(a) State Maxwell's equations for an electromagnetic wave in free spa…

Previous year question for Applied Engineering Physics.

Question

(a) State Maxwell's equations for an electromagnetic wave in free space and obtain the wave-equations for it. Prove the relation $\vec{E} = C\vec{B}$. (12)

(b) Prove the relations: (8)

(i) $\nabla \cdot \vec{E} = S/\varepsilon_0$

(ii) $\nabla \cdot \vec{B} = 0$

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