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 10.6P
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At 3 GHz, a shorted parallel sideline will be used to match a 60 ohm transmission line to a load impedance of ZL = 30 - j60 ohms. What should be the length of the parallel lateral line, in mm? Calculate using the Smith diagram.
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.
Given the Personal Communications Service (PCS) extension to the Hata Model with a measured distance, d = 30 km, transmitter height, hte = 100 m, receiver height, hre = 7 m, and BS transmitter radiates an EIRP of 5 kW at a GSM carrier frequency of 925 MHz, evaluate:
(a) The median path loss, L50 in dB (assume used in a medium sized city).
(b) The median path loss, L50 in dB (assume used in a metropolitan center).
(c) The power at the receiver, Pr in dB (assume a unity gain receiving antenna).
(d) The received path loss, PL in dB.
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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- Since S = 1.7 in a transmission line to be used at 2 GHz; What is the length, in cm, of the parallel lateral line required to match the transmission line to the load impedance?arrow_forwardA 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 dBmarrow_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_forward
- Calculate the charecterictics impedance, propagation constant and velocity of propagation at 600 KHz for a transmission line having L=0.5Mh/km and C=.08microfarad/km,and and negligible R and G.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_forwardA satellite transmitter operates at 4 GHz with an antenna gain of 40 dBi. The receiver 40,000 km away has a gain of 50 dBi. If the transmitter has a power 8 W, ignoring feedline losses and mismatch, find (a) the EIRP in dBW (b) the free space path loss, (c) the power delivered to the receiver in W and dBmarrow_forward
- Use the free space model and the following equation to compute the received power in dBm for a 900 MHz signal travelling to a receiver 200 meters away. Assume the transmitter antenna gain is 10 dB and the receiver antenna gain is 3 dB. Assume the power at the transmitter is 22 dBm. (Note: Pr dBm is the received power in dBm, Pt dBm is the transmitted power in dBm, PL dB is the free space path loss in dB, Gt dB and Gr dB are the antennas gains at the transmitter and receiver, expressed in dB, respectively) state the answer in the correct units and show all your computations to receive creditarrow_forwardFind the median path loss using Hata model for d= 10 Km, hte = 50 m, hre = 5 m in a urban environment. If the base station transmitter at a carrier frequency of 900 MHZ. Need Handwritten with All Formulas Clearly Mentioning. Thank youarrow_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_forward
- If 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 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_forwardA 100 ohm transmission line powered by a 1 GHz source and terminated with a load impedance of ZL = 60 + j50 ohms will be matched with an open-circuit series side. What is the distance, in cm, from the load of the serial lateral line calculated using the Smith diagram?arrow_forward
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How does an Antenna work? | ICT #4; Author: Lesics;https://www.youtube.com/watch?v=ZaXm6wau-jc;License: Standard Youtube License