Ampere's Law
#Physics
Topics
$\displaystyle \oint\vec{B}\cdot \mathrm{d}\vec{l}={\mu}_{0}\int \vec{J}\cdot , \mathrm{d}\vec{A}$
- Integral form
- Can be derived from differential form using Stoke's Theorem
$\displaystyle \nabla \times \vec{B}={\mu}{0}\left( \vec{J}+{\varepsilon}{0}\frac{ \partial \vec{E} }{ \partial t } \right)$
- $\displaystyle \vec{B}$ is the magnetic field
- $\displaystyle {\mu}_{0}$ is the magnetic constant
- $\displaystyle {\varepsilon}_{0} \frac{\partial \vec{E} }{\partial t}$ is called the Displacement Current
$\displaystyle \nabla \times \vec{B}={\mu}_{0}\vec{J}$
- In the static case