# Difference between revisions of "Ampere's law"

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− | '''Ampere's Law''' is | + | '''Ampere's Law''', named for [[Andre-Marie Ampere]], relates electric [[current]] to [[magnetic field]]s, 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 |

− | : <math>\ | + | : <math>\oint_C \vec{B} \cdot \mathrm{d}\vec{s} |

= \mu_0 I_{\mathrm{enc}}</math> | = \mu_0 I_{\mathrm{enc}}</math> | ||

+ | where <math>\vec{B}</math> is magnetic field, ''C'' is a closed curve, <math>I_{\mathrm{enc}}</math> is current enclosed by ''C'', and <math>\mu_0</math> is the permeability of free space. | ||

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+ | In differential form, Ampere's Law is written | ||

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+ | :<math> \vec{\nabla}\times\vec{B}=\mu_0\vec{J}</math> | ||

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+ | where <math>\vec{J}</math> is current density. | ||

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+ | [[category:Physics]] | ||

[[category:Electricity]] | [[category:Electricity]] |

## Revision as of 21:14, 23 September 2008

**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.