a) Prove the relations: i) $\nabla\times\vec{E} = -\frac{\partial\vec…

Question

a) Prove the relations:

i) $\nabla\times\vec{E} = -\frac{\partial\vec{B}}{\partial t}$

ii) $\nabla\times\vec{B} = \mu_0\vec{J} + \mu_0\epsilon_0\frac{\partial\vec{E}}{\partial t}$ and discuss their physical significance. (10)

b) Discuss phase and group velocities. Show that group velocity of the waves associated with a particles is equivalent to the velocity of the particle (10)

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