Difference between revisions of "Ampere's law"

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where <math>\vec{J}</math> is current density.
where <math>\vec{J}</math> is current density.
==See also==
*[[Gauss's Law]]

Latest revision as of 17:27, 24 May 2017

Ampere's Law, named for Andre-Marie Ampere, relates electric current to magnetic fields, and is one of Maxwell's Equations. It is often used in the calculation of the magnetic field at a point due to one or many current-carrying wires. It is the magnetic analogue to Gauss's Law, and can be stated in integral form as

where is magnetic field, C is a closed curve, is current enclosed by C, and is the permeability of free space.

In differential form, Ampere's Law is written

where is current density.

See also