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  2. Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Maxwell's_equations

    Maxwell's equations on a plaque on his statue in Edinburgh. Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, electric and magnetic circuits.

  3. History of Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/History_of_Maxwell's_equations

    Equation (56) in Maxwell's 1861 paper is Gauss's law for magnetism, ∇ • B = 0. Equation (112) is Ampère's circuital law , with Maxwell's addition of displacement current . This may be the most remarkable contribution of Maxwell's work, enabling him to derive the electromagnetic wave equation in his 1865 paper A Dynamical Theory of the ...

  4. James Clerk Maxwell - Wikipedia

    en.wikipedia.org/wiki/James_Clerk_Maxwell

    James Clerk Maxwell FRS FRSE (13 June 1831 – 5 November 1879) was a Scottish physicist and mathematician [1] who was responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism and light as different manifestations of the same phenomenon.

  5. A Dynamical Theory of the Electromagnetic Field - Wikipedia

    en.wikipedia.org/wiki/A_Dynamical_Theory_of_the...

    Gauss's law for magnetism (∇⋅ B = 0) is not included in the above list, but follows directly from equation by taking divergences (because the divergence of the curl is zero). Substituting into yields the familiar differential form of the Maxwell-Ampère law.

  6. A Treatise on Electricity and Magnetism - Wikipedia

    en.wikipedia.org/wiki/A_Treatise_on_Electricity...

    A Treatise on Electricity and Magnetism is a two-volume treatise on electromagnetism written by James Clerk Maxwell in 1873. Maxwell was revising the Treatise for a second edition when he died in 1879. The revision was completed by William Davidson Niven for publication in 1881.

  7. Ampère's circuital law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_circuital_law

    The original form of Maxwell's circuital law, which he derived as early as 1855 in his paper "On Faraday's Lines of Force" [9] based on an analogy to hydrodynamics, relates magnetic fields to electric currents that produce them. It determines the magnetic field associated with a given current, or the current associated with a given magnetic field.

  8. Introduction to electromagnetism - Wikipedia

    en.wikipedia.org/wiki/Introduction_to...

    The second of Maxwell's equations is known as Gauss's law for magnetism and, similarly to the first Gauss's law, it describes flux, but instead of electric flux, it describes magnetic flux. According to Gauss's law for magnetism, the flow of magnetic field through a closed surface is always zero. This means that if there is a magnetic field ...

  9. On Physical Lines of Force - Wikipedia

    en.wikipedia.org/wiki/On_Physical_Lines_of_Force

    In it, Maxwell derived the equations of electromagnetism in conjunction with a "sea" of "molecular vortices" which he used to model Faraday's lines of force. Maxwell had studied and commented on the field of electricity and magnetism as early as 1855/56 when "On Faraday's Lines of Force" [2] was read to the Cambridge Philosophical Society.

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