Answer to Question #281919 in Electricity and Magnetism for Nathan

Question

Please write down Faraday’s Law and Ampere-Maxwell’s equation for time-dependent electromagnetic fields in a medium.

Answer 1

Faraday’s Law:

$$\nabla\times\textbf E=-\frac{\partial\textbf B}{\partial t}.$$

Ampere-Maxwell’s equation:

$$\nabla\times\textbf H-(\sigma+i\omega\epsilon)\textbf E=0.$$