Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 10, Problem 10.23P
The normalized load on a lossless transmission line is
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It is desired to construct uniform transmission lines using polyethylene (εr = 2.25) as the dielectric medium. Assuming negligible losses, find the inner radius of the outer conductor (in mm) for a 76 Ω coaxial line, where the radius of the center conductor is 0.6 (mm).
A 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.
For a lossy medium (or=1.7 S/m, ur=1 and Er=20), a) Calculate the frequency at which the transmission current density and displacement current density magnitudes are equal for the time harmonic field, and b) Calculate the self-impedance at this frequency.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.4 F/m, and 7.5 H inductance per meter. The diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 4.97. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?arrow_forwardA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.4F/m, and 7.5 H inductance per meter. The diameter of the inner conductor as 0.8m,and the dielectric constant of the insulation as 4.97. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?arrow_forwardQ1) A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart.(b) Compute the input impedance using the transmission line input impedance equation.arrow_forward
- A transmission line has an inductance of 4 mH/loop km and a capacitance of 0.004µF/km. Determine, for a frequency of operation of 1 kHz, the phase delay, the wavelength on the line, and the velocity of propagation (in metres per second) of thearrow_forward. A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation 50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is providedarrow_forwardIn a lossless medium for which η = 30 π, μr = 1, and H = -0.1 cos (ωt-z)ax +0.5 cos (ωt-z)ay A/m, calculate εr, ω, and E.arrow_forward
- A microstrip line is composed of zero thickness copper conductors on a substrate having εr = 8.4, tan = 0.0005 and thickness 1.5 mm. if the line width is 0.5 mm,and operated at 6Ghz, determine the characteristic impedance.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_forwardI 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_forward
- A lossless transmission line has a Zo of 50 ohms and a line velocity of 2.4 x 10^8 m/s. If the operating frequency is 1 MHz. Determine the capacitance in pf.arrow_forwardA lossless coaxial cable transmission line has L = 200 uH/ft and C = 100 nF/ft. The inner diameter of the outer conductor is 3 cm and the diameter of the inner conductor is 1 cm. What is the dielectric constant of the insulator?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