Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 13, Problem 13.32P
To determine
The expected mode field radius at
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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/2
In 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.
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.
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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- Since 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_forwardA 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 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
- If the material between the ground plates of a 100 ohm strip line to be used at 12 GHz has a relative dielectric constant of 2.19 and a loss tangent of 0.01, what is the dielectric loss of the strip line in Np/m?arrow_forwardA 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_forwardCalculate the geometric factor for a resistivity test with an aperture of L=500 meters using the dipole-dipole arrangement with a factor n=8 with a value of a=50 marrow_forward
- The cutoff frequency for TE11 mode if theguide is filled with a lossless material havingr = 2.25 and r = 1.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_forwardDiscuss 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_forward
- Explore the concept of waveguides as a specialized form of transmission medium.arrow_forwarda) A parallel plate transmission line has plate separation d=1 cm, and isfilled with teflon having dielectric constant ε’r=2. Determine themaximum operating frequency such that only TEM mode willpropagate. Also find the range of frequencies over which TE1 andTM1 modes will propagate and no higher order modes. b) In the parallel plate waveguide of part -a, the operating wavelength isλ=2mm. How many waveguide modes will propagate?arrow_forwardA screen, having a Screening Effectiveness (S) of 31.62 at 100 MHz, is located 5 m from a 2 cm radius conductor loop that carries a signal current of 7.5 mA at a frequency of 100 MHz. Determine the maximum electric field strength transmittedthrough the screen (Et, µVm-1) resulting from radiated emissions emanating from the conductor loop.arrow_forward
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