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 20P
(a)
To determine
The value of
(b)
To determine
The value of
(c)
To determine
The location of voltage maximum nearest to the load.
(d)
To determine
The location of current maximum nearest to the load.
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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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Similar questions
- b. 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_forwardA 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 damping coefficient α=arrow_forwardA 502 transmission line is terminated with a 502 resistor on series with a 2 * 10 H inductor. If the frequency of the operation is 60 10° MHz find the reflection coefficient at the load. * Select one: O a. 0.36e56 О .1 O c.0.45e22 O d. 0.6e 37 Oe. 0arrow_forward
- 5arrow_forwardA transmission line having characteristic impedance 1202 is operating at 5000 * 105 rad/s, the line has a relative permittivity 2.25, find inductance and capacitance of this line. Let load impedance be represented by an inductance of 0.6 uH with a 100 Q resistance in series. Find reflection coefficient and standing wave ratio. Consider the transmission line is lossless type.arrow_forwardWhat is the value of the input impedance half wavelength from the load? a. ZL b. minimum c. maximum d. Zo For an open circuit line, the location of the first maximum current is ____. a. at the load b. λ/4 from the load c. 0.125λ from the load d. λ/2 from the load What is the phase difference between two points that are half wavelength apart? a. 90° b. 45° c. 180° d. 270°arrow_forward
- Q1: A. a lossless transmission line, with a length of 0.22, has an equivalent inductance 2500 time larger than its equivalent capacitance. The load attached at the end of the transmission line is 250 Determine: | 1. The characteristic impedance. 2. The load reflection coefficient. 3. The SWR over the line. 4. The input impedance. 5. What is the length in wavelength to be the input impedance equal to the load impedance? 6. If the source supplies just 1w to the input of the transmission line, what is the power at the load?arrow_forwardCOS (2T10 Problem 4. A voltage wave of the form V+ = (2x 10-4V) cos( t-kz is incident from cable 1 with characteristic impedance 201 = 1200 onto a connection to cable 2 with characteristic impedance Z02=1002. Take the speed of the cable wave in each cable to be 2 x 10 m/s. A) Find the amplitudes of the reflected and transmitted voltages. B) Find the incident, reflected, and transmitted powers.arrow_forwardProblem 1: A lossless transmission line has characteristic impedance Z. = 50 N and its input impedance is 60 - j70 N. The line operates at a wavelength of 0.4 m and is 3.85 m long. Calculate: (a) The load impedance connected to the line. (b) The location of the voltage minima and maxima on the line, starting from the load. (c) The reflection coefficient at the load (magnitude and angle) and the standing wave ratio on the line. (d) The magnitude of the maximum and minimum voltage and current on the line if the load voltage is 22 -j10 V.arrow_forward
- CPMPLETE SOLUTIONarrow_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_forwardThe magnitude of the phasor voltage on a lossless air transmission line connecting a transmitter to a reci=eiver is shown below. The transmission line impedance is 50 ohms. The sinusoidal generator operates at a frequency of 3 GHz. The load is at position z = 0. The first minima at point A (|V|_min = 0V) occurs at d = 1.25 cm from the load towards the generator. a. What is the Voltage Standing Wave Ratio (VSWR) of this line? What is the reflection coeddicient a the load in phasor format (magnitude and phase)? b. What is the physical distance from point C to D in meters? c. What is the magnitude of the reflection coefficient |Γ (at C)| at point C? d. What is the wave impedance (resistance and reactance) and the reflection coefficient (phase and magnitude) at point C.arrow_forward
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