(a) Derive the equation of continuity $\nabla \cdot \vec{J} + \frac{\…

Previous year question for Applied Engineering Physics.

Question

(a) Derive the equation of continuity $\nabla \cdot \vec{J} + \frac{\partial P}{\partial t} = 0$. How does it lead to the concept of displacement current ? Explain its significance in Maxwell's equations of electromagentism. Show that it has dimensions of conventional current. 12

(b) An electromagnetic wave propagates through a medium having relative permittivity 4 and relative permeability 1. Find the velocity of the wave. 8

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