| \begin{align*}
|
| \nabla \cdot \vec E &= \frac{\rho}{\varepsilon_0} & \text{Gauss's law} \\
|
| \nabla \cdot \vec B &= 0 & \text{Gauss's law for magnetism} \\
|
| \nabla \times \vec E &= -\frac{\partial \vec B}{\partial t} & \text{Faraday's law} \\
|
| \nabla \times \vec B &= \mu_0 \left(\vec J + \varepsilon_0
|
| \frac{\partial \vec E}{\partial t}\right) & \text{Ampère\textendash Maxwell law}
|
| \end{align*}
|