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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 ...
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 .
Faraday's law of induction was suggestive to Einstein when he wrote in 1905 about the "reciprocal electrodynamic action of a magnet and a conductor". [ 15 ] Nevertheless, the aspiration, reflected in references for this article, is for an analytic geometry of spacetime and charges providing a deductive route to forces and currents in practice.
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]
Ampère's circuital law, a rule relating the current in a conductor to the magnetic field around it; Ampère's force law, the force of attraction or repulsion between two current-carrying wires; Monge–Ampère equation, a type of nonlinear second order partial differential equation; AMPERS, the Association of Minnesota Public Educational Radio ...
Magnetic-core memory (1954) is an application of Ampère's circuital law. Each core stores one bit of data. The original law of Ampère states that magnetic fields relate to electric current. Maxwell's addition states that magnetic fields also relate to changing electric fields, which Maxwell called displacement current. The integral form ...
As described by Ampère's circuital law, each of the circular currents in the sheet induces its own magnetic field (marked in blue arrows in the diagram). Another way to understand the drag is to observe that in accordance with Lenz's law, the induced electromotive force must oppose the change in magnetic flux through the sheet. At the leading ...