Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Question
Chapter 8.10, Problem 14E
(a)
To determine
The value of phase velocity
(b)
To determine
The value of group velocity
(c)
To determine
The value of zigzag angle
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Check out a sample textbook solutionStudents have asked these similar questions
a) Define Guide wavelength with the formula?
b) A rectangular waveguide working in dominant electric mode has an operating frequency
of 10 GHz and the highest cut-off wavelength the waveguide can allow is 4.58 cm. What is
the broader dimension of the waveguide.
For dominant mode propagation in TE mode, if the rectangular waveguide has a broader dimension of 31.14 mm , then the cut-off wave number:
a) 100
b) 500
c) 50
d) 1000
Why does TEM mode cannot propagate in rectangular waveguides?
Chapter 8 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 8.1 - Prob. 1CQCh. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ
Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9ECh. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13ECh. 8.10 - Prob. 14ECh. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5PCh. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28PCh. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39PCh. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47P
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Similar questions
- 3) Solve the cutoff frequency for the first mode and third mode of WR137 waveguide. TABLE 7.1 Some Standard Rectangular Waveguides Waveguide designation a (in) b (in) t (in) Seo (GHz) Frequency range (GHz) WR975 9.750 4.875 0.125 0.605 0.75-1.12 WR650 6.500 3.250 0.080 0.908 1.12-1.70 WR430 4.300 2.150 0.080 1.375 1.70-2.60 WR284 2.840 1.340 0.080 2.08 2.60-3.95 WR187 1.872 0.872 0.064 3.16 3.95-5.85 WR137 1.372 0.622 0.064 4.29 5.85-8.20 WR90 0.900 0.450 0.050 6.56 8.2-12.4 WR62 0.622 0.311 0.040 9.49 12.4-18arrow_forwardWhat is the fourth mode that can propagate in a hollow and square waveguide?arrow_forwardP 2.7a What will be the cutoff wavelength for dominant mode in rectangular waveguide whose length is 10 cm? (2)arrow_forward
- A rectangular waveguide measures 1.016 x 2.286 cm internally with a signal propagated in it. Complete the table below showing all mathematical expressions used in arriving at the answer. Mode Cut-off Wavelength in cm Cut-off frequency in Ghz 1 TE10 2 TE20 3 TE01 4 TE11 5 TM11 Explain the reasons for the cut-off wavelength and its importance to waveguide propagation.arrow_forward3) Solve the cutoff frequency for the first mode and second mode of WR975 Wave guide TABLE 7.1 Some Standard Rectangular Waveguides Waveguide de signation a (in) b (in) t (in) fe, (GHz) Frequency range (GHz) WR975 9.750 4.875 0.125 0.605 0.75-1.12 WR650 6.500 3.250 0.080 0.908 1.12–1.70 WR430 4.300 2.150 0.080 1.375 1.70-2.60 WR284 2.840 1.340 0.080 2.08 2.60-3.95 WR187 1.872 0.872 0.064 3.16 3.95-5.85 WR137 1.372 0.622 0.064 4.29 5.85-8.20 WR90 0.900 0.450 0.050 6.56 8.2–12.4 WR62 0.622 0.311 0.040 9.49 12.4–18arrow_forwardSince b=2a=1 cm in a hollow rectangular waveguide, the operating frequency of the waveguide must be ........ GHz<f<......GHz for only the dominant mode to propagate?arrow_forward
- 2. For a slab dielectric waveguide with n₁, n₂ for the refractive indices of the core and classing, respectively, what is the minimum slab thickness to accommodate two TE modes propagating in it? The mode's vacuum wavelength is 2o.arrow_forwardIf in a rectangular waveguide for which a = 2b, the cutoff frequency for TE2 mode is 12 GHz, the cutoff frequency for TM mode is (a) 3 GHz (b) 3V5 GHz (c) 12 GHz (d) 6V5 GHz (e) None of the abovearrow_forwardProblem 4 to separate ITU channel 59 using a fiber Bragg grating (FBG) and an optical circulator. The FBG is made from a fiber with an effective index of refraction of the core of 1.48 at You are to implement a simple one-channel demultiplexer ITU channel 59. a.) Draw a diagram of the demultiplexer b.) Calculate the periodicity of the index of refraction modulation in the core of the FBG fiberarrow_forward
- What is the cut-off wavelength of the TE03 mode in a rectangular waveguide filled with air and with a small side of 3 cm?arrow_forwardb) An air filled rectangular waveguide with inside dimension 7 cm x 3.5 cm operates in the TE10 and TEu mode. Calculate the cut-off frequency of the guide for both modes.arrow_forward4. Again, from the zigzag-path waveguiding model, explain why the group velocity is always slower than the phase velocity in a waveguide with a cutoff frequency.arrow_forward
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