Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Question
Chapter 13, Problem 13.11P
To determine
The parallel plate waveguide modes that it propagates.
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A K band rectangular waveguide has dimensions of a = 1.052 cm and b = 0.432 cm. Calculate the cutoff frequency for TE11 mode if the guide is filled with Teflon whose permittivity is = 2.3
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.
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 0,1
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 parallel-plate waveguide has plate separation d = 1 cm and is filled with Teflon having dielectric constant εr = 2.1. Determine the maximum operating frequency such that only the TEM mode will propagate. Also find the range of frequencies over which the TE1 and TM1 (m = 1) modes, and no higher-order modes, will propagate.arrow_forwardA parallel-plate waveguide has plate separation d = 1 cm and is filled with Teflon having dielectric constant 2.1. Find the range of frequencies over which the TE1 and TM1 modes, and no higher-order modes, will propagate.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_forward
- 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_forwardThe reflection takes place at a height of 350 km and the maximum density of the ionosphere corresponds to a refractive index of 0.75 at 10 MHz. What will be the range for which the MUF is 12 MHz?arrow_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
- In a rectangular hollow waveguide with side lengths ratio b / a = 1/3, only TE modes will be excited. a. Write the first 5 cutoff frequencies in order of magnitude and indicate the corresponding modes. b. Long edge 6 cm. In what range should the operating frequency be selected to emit only the first mode when receivedarrow_forwardA diffused surface has a wavelength properties as: λ < 2 μm, ελ =0.9 and λ > 2, ελ =0.1. Find the total hemispherical absoptivity of the surface.arrow_forwardWhat are reflection and transmission coefficients? Derive the formula for the same. When an EM wave travels from a dielectric (medium-1) to the conductor,then what will be the value of these parameters?arrow_forward
- if in a rectangular waveguide for which a=2b , the cuttoff frequency for TE02 mode is 12 GHz ,the cutoff frequency for TM11 mode isarrow_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_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
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