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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 force law [15] [16] states that there is an attractive or repulsive force between two parallel wires carrying an electric current. This force is used in the formal definition of the ampere. The SI unit of charge, the coulomb, was then defined as "the quantity of electricity carried in 1 second by a current of 1 ampere".
The force between two identical cylindrical bar magnets ... is the normal distance between the two parallel faces of ... if there is no current in the wire, the ...
The phenomenon was further investigated by Ampère, who discovered that two parallel current-carrying wires exerted a force upon each other: two wires conducting currents in the same direction are attracted to each other, while wires containing currents in opposite directions are forced apart. [53]
A changing current through the first wire creates a changing magnetic field around it by Ampere's circuital law. The changing magnetic field induces an electromotive force (EMF) voltage in the second wire by Faraday's law of induction. The amount of inductive coupling between two conductors is measured by their mutual inductance.
In particular, he also studied the magnetic forces between non-parallel wires. [27] The final result of his work was a force law that is now named after him. In 1835, Carl Friedrich Gauss realized [ 12 ] that Ampere's force law in its original form can be explained by a generalization of Coulomb's law .
The cause of proximity effect can be seen from the accompanying drawings of two parallel wires next to each other carrying alternating current (AC). [1] [2]: p.142-143 The righthand wire in each drawing has the top part transparent to show the currents inside the metal. Each drawing depicts a point in the alternating current cycle when the ...
Furthermore, prior to the revision the SI base unit of electric current, the ampere (A), was defined as the current needed to produce a force of 0.2 μN between 2 parallel wires 1 m apart for every metre of length. Substituting these parameters into Ampère's force law gives: 2 k A A 2 /m = 0.2 μN/m; or A 2 = μN / 10 k A ,