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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rectagular waveguide having an inner dimension of (4.0 × 2.0) cm is used for porpagating a microwave signal at mode TE11. If frequency given is 12 GHz, calculate the cut-off frequency and guide wavelength.
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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
- calculate the ratio of the cross section of a circular waveguide to that of the rectangular waveguide if each is to have the same cut off wavelength for its dominant mode. Note that for standard rectangular waveguide b=a/2arrow_forwardIn an air-filled rectangular waveguide, the cutofffrequency of a TE10 mode is 5 GHz, whereas that ofTE01 mode is 12 GHz. Calculate(a) The dimensions of the guide.(b) The cutoff frequencies of the next threehigher TE modes.(c) The cutoff frequency for TE11 mode if theguide is filled with a lossless material havingr = 2.25 and r = 1.arrow_forwardif in a rectangular waveguide for which a=2b , the cuttoff frequency for TE02 mode is 12 GHz ,the cutoff frequency for TM11 mode isarrow_forward
- A 5.0 × 2.0 mm2air-filled rectangular waveguide is to operate below85 GHz. Determine the number of TE and TM modes that can be transmitted in the waveguide. Subsequently, sketch the cross-sectional view of field line distributions for TE10, TE11, and TM11 modes.arrow_forwardA hollow rectangular waveguide with cut-off frequency of 2.66 GHz is used at 3.7 GHz. Calculate the guide wavelength, phase velocity and the guide propagation velocity.arrow_forwardSince the dielectric constant of the material filling the rectangular waveguide with a ratio of a > 2b between its dimensions is 9; For the dominant mode to propagate at 5 GHz, the wide dimension of the grid must be ......cm<a<......cm?arrow_forward
- What is the fourth mode that can propagate in a hollow and square waveguide?arrow_forwardCalculate the TE10 cutoff frequency for a rectangular waveguide if the longer dimension of its cross section is 5 cmarrow_forwardA waveguide suitable for propagation of the TE10 mode at 3 GHz has cross-sectional dimensions of 2.5 cm x 1 cm and is filled with a dielectric constant of unknown relative dielectric constant. For only the dominant mode to be transmitted, the relative dielectric constant must be ........<εr<.....?arrow_forward
- Specify the boundary conditions on the E-field for TE modes in the rectangular waveguide from the figure. Ex=0 at y=0, b; Ey=0 at x=0, a.arrow_forwardWhy does TEM mode cannot propagate in rectangular waveguides?arrow_forwardThe dimensions of a rectangular metallic waveguide are 1.58x0.79 cm. Assuming that the inside of the waveguide is air;a) Find the cutoff frequencies for TE10, TE20, TE01 and TE11 modes.b) What modes can propagate in this waveguide in the frequency range 12 GHz to 18 GHz?c) If this waveguide is used to transmit a 10 GHz frequency signal in TE10 mode, what will be the phase speed of the signal?arrow_forward
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