EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Question
Chapter 8.8, Problem 10E
To determine
The value of the ratio
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What are em and he modes? How do they differ from te and tem modes? What is a single mode waveguide and why is it 0th order mode?
3) 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
12.4–18
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
Chapter 8 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
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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- Problem 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_forwardTransmision linesarrow_forwardWhat is field pattern in a. Rectangular waveguide?b. TE mode in rectangular waveguide?c. TM mode in rectangular waveguide?arrow_forward
- A standard waveguide WR187, has the following dimensions: outside walls 2.000 x 1.000 in., wall thickness 0.064 in. Determine the highest frequency that can be transmitted if only the TE10 mode is permitted. What modes can exist in it if it is excited by a wave of frequency 6.00 GHz?arrow_forwardThe TM11 mode propagates in a hollow circular waveguide with a radius of 1 cm. If the inside of the waveguide is filled with a material with a dielectric constant of εr=4, what radius must be in mm so that the cutoff frequency remains the same?arrow_forwardwhy TEM mode cannot propagate in a hollow metallic waveguide.?arrow_forward
- What is the fourth mode that can propagate in a hollow and square waveguide?arrow_forward#3 answer the question!arrow_forwardExplain the following:a. What is rectangular waveguide field pattern?b. What is the field pattern of TE mode in rectangular waveguide?c. What is the field pattern of TM mode in rectangular waveguide?arrow_forward
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