Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 9, Problem 9.9P
To determine
The reflection coefficient at
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Q2. A circular copper waveguide has a radius of 0.6 cm and is filled with a Teflon having
& 2.25 and tan 8-0.0002. Identify the first four propagating modes and their cutoff
frequencies. For the dominant mode, calculate the total attenuation at 12 GHz.
(V.3) A common commercial size of rectangular hollow-conductor waveguide has (inner)
dimensions a = 2.286 cm by b = 1.016 cm.
(a) What is the single-mode bandwidth of this size waveguide
frequency range (in gigahertz) within which the TE10 mode propagates but the next higher
mode does not? [Most practical waveguide systems are operated under this single-mode
condition.]
that is, what is the
(b) The maximum field strength that air can support without breakdown is about 50,000
V/cm (at standard atmospheric pressure). What is the maximum power that can be trans-
mitted by this size waveguide at frequencies within the single-mode band?
For Microwave Engineering Course
Q: Find the cut-off wavelength in a standard rectangular waveguide for TE31 mode having a dimension ratio of 2:1 (given broader dimension of waveguide is 2.286 cm).
Chapter 9 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 9 - Given a 2.0-cm length of AWG20 copper wire, (a)...Ch. 9 - Recalculate L, Cx, and fSRF if the AWG3O wire for...Ch. 9 - Estimate L and the SRF if a 99.8% iron core is...Ch. 9 - Prob. 9.5PCh. 9 - Prob. 9.6PCh. 9 - Prob. 9.7PCh. 9 - If the 2.2-nF capacitor of Example 9.3 has an area...Ch. 9 - Prob. 9.9PCh. 9 - What is the spectral bandwidth for a 4.0-ns rise...Ch. 9 - Prob. 9.11P
Ch. 9 - Prob. 9.13PCh. 9 - Repeat Example 9.5 using AWG22 wire and 200-MHz...Ch. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Shielding low-frequency magnetic fields often...Ch. 9 - Prob. 9.21PCh. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - Prob. 9.24PCh. 9 - Determine the insertion loss at 40 MHz for a...
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- 3) Solve the cutoff frequency for the first mode and third mode of WR137 waveguide. TABLE 7.1 Some Standard Rectangular Waveguides Waveguide designation a (in) b (in) t (in) Seo (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 12.4-18arrow_forwardA standard air-filled rectangular waveguide has dimensions such that a = 2b. If the cut-off frequency for TE02 mode is 12 GHz, then find the phase constant for TE10 mode at 6 GHz inside the waveguide. Benewer here.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_forward
- IQ5](A) A rectangular air-filled copper waveguide, shown in the Figure, with dimension 2x1 cm is operated at 9 GHz with TE dominant mode. Determine the following: 1- The propagation constant. 2- The cut off frequency 3- The cut off wave length. The waveguide wave length. The waveguide phase velocity 6- The Wave impedance b: 10 aarrow_forwardA coaxial cable has an inner conductor diameter of 0.04" and an outer diameter of 0.2 inches. The center conductor is copper, and the dielectric material is polyethylene with relative permittivity of 2.24 and a loss tangent of 0.0006 at 2GHZ. a. What is the wave propagation velocity in this coax? b. What is the value of the attenuation constant due to copper at 2 GHz? c. What is the value of the attenuation constant due to dielectric losses at 2GHZ? d. If we want to have at least 50% of the input power delivered to a match load, what would be the maximum cable length if the voltage at the input to the cable is 10 V at 2 GHz?arrow_forwardA rectangular waveguide has a dimension of (3X2) cm is used to transmit a signal of 9 GHz. Determine cutoff wavelength for dominant mode.arrow_forward
- 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_forwardAn air-filled rectangular waveguide is to be constructed for single-mode operation at 15GHz. Specify the guide dimensions a and b, such that the design frequency is 10 percent higher than the cutoff frequency for the TE10 mode, while being 10 percent lower than the cutoff frequency for the next-higher-order mode. Uarrow_forwardAn air filled rectangular waveguide with dimension a = 8.636 cm b=4.318 cm is fed by a 4 GHz carrier from a coaxial cable. Find phase and group velocity for TM11 mode.arrow_forward
- Consider a wireless communication system that operates in 900MHZ. Transmitter and receiver are with antenna gain of 1. The transmit power is 0.05W. Relative permittivity of the ground is 5.5. The height of the transmitter and the height of the receiver are set to 5m and 1m, respectively. Use the 2-ray ground reflection propagation model to answer the following questions. a. Specify the RSSI at 30m. b. Specify the RSSI at 35m. c. If the receiver sensitivity is -100dBm, determine the distance where the signal cannot be received. d. Change the transmit power to 1W. Specify the RSSI at 30m. e. Compare your aņswer for a and d. Which one provides higher RRSI? Explain your answer. f. Compare your answer for a and b. Which one provides higher RRSI? Explain your answer.arrow_forwardFor 860 MHz carrier frequency and for the geometry and graph shown in figures Q3A and Q3B, determine: A) the loss due to knife-edge diffraction, andarrow_forwardP 2.7a What will be the cutoff wavelength for dominant mode in rectangular waveguide whose length is 10 cm? (2)arrow_forward
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