Using the following expression derive expressions for the

Question

Question 1: Using the following expression, derive expressions for the electric and magnetic field intensities in terms of components of A^→, that are TEM to the z-direction (TEMz):

E^→ = - jωA^→-j .1/(ωμε).∇(∇.A^→)

Question 2: Determine the energy stored per unit length in the internal magnetic field of an infinitely long, straight wire of radius ‘a', carrying uniform current I.

Question 3: Show that under static conditions, following equation reduces to Ampere's circuital law:

∇²A^→ = -μJ^→+ με.(∂² A^→)/(∂t²)

Question 4. Show that the following equation becomes Faraday's law when we take the curl:

E^→ = -∇V - (∂A^→)/∂t