Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 2, Problem 21P
To determine
The value of
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The capacitance per unit length and the
characteristic impedance of a lossless transmission
line are C and Zo respectively. The velocity of a
travelling wave on the transmission line is
(a) Z.C
(c) Zo
C
- UN
(b) Z.C
(d) Z
b) A 6052 characteristic impedance transmission line is fed by a DC source
of 100V with an internal resistance of 4002. The line is 200m long and has a
dielectric constant of 2.25. The load impedance is 12002. Calculate:
i. The load reflection coefficient.
ii. The source reflection coefficient.
iii. What is the voltage at the source terminals just before AND just
after 2us?
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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
- A 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_forwardPlease solve the problemarrow_forward10 V In the lossless transmission line system shown, the switch S is closed at t = 0. a. Find the reflection coefficient IJ. b. Find the reflection coefficient TL. c. Find the transmission coefficient t+. d. Complete the following reflection diagram in order to determine the total voltages VA, VB, Vc, and VD. 752 201=7522 T VA= 5 em |V₁ = ? |V₂ = ? Figure P6 70₂= Son T V₂=? 4 [V=0] Vc 15022arrow_forward
- A single-phase transmission line consisting of two conductors, the radius of each conductor is 0.4 cm, the distance between the conductors is three and half meters and the height above ground is eight 1-The capacitance in uF/km without effect of ground is 2-The capacitance in pF/km with effect of ground isarrow_forward1. a. A purely reactive load impedance Z₁ =jX terminates a transmission line. Prove that the reflection coefficient magnitude |K| is always unity, assuming the characteristic impedance Zo is real. What is the VSWR of the line in this case? b. Consider the transmission line in the figure. i. Determine the SWR on transmission line ii. The input impedance If=102, find I, in the figure. WC 100/0*V] 20 922 Air, lossless Z-50 £2 2.72 40 2 ele 3002arrow_forward2.2. A transmission line has inductance of 0.1 milli henry and capacitance of 1 micro farad. The line is a lossless line. Find its characteristic impedance.arrow_forward
- 5-A lossless T.L. has Zo = 100 Q and is loaded by ZL. The VSWR = 2. The first two voltage minima are located at z= -10 and -35 Cm from the load where z = 0. Determine ZL.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_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
- lossless transmission line has a characteristic impedance of Zo=302, load reflection coefficient is 0.5 .What is the load impedance?arrow_forwardA three-phase, 60-Hz, 69-kV transmission line has an inductance of 1.0531 mH/Km per phase and a capacitance of 0.0098 uf/Km per phase. The line is 400 Km long, and for the purpose of this problem, a lossless line is assumed. Determine the transmission line constant A Select one: O a 0.177 O b. None of these Oc. 0.699 O d. 0.885 three-phase, 60 Hz transmission line has an induarrow_forwardThe voltage waveform on a lossless TL in air is given by: + -20e*Bz (V). The TL has a characteristic impedance of 100 Q and length 0.5 X. What is the load reflection coefficient ? What is the value of the load Z ?arrow_forward
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