PX284 - Ox - maxwell's equations in free space

\vec{\nabla} \cdot \vec{E} = \frac{ρ}{ε_{0}}

\vec{\nabla} \cdot \vec{B} = 0

\vec{\nabla} \times \vec{E} = - \frac{\partial \vec{B}}{\partial t}

\vec{\nabla} \times \vec{B} = μ_{0} (\vec{J} + ε_{0} \frac{\partial \vec{E}}{\partial t})

\frac{\partial ρ}{\partial t} + \vec{\nabla} \cdot \vec{J} = 0

- this is the continuity equation

\begin{matrix} \vec{\nabla} \cdot \vec{E} = 0 \\ \vec{\nabla} \cdot \vec{B} = 0 \\ \vec{\nabla} \times \vec{E} = - \frac{\partial \vec{B}}{\partial t} \\ \vec{\nabla} \times \vec{B} = μ_{0} ε_{0} \frac{\partial \vec{E}}{\partial t} \end{matrix}