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 10.16P
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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
4. (a) A transmission line with a characteristic impedance of 100
has a load of 1 k2 resistance in parallel with a 0.005 µF
capacitor connected across the far end. A surge voltage of
magnitude 10 kV and unit function form (i.e. step function)
travels along the line. Derive an expression for the time
variation of the voltage across the load, and calculate the
value of this voltage 10us after the arrival of the wave front
of the surge
Transient Analysis on Long Transmission Lines Question
A surge of 18 kV travels along a cable towards its junction with the overload line. The
surge impedance of the cable is 50 2 and the line has an inductance of 10 mH/km
and capacitance of 0.0625µF/km. The surge voltage (in kV) transmitted into the line is:
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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- A transmission line is terminated by a load with admittance Y, = (0.6 + j0.8)/Z,. Find the normalized input impedance at /6 from the load. %3D 3arrow_forwardSuppose that the modulating signal m (t) is sinusoid of the formm (t) = 10 COS ( 2π103t) and the carrier signal C(t) is sinusoid of the form C(t) = 4 COS ( 2π106t + Ɵ)1. According to the previous results which type of AM is the best in respect toa. Power transmitted b. band widthJustify your answers2. Draw the block diagram for both DSBSC and DSBFC with all parameters.arrow_forwardTopic: Maximum Power Transfer Theorem for an AC Circuit B. Calculate the value of Cl such that the reactive component of ZL is equal to butopposite in polarity than the reactive component of ZS.arrow_forward
- Suppose that 0(t) = wot + n/2 and i.(t) = vZcosw,t iz (t) = v2sinwot i,(t) = -V2coswot Note that the currents are not a balanced set. Find the frequency components in io(t), in ia(t) and in i,(t). Consider de to be zero frequency.arrow_forwardA transmission line of characteristic impedance 40 ohms and length 6.2λ is terminated by an unknown load impedance. The reflection coefficient, Γ, looking into the transmission line at the input is 0.45+j0.55 What is the unknown load impedance?arrow_forwardFor a transmission line w/characteristic impedance Zo = 50 2. At some point of the line, a forward wave has the voltage V+ = 10V and backward wave has the voltage V = 4V. Currents of the forward wave and backward wave at that point. Measured voltage and current at that point. i) ii)arrow_forward
- 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?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 phase constant B= Voltage 25 20 15 10 -10 -15 -20 -25 10 20 30 40 50 60 70 80 90 100 Meters 0.562 0.314 0.625 0.489arrow_forwardTransmission Lines (i). (ii). What is transmission line and why we can study it using periodic configuration of LC circuits? What is characteristic impedance and why it is important? Do you know any practical example of its use? (ii). Explain the difference between open and short circuit at the end?arrow_forward
- The corona loss on a particular ac system of frequency 60 Hz is 2 kW/phase per km. The corona loss on the same system in case of DC transmission will be.arrow_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 transmission line has a characteristic impedance of 100 ohm and a resistance of 0.2 ohm/m. If the line is distortion less, then what will be the attenuation constant associated with the line?arrow_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