Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 12, Problem 12.25P
To determine
The fraction of the incident power transmitted through the prism and insertion loss in dB.
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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
12.4-18
6. Explain why in a parallel-plate metal waveguide the loss is lower for a TE mode
highly above the cutoff, when compared with the case for a TM mode.
q
Chapter 12 Solutions
Engineering Electromagnetics
Ch. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - A uniform plane wave m region 1 is normally...Ch. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - In the beam-steering prism of Example 12.8,...Ch. 12 - The semi-infinite regions z 0 and z 1m are free...Ch. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10P
Ch. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17PCh. 12 - Prob. 12.18PCh. 12 - You are given Four slabs of lossless dielectric,...Ch. 12 - Prob. 12.20PCh. 12 - Prob. 12.21PCh. 12 - Prob. 12.22PCh. 12 - Prob. 12.23PCh. 12 - Prob. 12.24PCh. 12 - Prob. 12.25PCh. 12 - Show how a single block of glass can be used to...Ch. 12 - Prob. 12.27PCh. 12 - Over a small wavelength range, the refractive...Ch. 12 - Prob. 12.29PCh. 12 - Prob. 12.30P
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- 14. 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 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_forward12.6 If in a rectangular waveguide for which a = 2b, the cutoff frequency for TE92 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 abovearrow_forward
- The Subject is Electromagnetic II .arrow_forward10. A piece of quarter wavelength transmission line is inserted between a load of 100ohm and another transmission line of Zo=50. Then, the characteristic impedance and length of the quarter wavelength transmission line at 1GHz are 70.71 ohm and 300mm 70.71 ohm and 50mm 70.71 ohm and 75mm None of them 50ohm and 75mmarrow_forwardSolve the cutoff frequency for the first mode and third mode of WR430 waveguide.arrow_forward
- a rectangular air-filled copper waveguide with dimension 2.28 cm x 1.01 cm across section and 30.48 cm length is operated at 9.2 GHz with a dominant mode. Find a) cut off frequency b)guide wavelength c)phase velocity d) characteries impedance e) attenuattion in dBarrow_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_forwardThe cutoff frequency for TE11 mode if theguide is filled with a lossless material havingr = 2.25 and r = 1.arrow_forward
- Estimate the grating period of a second-order DBR for a guided wave at 1.55 µm in a symmetric slab semiconductor waveguide where n = = 3.5 and n2 = 3.45.arrow_forwardProblem 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_forwardQ/ The wave impedance of the TE10 mode of an air-filled rectangular waveguide at a frequency of 15 GHz is given to be 480 2. a- Calculate the cutoff frequency for the TE10 mode of this waveguide b- Calculate the 'a' dimension for the waveguide c- Calculate the cutoff frequency for the TE11 mode for this waveguide assuming b-0.4a d- Calculate the wave impedance at the frequency of 15 GHz for the TE10 mode if the above waveguide is filled with a dielectric with &,-2.5arrow_forward
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