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 22P
To determine
The value of load impedance.
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A sinusoidal voltage wave is propagating on a low loss
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A sinusoidal voltage wave is propagating on a low loss transmission line. The voltage as a function of position appears as shown below. From this plot, the phase constant B=
Voltage
25
20
15
10
-10
-15
-20
-25
10
20
30
40
50
60
70
80
90
100
Meters
0.562
0.314
0.625
0.489
6-A lossless T.L. has Zo = 100 N and is loaded by an unknown impedance
Its VSWR is 4 and the first voltage maximum is A/8 from the load .
Find the load impedance .
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
- c) For a transmission line w/characteristic impedance Z0 = 50 W. At some point of the line, a forward wave has the voltage V+ = 10V and backward wave has the voltage V- = 4V. i) Currents of the forward wave and backward wave at that point. ii) Measured voltage and current at that point. d) A transmission line has the following properties: Length, L = 3 m. Characteristic impedance Z0 = 50 W. The load impedance ZL = 100 W. And phase constant b = p/3. Assume the forward voltage at z = 0 is VA =10ejp/4 At z = 3m, calculate: i) Forward voltage and forward current. ii) Backward voltage and backward current. iii) Measured (total) voltage and current across the loadarrow_forwardlossless transmission line has a characteristic impedance of Zo=302, load reflection coefficient is 0.5 .What is the load impedance?arrow_forwardA lossless 60-0 line is terminated by a 60 + j60-2 load. If Zin = 120 - j60 N, how far (in terms of wavelengths) is the load from the generator? Solve this without using the Smith chart. calculate reflection coefficient and standing wave ratio.arrow_forward
- Three lossless lines are connected as shown in the figure below. Determine the input impedance. a/2 2/4 3A/4 Z,,= 500 Z= 1000 Zg= 750 Z= 60-j40 Q "03arrow_forwardA 702 high-frequency lossless line is used at a frequency where 2 = 80cm with a load of 140+j91 2 a. Calculate the reflection coefficient and the SWR b. Determine the distance to the first voltage minimum from the load c. Determine the distance to the first voltage maximum from the load d. Calculate the impedance at the point where maximum voltages occurarrow_forwardFor the circuit shown in figure 1: 1 By using Smith Chart, compute: 1. The impedance at the length equal to 0.12. - 2. The voltage standing wave ratio. 3. The load reflection coefficient. Figure 1 4. From the load, compute the reflection coefficient at the length equal to 0.12. € 0.12. Z₁ = 500 ore on E Z₁ Z₂ =5+j25 [02]arrow_forward
- By using Smith Chart Find the following: What is the impedance ? What is the ?.VSWR on the line? What is Ref. Cof l = 2.5 [cm] Z = Z, z → Z, = 50 2, f = 3GHZ Z Z, =100+ j40 [2]arrow_forwardQ) A source of 10 V and frequency 1000 KHz with internal resistance of 10 2 is connected to the sending end of a transmission line which can be represented by a resistance of 70 Q in series with capacitance of 0.001 uF connected across the line at the receiving end. An inductive load of inductance 0.002 H and resistance 100 is connected across the receiving end of the line. Determine the load current.arrow_forwardb. Determine what is the necessary length and characteristic impedance of a cable to be used as a quarter-wave matching transformer so that it can eliminate the standing waves and subsequently provide a matched condition for a 180 O resistive load fed from a 45 0 transmission line. This condition is to exist for a frequency of 95 MHz. Given a velocity factor = 1.0.arrow_forward
- Paragraph Styles The power factor must be close to in the transmission lines will be reduced To insure that losses D(Ctrl) -arrow_forwardThe transmission line has the following dataweight of the conductor = 8.2 kg/m, working tension = 1765 kg, and the conductor sag = 4.2 meter, then the distance between the towers is ....................arrow_forwardThe two wire lines shown in the figure below are lossless and have Zo=200 Ω. Find d and shorted possible value for d1 to provide a matched load if λ=80cm and also the standing wave ratio for each of the sections.arrow_forward
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