Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 10, Problem 10.49P
To determine
To design: A shortest shunt-stub matching networks with the overall line lengths minimized.
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Find 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.
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Given the Hata model with measured distance, d = 50 km, transmitter height, hte = 150 m,receiver height, hre = 5 m, and a BS transmitter radiates an EIRP of 3 kW at a GSM carrierfrequency of 950 MHz, evaluate:
(a) The median path loss, L50 in dB (assume used in a large city in an urban area).
(b) The median path loss, L50 in dB (assume used in a suburban area).
(c) The median path loss, L50 in dB (assume used in an open rural area).
(d) The power at the receiver, Pr in dB (assume a unity gain receiving antenna).
(e) The received path loss, PL in dB.
Given the Hata model with measured distance, d = 50 km, transmitter height, hte = 150 m,receiver height, hre = 5 m, and a BS transmitter radiates an EIRP of 3 kW at a GSM carrierfrequency of 950 MHz, evaluate:
(a) The median path loss, L50 in dB (assume used in a large city in an urban area).
(b) The median path loss, L50 in dB (assume used in a suburban area).
(c) The median path loss, L50 in dB (assume used in an open rural area).
Chapter 10 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 10 - A matching network consists of a length of a...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Design an L-section matching network to match an...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Suppose you want to match a 100 line to a load...Ch. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10PCh. 10 - Suppose the L-section matching network of Example...
Ch. 10 - Find the scattering matrices for the simple...Ch. 10 - Cut a 50- T-line and insert a series 50- resistor...Ch. 10 - Prob. 10.14PCh. 10 - A series capacitor of value C=2.0pF is inserted in...Ch. 10 - A series inductor of value L=3.5nH is inserted in...Ch. 10 - Prob. 10.17PCh. 10 - The scattering matrix (assuming a 50- impedance...Ch. 10 - Three T-lines with the same characteristic...Ch. 10 - Consider a three-port network that is matched at...Ch. 10 - Prob. 10.21PCh. 10 - Calculate the insertion loss and the VSWR for the...Ch. 10 - Prob. 10.23PCh. 10 - Verify the scattering matrix (10.27) for the...Ch. 10 - Prob. 10.25PCh. 10 - Prob. 10.26PCh. 10 - A four-port 20-dB coupler is specified as having...Ch. 10 - Suppose the coupling for an ideal symmetrical...Ch. 10 - Suppose to port 1 of an ideal ring hybrid coupler...Ch. 10 - Prob. 10.30PCh. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Suppose you join a pair of quadrature hybrid...Ch. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - Prob. 10.38PCh. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Starting with the Figure 10.28b circuit...Ch. 10 - Starting with the Figure lO.28b circuit...Ch. 10 - Prob. 10.43PCh. 10 - Starting with the Figure 10.28a circuit...Ch. 10 - Prob. 10.45PCh. 10 - For Problem 10.45, (a) design open-ended shunt...Ch. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.49PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.51PCh. 10 - Referring to Example 10.21 and Figure 10.48,...
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- A transmission line is to be inserted between a 5 Ω line and a 50 Ω load so that there is maximum power transfer to the 50 Ω load at 20 GHz.(a) How long is the inserted line in terms of wavelengths at 20 GHz?(b) What is the characteristic impedance of the line at 20 GHz?arrow_forwardc) i) Consider a noisy continuous communication channel of bandwidth B = 1 MHz, which is perturbed by additive white Gaussian noise whose total spectral power is N0B = 1 W. Continuous signals are transmitted across such a channel, with average transmitted power S = 1,023 W. Give a numerical estimate for the channel capacity, in bits per second, of this noisy channel.arrow_forwardSince 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_forward
- 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.arrow_forward4. Derive the equation to get the message from DSB-SC signal usinghomodyne receiver.arrow_forwardFind the VSWR, SWR(dB), and voltage and power reflection coefficients for a time-varyinginput voltage to transmission line terminated in a matched loadarrow_forward
- A 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_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 should be the length, in cm, of the serial lateral line calculated using the Smith diagram?arrow_forwardWhat is the maximum frequency (in GHz) that a single-line bus with a length of 1 meter can operate at without experiencing significant signal degradation, assuming a rise/fall time of 10% of the signal period and a characteristic impedance of 50 ohms?arrow_forward
- Since the 35 ohm transmission line used at 2 GHz is terminated with a load impedance of 30.8(1 - j) ohms; What should be the distance of the first maximum voltage point to the load, in cm?arrow_forwardc) i) Consider a noisy continuous communication channel of bandwidth B = 1 MHz, which is perturbed by additive white Gaussian noise whose total spectral power is N0B = 1 W. Continuous signals are transmitted across such a channel, with average transmitted power S = 1,023 W. Give a numerical estimate for the channel capacity, in bits per second, of this noisy channel. ii) Suppose that for such a continuous channel with added white Gaussian noise, the ratio of signal power to noise power is given as 30 decibels, and the frequency bandwidth B of this channel is now 10 MHz. Determine the information capacity of this noisy channel, in bits per second, and the number of signal levels needed to achieve it. ONLY answer question ii)arrow_forwardConsider a communication link with a geostationary satellite such that transmitter receiver separation is 30,000 km. Assume the same transmitter and receiver. If a 100-mili-watt transmitter at 4 GHz is used with transmitting and receiving antennas of 0.5-m2 effective area, what is the received power level in dBm? What implications does this power level have on the receiver design? With a land-mobile satellite terminal, the typical antenna gain is 10 dB or less. What does this imply about the data rates that may be supported by such a link?arrow_forward
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