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 10.9P
A 100-m transmission line is used to propagate a signal from a transmitter to a receiver whose input impedance is
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A cellular radio transmitter has a power output of 3 W at 800 MHz. It uses an antenna with a gain of 3 dBi. The receiver is 5 km away, with antenna gain of 12 dBi. Ignoring feedline losses and mismatch, calculate
(a) the EIRP in dBW
(b) the free space path loss,
(c) the power delivered to the receiver in W and dBm
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.
. 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 provided
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 lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2μH/m and C = 80 pF/m. The line is terminated by a load ZL = 50 + j20 Ω. Determine the: (a) reflection coefficient ; (b) SWR ; (c) the input impedance of the line. (d) What average power is delivered to ZL if the input voltage is 100 V?arrow_forwardIf a transmission line has a characteristic impedance of 90 ohms and a propagation constant of j0.9 1/m, how many ohms will the line's series impedance be at 1 GHz?arrow_forwardA 2-meter, two-wire, lossless line with a characteristic impedance of 250 Ohms connects an antenna and a receiver. The dielectric constant of the line gives a velocity of 2.4x108m/s The antenna is modeled through its Thevenin network, in which a 500-microVolt 100-MHz source is in series with a 200-Ohm resistance. The receiver is modeled as a load impedance. 1. What is the wavelength on the line in meters? 2. What is the phase constant in rad/m? 3. What is the attenuation constant? 4. What is the electrical length of the line in degrees?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_forwardIf the characteristic impedance of a transmission line is 30 ohms and the propagation constant j3 1/m, how many ohms will the line impedance be at 1 GHz?arrow_forwardThe magnitude of the phasor voltage on a lossless air transmission line connecting a transmitter to a reci=eiver is shown below. The transmission line impedance is 50 ohms. The sinusoidal generator operates at a frequency of 3 GHz. The load is at position z = 0. The first minima at point A (|V|_min = 0V) occurs at d = 1.25 cm from the load towards the generator. For R’, L’, G’, and C’, list all that are equal?What is the impedance of the load?arrow_forward
- A 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_forwardThe lossless network given below is excited with a microwave source having frequency f=9,6 GHz. For the air transmission line L=7,7 nH/m, C=3,1 pF/m. Find the characteristic impedance of the transmission line Z0=? (Ω)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_forward
- A 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_forwardA cellular radio transmitter has a power output of 3W operating at a frequency of 800MHz, using a 7dB gain antenna. The receiver is located at a distance of 8km with a 12dB antenna from this point. A)Calculate the power received at the receiver and express it in dBm.B)Now consider losses in the transmission lines in both the transmitter and receiver of 1dB and 1.5dB respectively, and calculate the power received at the receiver.arrow_forwardA 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.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