Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 10, Problem 10.19P
A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are
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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 load
8. A transmission line has a characteristic impedance of 500 and a resistance
of 0.1 02/m. If the line is distortion less, the attenuation constant (in Np/m) is
(a) 500
(b) 5
(c) 0.014
(d) 0.002
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?
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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- Question 3 If a transmission line of characteristics impedance of Zo= 500 is terminated with a load impedance of ZL= 100 02, then the reflection coefficient is 0.3334 O O 0.6667 01.6 1.333arrow_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_forwardA 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_forward
- Find the input impedance (Zin) for a lossless transmission line shown in below: B C A sa/8- - 52/8- He 31/4 te /2- O O Zin Z, = 50 2 100 N Z, = 75 2 %3D ZL = 60 – j 35 n %3Darrow_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_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_forward
- ansmission line experiment, when we observed a diagonal linear line passing through the origin on x-y loscope, this means that ct one: A. The phase between the source and the transmission line is 90° B. The phase between the source and the transmission line is -90° C. The phase between the source and the transmission line is 180° D. The phase between the source and the transmission line is zeroarrow_forwardConsider the transmission line in the figure below. RG t=0 VG Zo d The length of the line is d = 3 m. The source voltage VG = 15 V, and the signal propagates on the line at a speed u, = 2 · 108 m/s. The load impedance is Z, = 200 N, the characteristic impedance is Zo = 100 N, and the resistance of the generator is RG = 50 N. a) Determine the time T necessary for the signal to travel from the sending end to the receiving end of the line b) Determine the reflection coefficients I, and Tç at the load and the source, respectively c) Using the bounce diagram, sketch the voltage and current as a function of time at a distance from the generator of 2m, up to time t = 60 ns (provide the values of voltages and currents in your graphs and show your calculations) d) What are the voltage and current on the line after a very long time from the time the switch closes (t = 0)? (Explain your answer and show your calculations)arrow_forwardENG3043 Tutorial I A DC voltage source (Vs=10 V) is connected to a load (Z= 100 2) via a lossless transmission line (TML) as shown below. The voltage source has an internal impedance Zg–50 £2 and the TML has a characteristic impedance Z- 75 2. i. Calculate the phase velocity of the TML if its effective permittivity c is 2.56; ii. Calculate the source and load refection coefficients; iii. At t-0, the switch is closed. Draw the voltage waveform V(z.1) on the TML at t=2.5T where T is the time taken traveling from one end of the TML to the other and z refers to any position on the TML iv. Draw the voltage waveform at z=3/4 from the source for the time period between 0 and 37; v. If the switch was open at =1.57, draw the voltage waveform at z=l/2 from the source for the time period between 0 and 37arrow_forward
- 1. 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_forward9. A transmission line has a characteristic impedance of 502 and a resistance of 0.1 Q/m. If the line is distortion less, the attenuation constant (in Np/m) isarrow_forwardA 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 meter. Determine 1)The capacitance in uF/km without effect of ground 2)The capacitance in uF/km with effect of groundarrow_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