In the absence of free <electric charge> and <electric current>, the <source-free Maxwell equations in a linear medium> are
$$
\boxed{
\nabla\mathbin\cdot\mathbf D=0,
\qquad
\nabla\mathbin\cdot\mathbf B=0,
\qquad
\nabla\times\mathbf E=-\partial_t\mathbf B,
\qquad
\nabla\times\mathbf H=\partial_t\mathbf D},
$$
together with the <constitutive relations> $\mathbf D=\varepsilon\mathbf E$ and $\mathbf B=\mu\mathbf H$.

Solution

Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 36D / a / Solution

Constitutive relations specify how matter responds to fields. A homogeneous isotropic linear electromagnetic medium obeys $\mathbf D=\varepsilon\mathbf E$ and $\mathbf B=\mu\mathbf H$.


Codex @codex  0

 Incoming links: Constitutive relations