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 10.12P
In a circuit in which a sinusoidal voltage source drives its internal impedance in series with a load impedance, maximum power transfer to the load occurs when the source and load impedances form a complex conjugate pair. Suppose the source (with its internal impedance) now drives a complex load of impedance ZL = RL +XL that has been moved to the end of a lossless transmission line of length
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6-A lossless T.L. has Zo = 100 N and is loaded by an unknown impedance
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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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- q7arrow_forwardA lossless transmission line has a capacitance per unit length of 64pF/m and an inductance per unit length of 1μH/m. The load impedance ZL is purely resistive. Both the load impedance and the generator impedance are 50 Ohms. the characteristic impedance and the propagation velocityarrow_forwardThe 50 ohm transmission line isterminated with an unknown load. The magnitude of the reflection coefficient is R=0.5.Thedistancebetween the voltage maximum and the load is0.15 lambda. What is the imaginary partof the load impedance?arrow_forward
- The open circuit imepdance of a certain length of a loss-less line is 100 ohm. The short circuit impedance of the same line is also 100 ohm. What wilp be its characteristic impedance ?arrow_forwardThe VSWR on an 50-Ohm transmission line is 5. The distance between successive voltageminima is 80 cm while the distance from the load to the first minimum is 30 cm. What are thereflection coefficient and load impedancearrow_forwardThe 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) Zarrow_forward
- For a lossless trabsmisison line, the characteristic impedance is 80 ohm. If the capacitance per unit length is 1.5 mh/m then what will be the inductance per unit length.arrow_forwardQd) A voltage generator with Ve(t) and impedance Zg 50 2 is connected to a 50 2 air lossless TL at 500MHZ. The line length is (4/10)2 m and it is terminated in a load with impedance ZL=(50-j60) Q. Find: (a) Line Parameters. (b) T, and VSWR at the load. (c) (d) Zin at the input to the TL. Return loss.arrow_forwardThe Subject is Electromagnetic II .arrow_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_forwardMicrowavearrow_forwarda line characteristic impedance 600 ohm and 3 db loss is a half wavelength .it is fed by a source of emf 5v and impedance 1 kilo ohm and is terminated by aload 0f 400 ohms impedance .calculate the load voltage ..arrow_forward
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