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  2. Ampère's circuital law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_circuital_law

    Ampère's original circuital law. In 1820 Danish physicist Hans Christian Ørsted discovered that an electric current creates a magnetic field around it, when he noticed that the needle of a compass next to a wire carrying current turned so that the needle was perpendicular to the wire. [6][7] He investigated and discovered the rules which ...

  3. Ampère's force law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_force_law

    In magnetostatics, the force of attraction or repulsion between two current -carrying wires (see first figure below) is often called Ampère's force law. The physical origin of this force is that each wire generates a magnetic field, following the Biot–Savart law, and the other wire experiences a magnetic force as a consequence, following the ...

  4. Displacement current - Wikipedia

    en.wikipedia.org/wiki/Displacement_current

    t. e. In electromagnetism, displacement current density is the quantity ∂D/∂t appearing in Maxwell's equations that is defined in terms of the rate of change of 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.

  5. Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Maxwell's_equations

    Electromagnetism. 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. The equations provide a mathematical model for electric, optical, and radio ...

  6. Classical electromagnetism and special relativity - Wikipedia

    en.wikipedia.org/wiki/Classical_electromagnetism...

    e. The theory of special relativity plays an important role in the modern theory of classical electromagnetism. It gives formulas for how electromagnetic objects, in particular the electric and magnetic fields, are altered under a Lorentz transformation from one inertial frame of reference to another. It sheds light on the relationship between ...

  7. History of Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/History_of_Maxwell's_equations

    The four equations we use today appeared separately in Maxwell's 1861 paper, On Physical Lines of Force: 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.

  8. Inductance - Wikipedia

    en.wikipedia.org/wiki/Inductance

    Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The electric current produces a magnetic field around the conductor. The magnetic field strength depends on the magnitude of the electric current, and follows any changes in the magnitude of the current.

  9. Electromagnetic wave equation - Wikipedia

    en.wikipedia.org/wiki/Electromagnetic_wave_equation

    Electromagnetic wave equation. The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. It is a three-dimensional form of the wave equation. The homogeneous form of the equation, written in terms of either the electric field E or ...