Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 10, Problem 10.29P
To determine
The load impedance
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1.
What is the necessary condition for matching transmission lines? In addition, what is a micro strip line?
2.
For a distortion less line α = 0.02dB/m, Z0 (R0) = 60Ω and C = 0.2nF/m. Find the resistance and velocity of wave propagation. [Do not forget the units.]
3.
For a finite lossless transmission line with open-circuit termination, sketch Xio vs l. Indicate where the sketch is inductive and capacitive.
QI/ A lossless coaxial cable of 170 mm long has the parameters L — 245 nWm andC — 200 pF/m. The operating frequency is f —I GHz and the line is terminated by ZL —100 Q, determine:A) The characteristic impedance.B) The input impedance at the input terminals of the line.C) The standing wave ratio on the line.
A 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.
Chapter 10 Solutions
Engineering Electromagnetics
Ch. 10 - The parameters of a certain transmission line...Ch. 10 - A sinusoidal wave on a transmission line is...Ch. 10 - Prob. 10.3PCh. 10 - A sinusoidal voltage V0, frequency , and phase...Ch. 10 - Two voltage waves of equal amplitude V0 and radian...Ch. 10 - A 50 load is attached to a 50-m section of the...Ch. 10 - Prob. 10.7PCh. 10 - An absolute measure of power is the dBm scale, in...Ch. 10 - A 100-m transmission line is used to propagate a...Ch. 10 - Two lossless transmission lines having different...
Ch. 10 - Two voltage waves of equal amplitude V0, which...Ch. 10 - In a circuit in which a sinusoidal voltage source...Ch. 10 - The skin effect mechanism in transmission lines is...Ch. 10 - A lossless transmission line having characteristic...Ch. 10 - Figure 10.29 See Problem 10.15. For the...Ch. 10 - A 100 lossless transmission line is connected to a...Ch. 10 - Determine the average power absorbed by each...Ch. 10 - The line shown in Figure 10.31 is lossless. Find s...Ch. 10 - A lossless transmission line is 50 cm in length...Ch. 10 - (a) Determine s on the transmission line of Figure...Ch. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - The normalized load on a lossless transmission...Ch. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - A 75 lossless line is of length 1.2 . It is...Ch. 10 - Prob. 10.27PCh. 10 - The wavelength on a certain lossless line is 10...Ch. 10 - Prob. 10.29PCh. 10 - A two-wire line constructed of lossless wire of...Ch. 10 - In order to compare the relative sharpness of the...Ch. 10 - In Figure 10.17, let ZL=250 and Z0=50. Find the...Ch. 10 - In Figure 10.17, let ZL=100+j150 and Z0=100. Find...Ch. 10 - The lossless line shown in Figure 10.35 is...Ch. 10 - Prob. 10.35PCh. 10 - The two-wire lines shown in Figure 10.36 are all...Ch. 10 - Prob. 10.37PCh. 10 - Repeat Problem 10.37, with, Z0=50 and RL=Rg=25....Ch. 10 - In the transmission line of Figure 10.20, Z0=50,...Ch. 10 - In the charged line of Figure 10.25, the...Ch. 10 - In the transmission line of Figure 10.37, the...Ch. 10 - Figure 10.38 See Problem 10.42. A simple frozen...Ch. 10 - Figure 10.39 See Problem 10.43. In Figure 10.39,...
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Similar questions
- A transmission line in air with characteristic impedance Z0=50 ohm is terminated with a load impedance ZL ohm. What is the propogation constant k of the transmission line (assuming a coaxial line) for a 100 MHz uniform plane wave? What is the equivalence impedance of Z(-l) at l=.75m when ZL=25-j200 ohm? Calculate the shunt admittance to be added at l=.75m so that the line matched.arrow_forwardA lossless coaxial cable with L = 0.5 uH/ft and C = 100 pF/ft is terminated by a 100-ohm resistive load. What is the characteristic impedance of the quarter-wavelength line that can be used for impedance matching?arrow_forwardA load has a reflection coefficient of 0.5 when referred to 50 Ω. The load is at the end of a line with a 50 Ω characteristic impedance.(a) If the line has an electrical length of 45 degrees, what is the reflection coefficient calculated at the input of the line?(b) What is the VSWR on the 50 Ω line?arrow_forward
- The following characteristics have been measured on a lossy transmission line at 100 MHz: Zo = 50 + j0, α = 8 dB/m, and β = 1.5 rad/m. Determine R, L, G, and C for the line. Show the details of your work. Paste your scanned solution to the space provided below.arrow_forwardA transmitter delivers 50 W into a 600 Ω lossless line that is terminated with an antenna that has an impedance of 275 Ω, resistive. (a) What is the coefficient of reflection? (b) How much of the power actually reaches the antenna?arrow_forwardThe observed standing wave ratio on a 100 Ω lossless line is 8. If the first voltage maximum occurs at 0.3λ from the load, calculate ZL and voltage reflection coefficient at the load.arrow_forward
- I want a solution for branches A and B, pleaseA) Determine the primary constants, R, L, G, and C for a distortion-less line working at 300 MHz. Given that the line has characteristic impedance, Zo=750, attenuation constant a=0.12Np/m, and wave velocity, v=1.4×10 m/sB) A lossless transmission line used in a TV receiver has a capacitance of 50 pF/m and an inductance of 200 nH/m. Find the characteristic impedance for sections of a line 10 meter long and 500 m long.arrow_forwardThe following lossless network is powered by a f=9 GHz microwave source. A matching circuit is designed for ZL=91 load and ZS. Since it is known that L=631,30220884613 pH here, what is ZS? π=3.1416arrow_forwardA lossless transmission line is terminated by an open circuit. An incident signal travels from the source to the load gets reflected and travels all the way back to the source. It takes 4 microseconds for the signal to go from the source to the load and then from the load to the source. What is the length of the line (in m) if the propagation velocity is equal to the speed of light (in m/s)? Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an integer).arrow_forward
- The observed standing-wave ratio on a 100-Ω lossless line is 8. If the first maximum voltageoccurs at 0.3λ from the load, calculate the load impedance and the voltage reflection coefficientat the load. (use smith chart) How do you use a smith chart to solve this?arrow_forwardA signal generator having an internal resistance 1 Ω and an open-circuit voltage vg(t) = 0.3 cos 2π 108 t (v) is connected to a 50 Ω lossy transmission line. The line is 4 (m) long, and the velocity of wave propagation on the line is 2.5 x 108 (m/s) with attenuation constant of 0.01 (dB/m). For a matched load, find: (a) The propagation constant on the line. (b) the instantaneous expressions for the voltage and current at an arbitrary location on the line, (c) the instantaneous expressions for the voltage and current at the load, and (d) the average power transmitted to the load.arrow_forwardA 105MHz, 90 v peak signal is incident on a 50-ohm transmission line. The line is 125m long and is terminated in 300-ohm load. What is the SWR for this situation? Find the reflection coefficient.arrow_forward
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