Consider the waveguide of Example 12.1. Calculate the phase constantfor TE10modes at the operating frequency of15 GHz.Example 12.1 is as below not solve 12.1A rectangular waveguide with dimensions a = 2.5 cm, b = 1 cm is to operate below15.1 GHz. How many TE and TM modes can the waveguide transmit if the guide is filledwith a medium characterized by o = 0, e = 4 Eo, H, = 1? Calculate the cutoff frequencies%3DAMPLE 12.1of the modes.

Wave is function of space and time. The mode at which waveguide have lowest frequency is said to be…

Answered: Consider the waveguide of Example 12.1.…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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.
12.6 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 above
12.24 The group velocity of a dielectric-filled rectangular waveguide operating at 12 GHz is c/4. When the frequency becomes 15 GHz, the group velocity is c/3 for the same mode. Determine f, andɛ,.
. In a symmetric slab waveguide, n1 = 1.50, n2 = 1.45, and d = 10Oµm. What is the phase velocity of the m = 1 TE or TM mode at cutoff? ^
For dominant mode propagation in TE mode, if the rectangular waveguide has a broader dimension of 31.14 mm , then the cut-off wave number: a) 100 b) 500 c) 50 d) 1000
Q/ 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 &,-2.5
If in a rectangular waveguide for which a = 2b, the cutoff frequency for TEO2 mode is12 GHz, the cutoff frequency for TMH mode is 3GHZ O 315 GHz 12GHZ 65 GHz
Q2: Explain the reason(s) for the following: ZIT JEON TE 1. Why in TE mode both m and n can't be equal to zero? 2. TEM mode not propagate in the rectangular wave guide? 3. TE10 is the dominate mode in the rectangular wave guide? 4. There is no TE10 and TM₁0 modes in circular waveguide? 5. Quasi TEM modes propagates in the slot line or coplanar waveguide only?
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
4. 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.
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.
A 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 GHz

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