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It determines the magnetic field associated with a given current, or the current associated with a given magnetic field. The original circuital law only applies to a magnetostatic situation, to continuous steady currents flowing in a closed circuit. For systems with electric fields that change over time, the original law (as given in this ...
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 ...
The electric field (E) is the dual of the magnetic field (H). The electric displacement field (D) is the dual of the magnetic flux density (B). Faraday's law of induction is the dual of Ampère's circuital law. Gauss's law for electric field is the dual of Gauss's law for magnetism. The electric potential is the dual of the magnetic potential.
A current-carrying coil of wire induces a magnetic field according to Ampère's circuital law. The greater the current I , the greater the energy stored in the magnetic field and the lower the inductance which is defined L = Φ B / I {\textstyle L=\Phi _{B}/I} where Φ B {\textstyle \Phi _{B}} is the magnetic flux produced by the coil of wire.
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 ...
It is valid in the magnetostatic approximation and consistent with both Ampère's circuital law and Gauss's law for magnetism. [2] When magnetostatics does not apply, the Biot–Savart law should be replaced by Jefimenko's equations. The law is named after Jean-Baptiste Biot and Félix Savart, who discovered this relationship in 1820.
Rather than "magnetic charges", the basic entity for magnetism is the magnetic dipole. (If monopoles were ever found, the law would have to be modified, as elaborated below.) Gauss's law for magnetism can be written in two forms, a differential form and an integral form. These forms are equivalent due to the divergence theorem.
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.