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The ampere-turn (symbol A⋅t) is the MKS (metre–kilogram–second) unit of magnetomotive force (MMF), represented by a direct current of one ampere flowing in a single-turn loop. [1] Turns refers to the winding number of an electrical conductor composing an electromagnetic coil .
Magnetic field (green) induced by a current-carrying wire winding (red) in a magnetic circuit consisting of an iron core C forming a closed loop with two air gaps G in it. In an analogy to an electric circuit, the winding acts analogously to an electric battery, providing the magnetizing field , the core pieces act like wires, and the gaps G act like resistors.
("R") is the reluctance in ampere-turns per weber (a unit that is equivalent to turns per henry). "Turns" refers to the winding number of an electrical conductor comprising an inductor. ("F") is the magnetomotive force (MMF) in ampere-turns; Φ ("Phi") is the magnetic flux in webers.
As such, the SI unit of magnetic dipole moment is ampere meter 2. More precisely, to account for solenoids with many turns the unit of magnetic dipole moment is ampere–turn meter 2. In the magnetic pole model, the magnetic dipole moment is due to two equal and opposite magnetic charges that are separated by a distance, d.
For a tightly wound coil of wire, composed of N identical turns, each with the same Φ B, Faraday's law of induction states that [24] [25] = where N is the number of turns of wire and Φ B is the magnetic flux through a single loop.
The curve C in turn bounds both a surface S which the electric current passes through (again arbitrary but not closed—since no three-dimensional volume is enclosed by S), and encloses the current. The mathematical statement of the law is a relation between the circulation of the magnetic field around some path (line integral) due to the ...
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Here denotes the number of turns in loop ; is the magnetic flux through loop ; and , are some constants described below. This equation follows from Ampere's law : magnetic fields and fluxes are linear functions of the currents .