Maxwell's Equations
#Physics
Topics
- Magnetic Charge
4 Laws
Static Limit
$$
\begin{cases}
\nabla\times\vec{E}=0\\nabla\times\vec{B}={\mu}{0}\vec{J}\\nabla\cdot\vec{E}=\frac{\rho}{{\varepsilon}{0}}\\nabla\cdot\vec{B}=0
\end{cases}
$$
- When electromagnetic forces are static/unchanging
In Materials
$$
\begin{cases}\nabla\times\vec{E}=-\frac{\partial\vec{B}}{\partial t}\\nabla\times\vec{H}=\vec{J_f}+\frac{\partial\vec{D}}{\partial t}\\nabla\cdot\vec{D}=\rho_v\\nabla\cdot\vec{B}=0\end{cases}\quad ,\begin{cases}\vec{D}=\epsilon\vec{E}\\vec{B}=\mu\vec{H}\\vec{J_f}=\sigma\vec{E}\end{cases}
$$