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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 ...
Ampère's circuital law The mathematical relation between the integral of the magnetic field over some closed curve to the current passing through the region bound by the curve. Ampère's force law The mathematical relation between the force between two current carrying conductors and the current flowing in them. Ampère's law Ampère's ...
Second law: The acceleration of an object of constant mass is proportional to the net force acting upon it. Third law: Whenever one body exerts a force upon a second body, the second body exerts an equal and opposite force upon the first body. Nielsen's law: A high-end user's internet connection speed grows by 50% per year.
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 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.
Ampère's force law describes the experimentally-derived fact that, for two thin, straight, stationary, parallel wires, a distance r apart, in each of which a current I flows, the force per unit length, F m /L, that one wire exerts upon the other in the vacuum of free space would be given by .
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In classical electromagnetism, Ampère's circuital law (not to be confused with Ampère's force law) [1] relates the circulation of a magnetic field around a closed loop to the electric current passing through the loop. James Clerk Maxwell derived it using hydrodynamics in his 1861 published paper "On Physical Lines of Force". [2]