[UPSC CSE 2022] Electromagnetic Theory (Q315, 15M)

Write down Maxwell's equations in a non-conducting medium with constant permeability and susceptibility $(\rho = j = 0)$ . Show that $\vec{E}$ and $\vec{B}$ each satisfies the wave equation, and find an expression for the wave velocity. Write down the plane wave solutions for $\vec{E}$ and $\vec{B}$ , and show how $\vec{E}$ and $\vec{B}$ are related.