maxwell's equations and is necessary to explain many phenomena, most particularly t ...

...rk of [[Michael Faraday]] (1791–1867) and it is hinted at by [[James Clerk Maxwell]] (1831–1879). However, Rowland coined the term and was the first to make ...

...suggesting the existence of an [[electromagnetic field]] and [[James Clerk Maxwell]]'s use of [[differential equation]]s to describe it in his ''[[A Treatise Unfortunately, this definition has a caveat. From [[Maxwell's equations]], it is clear that {{nowrap|∇ × '''E'''}} is not always zero, ...

...eriments of [[Heinrich Hertz]] confirmed this, making [[radio]] possible. Maxwell also postulated, correctly, that [[light]] was a form of electromagnetic wa ...rent carrying [[Electrical conductor|conductors]]. In such circuits, even Maxwell's equations can be dispensed with and simpler formulations used. On the ot ...

...y are the solution to a set of [[linear differential equation]]s, namely [[Maxwell's equations]], where the current is one of the "source terms".</ref> ...nt [[charged particle]] ''q'' moving at a constant [[velocity]] '''v''', [[Maxwell's equations]] give the following expression for the [[electric field]] and ...