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  2. Ampère's circuital law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_circuital_law

    The original circuital law only applies to a magnetostatic situation, to continuous steady currents flowing in a closed circuit. For systems with electric fields that change over time, the original law (as given in this section) must be modified to include a term known as Maxwell's correction (see below).

  3. Magnetostatics - Wikipedia

    en.wikipedia.org/wiki/Magnetostatics

    Magnetostatics is the study of magnetic fields in systems where the currents are steady (not changing with time). It is the magnetic analogue of electrostatics , where the charges are stationary. The magnetization need not be static; the equations of magnetostatics can be used to predict fast magnetic switching events that occur on time scales ...

  4. Ampère's force law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_force_law

    Two current-carrying wires attract each other magnetically: The bottom wire has current I 1, which creates magnetic field B 1. The top wire carries a current I 2 through the magnetic field B 1, so (by the Lorentz force) the wire experiences a force F 12. (Not shown is the simultaneous process where the top wire makes a magnetic field which ...

  5. Mathematical descriptions of the electromagnetic field

    en.wikipedia.org/wiki/Mathematical_descriptions...

    In three dimensions, the derivative has a special structure allowing the introduction of a cross product: = + = + from which it is easily seen that Gauss's law is the scalar part, the Ampère–Maxwell law is the vector part, Faraday's law is the pseudovector part, and Gauss's law for magnetism is the pseudoscalar part of the equation.

  6. Magnetic field - Wikipedia

    en.wikipedia.org/wiki/Magnetic_field

    A slightly more general [22] [note 9] way of relating the current to the B-field is through Ampère's law: =, where the line integral is over any arbitrary loop and is the current enclosed by that loop. Ampère's law is always valid for steady currents and can be used to calculate the B-field for certain highly symmetric situations such as an ...

  7. Electric current - Wikipedia

    en.wikipedia.org/wiki/Electric_current

    For a steady flow of charge through a surface, the current I (in amperes) can be calculated with the following equation: =, where Q is the electric charge transferred through the surface over a time t. If Q and t are measured in coulombs and seconds respectively, I is in amperes.

  8. Oersted's law - Wikipedia

    en.wikipedia.org/wiki/Oersted's_law

    In electromagnetism, Ørsted's law, also spelled Oersted's law, is the physical law stating that an electric current induces a magnetic field. [ 2 ] This was discovered on 21 April 1820 by Danish physicist Hans Christian Ørsted (1777–1851), [ 3 ] [ 4 ] when he noticed that the needle of a compass next to a wire carrying current turned so ...

  9. Weber electrodynamics - Wikipedia

    en.wikipedia.org/wiki/Weber_electrodynamics

    For alternating currents and point charges, the different representations of Ampere's force law are not equivalent. Maxwell was familiar with Weber's electrodynamics and mentioned it positively. [11] Nevertheless, he decided to build his theory on the Biot-Savart law by generalizing it to cases where the conductor loops contain discontinuities.