Maxwell's Equations/Ampère's Law with Maxwell's Addition

Physical Law

 * $\nabla \times \mathbf B = \mu_0 \paren {\mathbf J + \varepsilon_0 \dfrac {\partial \mathbf E} {\partial t} } $

where:
 * $\nabla \times \mathbf B$ denotes the curl of the magnetic flux density $\mathbf B$
 * $\mathbf J$ denotes the electric current
 * $\mu_0$ denotes the vacuum permeability
 * $\varepsilon_0$ denotes the vacuum permittivity
 * $\dfrac {\partial \mathbf E} {\partial t}$ denotes the partial derivative of the electric field $\mathbf E$ time.

Also presented as
This equation can also be seen presented as:


 * $\nabla \times \mathbf H = \mathbf J + \dfrac {\partial \mathbf D} {\partial t}$

where:
 * $\mathbf D = \varepsilon_0 \mathbf E$ denotes the electric displacement field
 * $\mathbf H = \dfrac 1 {\mu_0} \mathbf B$ denotes the magnetic field strength