(a) Derive an expression for average power density starting from Maxwell's equations and explain the physical significance of average power density.
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Step 1: The average power density is the average rate at which energy is transported per unit area. Show more…
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7. (a) Define a uniform plane wave. Distinguish it with transverse wave. Find that a uniform plane wave propagating in the x-direction has no x-component in the field. (b) State and prove Poynting theorem. Also calculate the average power density. 8. (a) Write and explain differential and integral forms of Maxwell equations. Are all four Maxwell equations independent? Explain. (b) State and explain Ampere's Law both in integral and differential form as used in magnetic field.
Adi S.
For the electromagnetic wave represented by Eq. $(32.19)$ show that the Poynting vector $(a)$ is in the same direction as the propagation of the wave and $(b)$ has average magnitude given by Eqs. $(32.29) .$
2.(a) Write the integral expression of Poynting theorem . Give physical meaning of the term involving Poynting vector in the expression. (b) Calculate the amplitudes of the electric (E) and the magnetic (B) fields in a microwave beam of intensity 100 Watts / m² travelling in free space. (c) Derive wave equations involving electric and magnetic field vectors using differential form of Maxwell’s equations in region of space where there is no charge or current and hence find the speed of the electromagnetic wave .
Ameer S.
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