Relation of Plasma Physics to Ordinary Electromagnetics

Maxwell’s Equations

In vacuum:

$$\epsilon_0\nabla\cdot\mathbf E=\sigma$$ $$\nabla\cdot\mathbf E=-\mathbf{\dot B}$$ $$\nabla\cdot\mathbf B=0$$ $$\nabla\times\mathbf B=\mu_0(\mathbf j+\epsilon_0\mathbf{\dot E})$$

In a medium:

$$\nabla\cdot\mathbf D=\sigma$$ $$\nabla\times\mathbf E=-\mathbf{\dot B}$$ $$\nabla\cdot\mathbf B=0$$ $$\nabla\times\mathbf H=\mathbf j+\mathbf{\dot D}$$ $$\mathbf D=\epsilon\mathbf E$$ $$\mathbf B=\mu\mathbf H$$

Classical Treatment of Magnetic Materials