Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 2.6, Problem 6E
A lossless transmission line uses a dielectric insulating material with
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Chapter 2 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 2.2 - What is a transmission line? When should...Ch. 2.2 - Prob. 2CQCh. 2.2 - What constitutes a TEM transmission line?Ch. 2.2 - Prob. 4CQCh. 2.2 - Prob. 1ECh. 2.2 - Calculate the transmission line parameters at 1...Ch. 2.4 - Verify that Eq. (2.26a) indeed provides a solution...Ch. 2.4 - A two-wire air line has the following line...Ch. 2.6 - The attenuation constant represents ohmic losses....Ch. 2.6 - How is the wavelength of the wave traveling on...
Ch. 2.6 - Prob. 7CQCh. 2.6 - What is a standing-wave pattern? Why is its period...Ch. 2.6 - Prob. 9CQCh. 2.6 - For a lossless transmission line, = 20.7 cm at 1...Ch. 2.6 - A lossless transmission line uses a dielectric...Ch. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 10ECh. 2.6 - A 140 lossless line is terminated in a load...Ch. 2.8 - What is the difference between the characteristic...Ch. 2.8 - What is a quarter-wave transformer? How can it be...Ch. 2.8 - Prob. 12CQCh. 2.8 - Prob. 13CQCh. 2.8 - if the input impedance of a lossless line is...Ch. 2.8 - Prob. 12ECh. 2.8 - A 300 feedline is to be connected to a 3 m long,...Ch. 2.9 - According to Eq. (2.102b), the instantaneous value...Ch. 2.9 - Prob. 16CQCh. 2.9 - What fraction of the incident power is delivered...Ch. 2.9 - Prob. 18CQCh. 2.9 - For a 50 lossless transmission line terminated in...Ch. 2.9 - For the line of Exercise 2-14, what is the...Ch. 2.10 - The outer perimeter of the Smith chart represents...Ch. 2.10 - What is an SWR circle? What quantities are...Ch. 2.10 - What line length corresponds to one complete...Ch. 2.10 - Which points on the SWR circle correspond to...Ch. 2.10 - Prob. 23CQCh. 2.10 - Use the Smith chart to find the values of ...Ch. 2.11 - Prob. 24CQCh. 2.11 - Prob. 25CQCh. 2.12 - What is transient analysis used for?Ch. 2.12 - Prob. 28CQCh. 2.12 - What is the difference between the bounce diagram...Ch. 2 - A transmission line of length l connects a load to...Ch. 2 - Show that the transmission-line model shown in...Ch. 2 - A 1 GHz parallel-plate transmission line consists...Ch. 2 - For the parallel-plate transmission line of...Ch. 2 - In addition to not dissipating power, a lossless...Ch. 2 - For a distortionless line [see Problem 2.13] with...Ch. 2 - Prob. 15PCh. 2 - A transmission line operating at 125 MHz has Z0 =...Ch. 2 - Prob. 17PCh. 2 - Polyethylene with r=2.25 is used as the insulating...Ch. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - A 50 lossless line terminated in a purely...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Two half-wave dipole antennas, each with an...Ch. 2 - Prob. 34PCh. 2 - For the lossless transmission line circuit shown...Ch. 2 - A lossless transmission line is terminated in a...Ch. 2 - The input impedance of a 31 cm long lossless...Ch. 2 - FM broadcast station uses a 300 transmission line...Ch. 2 - A generator with Vg=300 V and Zg = 50 is...Ch. 2 - If the two-antenna configuration shown in Fig....Ch. 2 - For the circuit shown in Fig. P2.44, calculate the...Ch. 2 - The circuit shown in Fig. P2.45 consists of a 100 ...Ch. 2 - An antenna with a load impedance ZL=(75+j25) is...Ch. 2 - Prob. 47PCh. 2 - Use the Smith chart to determine the input...Ch. 2 - Prob. 52PCh. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - Use the Smith chart to find yL if zL = 1.5 j0.7.Ch. 2 - Prob. 59PCh. 2 - Prob. 62PCh. 2 - Determine Zin of the feed line shown in Fig....Ch. 2 - Prob. 73PCh. 2 - A 25 antenna is connected to a 75 lossless...Ch. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - In response to a step voltage, the voltage...Ch. 2 - Suppose the voltage waveform shown in Fig. P2.77...Ch. 2 - For the circuit of Problem 2.80, generate a bounce...Ch. 2 - In response to a step voltage, the voltage...
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- A very low-loss microstrip transmission line has the following per unit length parameters: R = 2 Ω/m, L = 80 nH/m, C = 200 pF/m, and G = 1 µS/m. (a) What is the characteristic impedance of the line if loss is ignored? (b) What is the attenuation constant due to conductor loss? (c) What is the attenuation constant due to dielectric loss?arrow_forwardA lossless parallel-plate transmission line having a characteristic impedance 50 is terminated with an impedance (40+30) Q at an operating frequency of 200 MHz. The dielectric constant of the insulator is 2.25 and its thickness is 0.4 mm. Find (a) the width w of the metal plates, and (b) the reflection coefficient at the load.arrow_forward1. What is the necessary condition for matching transmission lines? In addition, what is a micro strip line? 2. For a distortion less line α = 0.02dB/m, Z0 (R0) = 60Ω and C = 0.2nF/m. Find the resistance and velocity of wave propagation. [Do not forget the units.] 3. For a finite lossless transmission line with open-circuit termination, sketch Xio vs l. Indicate where the sketch is inductive and capacitive.arrow_forward
- A short-circuited transmission line section is exactly one-quarter wavelengthat a frequency of 1250 MHz. Calculate the inductave reactance , and (b) the eq uiva le nt inductance, at a frequency of 500 MHz. The character st ~ impedance of the line is 50ohmarrow_forwardA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.4 F/m, and 7.5 H inductance per meter. The diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 4.97. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?arrow_forwardA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.4F/m, and 7.5 H inductance per meter. The diameter of the inner conductor as 0.8m,and the dielectric constant of the insulation as 4.97. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?arrow_forward
- For a lossy medium (or=1.7 S/m, ur=1 and Er=20), a) Calculate the frequency at which the transmission current density and displacement current density magnitudes are equal for the time harmonic field, and b) Calculate the self-impedance at this frequency.arrow_forwardThe capacitance per unit length and the characteristic impedance of a lossless transmission line is C and Zo, respectively. Find the velocity of a travelling wave on the transmission line.arrow_forward. A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation 50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is providedarrow_forward
- A 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.arrow_forward.A 3-phase, 220 k 50Hz transmission line consists of 1.5 cm radius conductor spaced 2 metres apart in equilateral triangular formation. If the temperature is 40°C and atmospheric pressure is 76 cm, calculate the corona loss per km of the line. Take m = 0.85arrow_forwardQI/ A lossless coaxial cable of 170 mm long has the parameters L — 245 nWm andC — 200 pF/m. The operating frequency is f —I GHz and the line is terminated by ZL —100 Q, determine:A) The characteristic impedance.B) The input impedance at the input terminals of the line.C) The standing wave ratio on the line.arrow_forward
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How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License