a) Define Poynting vector. Derive an expression for it and explain it…

Previous year question for Applied Engineering Physics.

Question

a) Define Poynting vector. Derive an expression for it and explain its physical significance for electromagnetic wave in free space. Prove the relation $\vec{E} = c\vec{B}$. (12)

b) Evaluate $\nabla.(r^3.\vec{r})$ where $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$. (8)

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