Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Question
Chapter 2, Problem 30P
To determine
Prove the given condition “position where the magnitude of the voltage on the line is a maximum, the input impedance is purely real.”
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A transmission line has a characteristic impedance of 50 ohm and a line resistance of 0.1 ohm/m. If the line is distortionless, what will be the value of the attenuation constant of the line in Np/m?
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6. A 50Ω transmission line uses an insulating material with ǫr = 3. When terminated in anopen circuit, how long the line has to be for its input impedance to be a 30µH inductanceat 200MHz?
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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Similar questions
- What is the input impedance of a 50 Ω short-circuit transmission line of length λ ⁄ 8, in ohms?arrow_forwardThe measurement made on a transmission line is given by the graphic in the figure. If the line length is 8.4 cm and characteristic impedance is 50 ohms; Find the load reflection coefficient, load impedance, reflection coefficient at the line input.arrow_forwardA transmission line of characteristic impedance 40 ohms and length 6.2λ is terminated by an unknown load impedance. The reflection coefficient, Γ, looking into the transmission line at the input is 0.45+j0.55 What is the unknown load impedance?arrow_forward
- Simplified or ideal equivalent circuit representation of transmission line at RF consists of: a. R and C b. R, L, C and G c. Rand G d. Land C Characteristic impedance at RF frequencies is purely: a. conductive b. resistive c. inductive d. capacitive Radiation loss of a transmission line: a. independent of frequency b. increases with frequency c. decreases with frequency d. increases at some frequency range and then decreases with frequencyarrow_forwardQ3 The characteristic resistance of a loss-less transmission line is given by (a) 1/√LC (B) √LC (C)√l/C (D)√C/Larrow_forwardA distortionless transmission line has a resistance per unit length of 0.5 ohm/m. If the characteristic impedance of the line is 50 ohm, them what will be the attenuation constant of the line in Neper (Np)/m?arrow_forward
- The impedance and propagation constant at 241 MHz for a transmission line are Z0 = 43 - j2 Ω and γ=2 + j7 m-1. Determines the parameters per unit length of the line.arrow_forwardtransmission line with an impedance of 35 Ω is connected to a load of impedance of 300 Ω, then the value of VSWR assuming that the line impedance is decreased by 30 % and load impedance is increased by 40%.arrow_forwardWhat is the input impedance of a 50 Ω open circuit transmission line of length λ ⁄ 8, in ohms?arrow_forward
- If characteristic impedance Z,= 50-j302, propagation constanty= 0.6+ j3.5/m, and the length = 1 m. The line is short circuited at the load end, Vg 10 V, Zg = 3+jS Find: a) Input impedance Z. b) Voltage reflection coefficient at load side. c) Voltage and current on the middle of transmission line.arrow_forwardA Parallel wire line has its radius of the conductor is 0.4 mm and the distance between the conductors is 0.4 inches. Compute for the characteristic impedance of the line.arrow_forwardCalculate the charecterictics impedance, propagation constant and velocity of propagation at 600 KHz for a transmission line having L=0.5Mh/km and C=.08microfarad/km,and and negligible R and G.arrow_forward
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