An electromagnetic wave, propagating in a wave guide, is given as follows: E = E, cos (@t + ßx) ax + Eo sin (@t + ßx) (a,)V/m H=H, cos(@t + Bx) (a: ) A/m a. The medium in the waveguide is filled with a lossless material having (&, =4 and µ=1), the frequency is f= 3 GHz, and its phase constant is ß = 37 (rad/m). Determine the mode of wave. b. Find the cutoff frequency, wave impedance, and phase velocity of the wave. c. Calculate the time-averaged power density in the structure. d. Calculate the magnitude of the electric and magnetic field intensities Eo and Ho if the time- averaged power density is uniform in the structure and equals 80 W/m².

An electromagnetic wave, propagating in a wave guide, is given as follows: E = E, cos (@t + ßx) ax + Eo sin (@t + ßx) (a,)V/m H=H, cos(@t + Bx) (a: ) A/m a. The medium in the waveguide is filled with a lossless material having (&, =4 and µ=1), the frequency is f= 3 GHz, and its phase constant is ß = 37 (rad/m). Determine the mode of wave. b. Find the cutoff frequency, wave impedance, and phase velocity of the wave. c. Calculate the time-averaged power density in the structure. d. Calculate the magnitude of the electric and magnetic field intensities Eo and Ho if the time- averaged power density is uniform in the structure and equals 80 W/m².

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 32PQ

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