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 10.8P
To determine
To design: An L-section matching network.
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A wireless communication system has a trasmit power Pt = 10 mW. Through extensive measurements, the path gain of the system at the reference distance is determined to be -32 dB, and the path loss exponent to be 3.8. Using the simplified path loss model, find the received power in mW at distance 200 meters from the transmitter
A 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.
A transmitter supplied by 100W power is used with an antenna having a gain of 5dBi.
a) Calculate the EIRP in dBm
B) Calculate the power density (µW/m^2) at distance of 10km.
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 with a characteristic impedance of 100 Ohm is used tomatch a 50 ohm section to a 200ohm section. If the matching is to be doneat 429 MHz and I GHz. The length of the transmission line can beapproximately.arrow_forwarda) Find the shortest length of this open tranmission line that appears at the input as a capacitor of 5 pF at 2.5 GHz. b) Repeat for the inductance of 5 nH.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
- Multiple Choice directions: Circle the letter of the answers 7. This is a special microwave coaxial cable used in the lower microwave bands L, S, and C. a. Flexible coaxial b. All of the above c. Hard line cable d. Braided coaxial 8. The practical microwave region is in the vicinity of a. 1-10 GHz b. 1-20 GHz c. 1-300 GHz d. 1-30 GHz 9. In a hybrid ring, if the signal is applied at port 1, which port has no output? a. 3 b. 2 c. 1 d. 4 Note: Explanation is not needed just provide the correct answers for each number.arrow_forwardCalculate 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_forwardSince S = 2.5 in the 50 ohm transmission line used at 1.5 GHz and the distance to the minimum voltage point closest to the load is 3 cm; How many ohms should the load impedance be calculated using the Smith Diagram? a)44 - j 44 b)24 - j 24 c)24 + j 24 d)44 - j24 e)44 + j 44arrow_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_forwardFind out the general solution for a transmission line due to transient voltage,where ,e = f(x-at) + F(x+at)arrow_forwardA load impedance of 40 + j70 Ω terminates a 100 Ω transmission line that is 0.3λ long. Find the reflection coefficient and angle at the load, the VSWR on the line, the input impedance and the position of first Vmin and first Vmax from the load.arrow_forward
- A 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_forwardAt 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.arrow_forwardThe height of base station is 200 meter and operated at 2600MHz. The gain of the base station antenna (transmitter) and the receiving antenna (mobile phone) are 20 dB and 6 dB, respectively. The distance between base station and mobile phone is 2 km. a) Find the free space transmission loss. b) Find the power received when the transmitted power is 60 W.arrow_forward
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