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Displacement current
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{{Short description|Physical quantity in electromagnetism}} {{About-distinguish|electric displacement current|magnetic displacement current}} {{Use American English|date = March 2019}} {{electromagnetism|cTopic=Electrodynamics}} In [[electromagnetism]], '''displacement current density''' is the quantity {{math|∂'''D'''/∂''t''}} appearing in [[Maxwell's equations]] that is defined in terms of the rate of change of {{math|'''D'''}}, the [[electric displacement field]]. Displacement current density has the same units as electric current density, and it is a source of the [[magnetic field]] just as actual current is. However it is not an electric current of moving [[Electric charge|charges]], but a time-varying [[electric field]]. In physical materials (as opposed to vacuum), there is also a contribution from the slight motion of charges bound in atoms, called [[dielectric polarization]]. The idea was conceived by [[James Clerk Maxwell]] in his 1861 paper ''[https://books.google.com/books?id=v1YEAAAAYAAJ&pg=PA14 On Physical Lines of Force, Part III]'' in connection with the displacement of electric particles in a [[dielectric]] medium. Maxwell added displacement current to the [[electric current]] term in [[Ampère's circuital law]]. In his 1865 paper [[A Dynamical Theory of the Electromagnetic Field]] Maxwell used this amended version of Ampère's circuital law to derive the [[electromagnetic wave equation]]. This derivation is now generally accepted as a historical landmark in physics by virtue of uniting electricity, magnetism and optics into one single unified theory. The displacement current term is now seen as a crucial addition that completed Maxwell's equations and is necessary to explain many phenomena, most particularly the existence of [[electromagnetic wave]]s.
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