26. (a) A plane wave at 24 MHz, traveling through a lossy material, has a phase shift of 1 (rad/m), and its amplitude is reduced 50 percent for every meter traveled. Find a, ß, A, the phase velocity v₂, and the skin depth. (b) A uniform plane wave is propagating in lossless (nonconductive) dielectric medium along the positive z direction. The phasor form of the x directed electric field is given by É(z) = (40m eea, The measured time-average power density associated with this wave is 377 W/m². (i) If μ = , in the medium of propagation, determine the relative dielectric constant of this medium. (ii) Determine the frequency of the wave. (iii) Write a time-domain expression of the vector magnetic field intensity H(2,1) associated with this wave.

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26. (a) A plane wave at 24 MHz, traveling through a lossy material, has a phase shift of 1
(rad/m), and its amplitude is reduced 50 percent for every meter traveled. Find a, ß,
A, the phase velocity vp, and the skin depth.
(b) A uniform plane wave is propagating in lossless (nonconductive) dielectric medium
along the positive z direction. The phasor form of the x directed electric field is given
by
É(z) = (40m e)e-a,
The measured time-average power density associated with this wave is 377 W/m².
(i) If μμ, in the medium of propagation, determine the relative dielectric constant
of this medium.
(ii) Determine the frequency of the wave.
(iii) Write a time-domain expression of the vector magnetic field intensity H(z,t)
associated with this wave.
Transcribed Image Text:26. (a) A plane wave at 24 MHz, traveling through a lossy material, has a phase shift of 1 (rad/m), and its amplitude is reduced 50 percent for every meter traveled. Find a, ß, A, the phase velocity vp, and the skin depth. (b) A uniform plane wave is propagating in lossless (nonconductive) dielectric medium along the positive z direction. The phasor form of the x directed electric field is given by É(z) = (40m e)e-a, The measured time-average power density associated with this wave is 377 W/m². (i) If μμ, in the medium of propagation, determine the relative dielectric constant of this medium. (ii) Determine the frequency of the wave. (iii) Write a time-domain expression of the vector magnetic field intensity H(z,t) associated with this wave.
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