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, Problem 16P
A transmission line operating at 125 MHz has Z0 = 40 Ω, α = 0.02 (Np/m), and β = 0.75 rad/m. Find the line parameters
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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 transmission line of characteristic impedance of Zo=50 ohm with length of A/4 loaded by a load impedance of 150ohm find 1- the load reflection coefficient 2- the standing wave ratio (SWR)arrow_forwardAn antenna with a radiation resistance of 48 ohms, a loss resistance of 2 ohms, and a reactance of 50 ohms is connected to a generator with open-circuit voltage of 10 V and internal impedance of 50 ohms via a N4-long transmission line with characteristic impedance of 100 ohms. The power radiated by the antenna is ..... .. 0.1384w 0.1384dB 0.148dB 0.148warrow_forward0.35λ long with characteristic impedance Z0= 50 ohmstransmission line is combined with ZL=10+j25 load. in the source andShow the reflection coefficient at the input using the Smith chart. Zin=? Γ=? SWR=?arrow_forward
- 1. Matching of a transmission line with a characteristic impedance (Zo) and a load impedance (Zn) can be obtained when (a) ZR 0.5Zo (b) ZR=2Zo (c) ZR-Zo (d) ZR-0 2. Standing wave ratio (S) for a short circuit load connected to a transmission line is equal to (a) S=0 (b) S= -1 (c) S= Infinity (d) S=1 3. Any transmission line repeats its impedance, voltage, and current characteristics every . (Where n-0, 1, 2, 3....etc.) (a) nλ/2 (b) nλ/3 (c) ni/5 (d) n2/6arrow_forwardA loss less transmission line with reflection coefficient 3 ⁄ 13 at load end is terminated by a load80Ω.a) Find the characteristic impedance.b) Find the reflection coefficient at a distance λ/8 from the load end using the answer in part (a)and reflection coefficient mentioned abovec) Find the input impedance at a distance λ/8 from the load end using the answer in part (b)arrow_forwardFind out the general solution for a transmission line due to transient voltage,where ,e = f(x-at) + F(x+at)arrow_forward
- 763. (NEW) This is about two points, (x1,y1) and (x2,y2), on a straight line whose slope is given in dB/decade. The x-axis is log and the y-axis is linear. Find x2 given: y1=47 dB, x1=41, y2=51 dB, slope=33 dB/decade.arrow_forwardFor a parallel plate transmission line, since the relative dielectric constant is 2.5, the plate width is 30 mm, and the distance between the plates is 4 mm, what is the characteristic impedance of the line?arrow_forwardIn the transmission line below, Z0=50 ohm operating frequency is 100MHz and wave speed is given as v=10^8 m/s. If d=46cm and l=14cm are chosen to avoid any back reflection in the transmission line, the load impedance ZL=?arrow_forward
- A 50 transmission line is terminated with a load of Z₁ = 100 + j50 Q. Find the voltage reflection coefficient and the voltage standing wave ratio (VSWR). r = ZL - Zo ZL + Zo S= 1+|T| 1 – |r|arrow_forwardFind the characteristic impedance and signal velocity for a transmission line consisting of two parallel strips with a width ω and a separation d. You can ignore fringing fields by assuming that they are sections of concuctors infinitely wide.arrow_forward4. A transmission line is terminated in its characteristic impedance as shown below. Explain what happens when the switch is closed Rs = 50 Q Z0= 50 2 R_ = Q 100V V inpul 1. What is expected VSWR for a transmission line with a reflection coefficient of 0.377? What is the input impedance at a point one-eighth wavelength in front of a transmission line with a characteristic impedance of 50 N terminated in an open.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