Energy stored per unit length in the internal magnetic field

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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

Reference no: EM131572648

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