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  2. Ampère's circuital law - Wikipedia

    en.wikipedia.org/wiki/Ampère's_circuital_law

    Media related to Ampere's law at Wikimedia Commons; MISN-0-138 Ampere's Law by Kirby Morgan for Project PHYSNET. MISN-0-145 The Ampere–Maxwell Equation; Displacement Current (PDF file) by J. S. Kovacs for Project PHYSNET. A Dynamical Theory of the Electromagnetic Field Maxwell's paper of 1864

  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. 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.

  5. Magnetic field - Wikipedia

    en.wikipedia.org/wiki/Magnetic_field

    The magnetic field generated by a steady current I (a constant flow of electric charges, in which charge neither accumulates nor is depleted at any point) [note 8] is described by the Biot–Savart law: [21]: 224 = ^, where the integral sums over the wire length where vector dâ„“ is the vector line element with direction in the same sense as ...

  6. Inhomogeneous electromagnetic wave equation - Wikipedia

    en.wikipedia.org/wiki/Inhomogeneous...

    Maxwell's equations can directly give inhomogeneous wave equations for the electric field E and magnetic field B. [1] Substituting Gauss's law for electricity and Ampère's law into the curl of Faraday's law of induction, and using the curl of the curl identity ∇ × (∇ × X) = ∇(∇ ⋅ X) − ∇ 2 X (The last term in the right side is the vector Laplacian, not Laplacian applied on ...

  7. Electromagnetic field - Wikipedia

    en.wikipedia.org/wiki/Electromagnetic_field

    The two Maxwell equations, Faraday's Law and the Ampère–Maxwell Law, illustrate a very practical feature of the electromagnetic field. Faraday's Law may be stated roughly as "a changing magnetic field inside a loop creates an electric voltage around the loop". This is the principle behind the electric generator.

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  9. 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 ...