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  2. Faraday's law of induction - Wikipedia

    en.wikipedia.org/wiki/Faraday's_law_of_induction

    Heaviside's version (see Maxwell–Faraday equation below) is the form recognized today in the group of equations known as Maxwell's equations. Lenz's law , formulated by Emil Lenz in 1834, [ 13 ] describes "flux through the circuit", and gives the direction of the induced emf and current resulting from electromagnetic induction (elaborated ...

  3. Electromagnetic induction - Wikipedia

    en.wikipedia.org/wiki/Electromagnetic_induction

    Electromagnetic or magnetic induction is the production of an electromotive force (emf) across an electrical conductor in a changing magnetic field. Michael Faraday is generally credited with the discovery of induction in 1831, and James Clerk Maxwell mathematically described it as Faraday's law of induction.

  4. Induction equation - Wikipedia

    en.wikipedia.org/wiki/Induction_equation

    In magnetohydrodynamics, the induction equation is a partial differential equation that relates the magnetic field and velocity of an electrically conductive fluid such as a plasma. It can be derived from Maxwell's equations and Ohm's law , and plays a major role in plasma physics and astrophysics , especially in dynamo theory .

  5. Faraday paradox - Wikipedia

    en.wikipedia.org/wiki/Faraday_paradox

    The Maxwell–Faraday equation is one of the four Maxwell's equations, and therefore plays a fundamental role in the theory of classical electromagnetism. It can also be written in an integral form by the Kelvin–Stokes theorem .

  6. A Dynamical Theory of the Electromagnetic Field - Wikipedia

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

    Another of Heaviside's four equations is an amalgamation of Maxwell's law of total currents (equation "A") with Ampère's circuital law (equation "C"). This amalgamation, which Maxwell himself had actually originally made at equation (112) in "On Physical Lines of Force", is the one that modifies Ampère's Circuital Law to include Maxwell's ...

  7. History of Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/History_of_Maxwell's_equations

    [24] [25] Maxwell deals with the motion-related aspect of electromagnetic induction, v × B, in equation (77), which is the same as equation (D) in Maxwell's original equations as listed below. It is expressed today as the force law equation, F = q ( E + v × B ) , which sits adjacent to Maxwell's equations and bears the name Lorentz force ...

  8. Jefimenko's equations - Wikipedia

    en.wikipedia.org/wiki/Jefimenko's_equations

    In electromagnetism, Jefimenko's equations (named after Oleg D. Jefimenko) give the electric field and magnetic field due to a distribution of electric charges and electric current in space, that takes into account the propagation delay (retarded time) of the fields due to the finite speed of light and relativistic effects.

  9. Exact solutions in general relativity - Wikipedia

    en.wikipedia.org/wiki/Exact_solutions_in_general...

    These tensor fields should obey any relevant physical laws (for example, any electromagnetic field must satisfy Maxwell's equations).Following a standard recipe which is widely used in mathematical physics, these tensor fields should also give rise to specific contributions to the stress–energy tensor. [1]