Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 13, Problem 13.16P
To determine
The group velocity of the
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If 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 above
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.
P 2.7a
What will be the cutoff wavelength for dominant mode in rectangular
waveguide whose length is 10 cm?
(2)
Chapter 13 Solutions
Engineering Electromagnetics
Ch. 13 - The conductors of a coaxial transmission line are...Ch. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Find R, L, C, and G for a two-wire transmission...Ch. 13 - Prob. 13.5PCh. 13 - Consider an air-filled coaxial transmission line...Ch. 13 - Pertinent dimensions for the transmission line...Ch. 13 - A transmission line constructed from perfect...Ch. 13 - Prob. 13.9PCh. 13 - Two microstrip lines are fabricated end-to-end on...
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - For the guide of Problem 13.14, and at the 32 GHz...Ch. 13 - Prob. 13.16PCh. 13 - A parallel-plate guide is partially filled with...Ch. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Two rectangular waveguides are joined end-to-end....Ch. 13 - Prob. 13.21PCh. 13 - Consider the TE11 mode in a rectangular guide...Ch. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.28PCh. 13 - An asymmetric slab waveguide is shown in Figure...Ch. 13 - A step index optical fiber is known to be single...Ch. 13 - Prob. 13.31PCh. 13 - Prob. 13.32P
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- A 2.28-cm by 1.01-cm waveguide is filled with a dielectric material with er = 2.25. The waveguideoperate at 15GHZ. For TE11 and TE02 mode which mode will propagete.arrow_forwardDetermine the cutoff wavelength for a step index fiber to exhibit single-mode opera- tion when the core refractive index and radius are 1.46 and 4.5 um, respectively.arrow_forward4. A particular planar waveguide comprises a guiding layer of refractive index equal to 1.454 bound top and bottom by material of refractive index 1.450. a) What is the maximum thickness of this waveguide for single-mode operation at a wavelength of 1550 nm. b) If the thickness of the above waveguide is reduced to 70% of the maximum for single mode operation at 1550 nm, what is the new cut-off wavelength for single-mode operation? ANS: a) 7.19 μm and b) 1.08 µm.arrow_forward
- A parallel plate waveguide has plate separation of 1.5cm and filled with a perfect dielectric of dielectric constant 6. Find the cutoff frequency dominant TM mode.arrow_forward14. An air - filled rectangular waveguide of internal dimension a cm x b cm (a > b) has a cut off frequency of 6 GHz for the dominant TE10 mode. For the same waveguide, if the cutoff frequency of the TM₁1 mode is 15 GHz, the frequency of the TE01 mode GHz isarrow_forwardA TE10 wave at 10 GHz propagates in a rectangular waveguide with inner dimensions a=1.5 cm and b=0.6 cm. The waveguide is filed with polyethylene (relative permittivity of 2.25). Determine the guide wavelength in cm up to one decimal.arrow_forward
- Since 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_forwardA rectangular waveguide with a horizontal length a = 2 cm and a vertical length b = 1.5 cm is filled with a material with a relative dielectric value of 4. What would be the cutoff frequency for the dominant mode? 3.75 GHz 4 GHz 5 GHz 6.56 GHzarrow_forward4. Assume that a hollow cylindrical waveguide with a conducting boundary supports both TE and TM modes in the waveguide. The waveguide has a constant radius of a. Which mode is the dominant propagation mode in the waveguide? Give enough explanations to justify your answer.arrow_forward
- Discuss what waveguides are? What is the fundamental difference between propagation in waveguides and propagation in transmission lines or free space? Formulate and calculate the cutoff frequencies in it for the following modes: TE 1,1 TM 0,1 TE 0,1arrow_forwardAn air- filled rectangular waveguide has dimensions of a 6 cm and b-4 cm. the signal frequency is 3 GHz. Compute the following for TE10, TE01, TE11 and TM₁1 modes. a- cutoff frequency. b- wavelength in the waveguide. c-phase constant and phase velocity in the waveguide.arrow_forward2. 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_forward
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