1 A State Maxwell S Equation For The Curl Of The Magnetic And The Electric Field In Free Space State The Meaning Of 1 (45.11 KiB) Viewed 119 times
1 A State Maxwell S Equation For The Curl Of The Magnetic And The Electric Field In Free Space State The Meaning Of 2 (45.11 KiB) Viewed 119 times
1) (a) State Maxwell's equation for the curl of the magnetic and the electric field in free space. State the meaning of all the terms in the equations and identify the displacement current density. Using Maxwell's equations, derive the wave equations for B. s marks Show that the wave equations admit plane waves for the electric and magnetic fields in free space of the form E = Ege(kz-wt), B = Bei(kz-wt) where Eo and Bo are constant vectors with real components if k²= w²H₂²o. Show that E and B are transverse waves propagating with speed c = 3 × 108 ms¹. (b) 4marks 5 marks 5 marks The electromagnetic field propagating in metallic rectangular hollow waveguide of dimensions a and b in the +z direction has an electric field of the form: E(x, y, z, t) = [Eox (x, y) + 9Ēoy (x,y)]elkzz-wt) Explain what all the terms in above equation represent. What type of electric field is this field? 6 marks. Determine the cut-off frequencies of the three lowest-order modes for a = 0.1 m and b=0.05 m. 3 marts If the angular frequency of the modes is 477 GHz, determine which modes will propagate. 2 m Comment on the degeneracy of any of the modes. I mark
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