Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 33P
Two half-wave dipole antennas, each with an impedance of 75 Ω, are connected in parallel through a pair of transmission lines, and the combination is connected to a feed transmission line, as shown in Fig. P2.33. All lines are 50 Ω and lossless.
- (a) Calculate Zin1 the input impedance of the antenna-terminated line, at the parallel juncture.
- (b) Combine Zin1 and Zin2 in parallel to obtain
- (c) Calculate Zin of the feedline.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An antenna with a radiation resistance of 48
ohms, a loss resistance of 2 ohms, and a
reactance of 50 ohms is connected to a
generator with open-circuit voltage of 10 V
and internal impedance of 50 ohms via a
N4-long transmission line with
characteristic impedance of 100 ohms. The
power radiated by the antenna is
..... ..
0.1384w
0.1384dB
0.148dB
0.148w
A transmitter has an output power of 50 W. It is connected to its antenna by a feed line that is
25 m long and properly matched. The loss in the feedline is 5 dB/100m. The antenna has a
gain of 8.5 dBi.
a) How much power reaches the antenna?
b) What is the EIRP in the direction of maximum antenna gain?
c) What is the power density 1 km from the antenna, in the direction of maximum gain,
assuming free-space propagation?
2.107. A radar antenna, used for both transmitting and receiving, has a gain of 150 (dimensionless)
at its operating frequency of 5 GHz. It transmits 100 kW, and is aligned for maximum direc-
tional radiation and reception to a target 1 km away having a radar cross section of 3 m².
The received signal matches the polarization of the transmitted signal. Find the received
power.
Chapter 2 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 2.2 - What is a transmission line? When should...Ch. 2.2 - Prob. 2CQCh. 2.2 - What constitutes a TEM transmission line?Ch. 2.2 - Prob. 4CQCh. 2.2 - Prob. 1ECh. 2.2 - Calculate the transmission line parameters at 1...Ch. 2.4 - Verify that Eq. (2.26a) indeed provides a solution...Ch. 2.4 - A two-wire air line has the following line...Ch. 2.6 - The attenuation constant represents ohmic losses....Ch. 2.6 - How is the wavelength of the wave traveling on...
Ch. 2.6 - Prob. 7CQCh. 2.6 - What is a standing-wave pattern? Why is its period...Ch. 2.6 - Prob. 9CQCh. 2.6 - For a lossless transmission line, = 20.7 cm at 1...Ch. 2.6 - A lossless transmission line uses a dielectric...Ch. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 10ECh. 2.6 - A 140 lossless line is terminated in a load...Ch. 2.8 - What is the difference between the characteristic...Ch. 2.8 - What is a quarter-wave transformer? How can it be...Ch. 2.8 - Prob. 12CQCh. 2.8 - Prob. 13CQCh. 2.8 - if the input impedance of a lossless line is...Ch. 2.8 - Prob. 12ECh. 2.8 - A 300 feedline is to be connected to a 3 m long,...Ch. 2.9 - According to Eq. (2.102b), the instantaneous value...Ch. 2.9 - Prob. 16CQCh. 2.9 - What fraction of the incident power is delivered...Ch. 2.9 - Prob. 18CQCh. 2.9 - For a 50 lossless transmission line terminated in...Ch. 2.9 - For the line of Exercise 2-14, what is the...Ch. 2.10 - The outer perimeter of the Smith chart represents...Ch. 2.10 - What is an SWR circle? What quantities are...Ch. 2.10 - What line length corresponds to one complete...Ch. 2.10 - Which points on the SWR circle correspond to...Ch. 2.10 - Prob. 23CQCh. 2.10 - Use the Smith chart to find the values of ...Ch. 2.11 - Prob. 24CQCh. 2.11 - Prob. 25CQCh. 2.12 - What is transient analysis used for?Ch. 2.12 - Prob. 28CQCh. 2.12 - What is the difference between the bounce diagram...Ch. 2 - A transmission line of length l connects a load to...Ch. 2 - Show that the transmission-line model shown in...Ch. 2 - A 1 GHz parallel-plate transmission line consists...Ch. 2 - For the parallel-plate transmission line of...Ch. 2 - In addition to not dissipating power, a lossless...Ch. 2 - For a distortionless line [see Problem 2.13] with...Ch. 2 - Prob. 15PCh. 2 - A transmission line operating at 125 MHz has Z0 =...Ch. 2 - Prob. 17PCh. 2 - Polyethylene with r=2.25 is used as the insulating...Ch. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - A 50 lossless line terminated in a purely...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Two half-wave dipole antennas, each with an...Ch. 2 - Prob. 34PCh. 2 - For the lossless transmission line circuit shown...Ch. 2 - A lossless transmission line is terminated in a...Ch. 2 - The input impedance of a 31 cm long lossless...Ch. 2 - FM broadcast station uses a 300 transmission line...Ch. 2 - A generator with Vg=300 V and Zg = 50 is...Ch. 2 - If the two-antenna configuration shown in Fig....Ch. 2 - For the circuit shown in Fig. P2.44, calculate the...Ch. 2 - The circuit shown in Fig. P2.45 consists of a 100 ...Ch. 2 - An antenna with a load impedance ZL=(75+j25) is...Ch. 2 - Prob. 47PCh. 2 - Use the Smith chart to determine the input...Ch. 2 - Prob. 52PCh. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - A lossless 50 transmission line is terminated in...Ch. 2 - Use the Smith chart to find yL if zL = 1.5 j0.7.Ch. 2 - Prob. 59PCh. 2 - Prob. 62PCh. 2 - Determine Zin of the feed line shown in Fig....Ch. 2 - Prob. 73PCh. 2 - A 25 antenna is connected to a 75 lossless...Ch. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - In response to a step voltage, the voltage...Ch. 2 - Suppose the voltage waveform shown in Fig. P2.77...Ch. 2 - For the circuit of Problem 2.80, generate a bounce...Ch. 2 - In response to a step voltage, the voltage...
Knowledge Booster
Learn more about
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 502 transmission line is terminated with a 502 resistor on series with a 2 * 10 H inductor. If the frequency of the operation is 60 10° MHz find the reflection coefficient at the load. * Select one: O a. 0.36e56 О .1 O c.0.45e22 O d. 0.6e 37 Oe. 0arrow_forwardA transmitter has a power output of 10W at a carrier frequency of 250 MHz. It is connected by 10 m of a transmission line having a loss of 3 dB/100m to an antenna with a gain of 6 dBi. The receiving antenna is 20 km away and has a gain of 4 dBi. There is negligible loss in the receiver feedline, but the receiver is mismatched; the antenna and line are designed for a 50-2 impedance, but the receiver input is 75-2. assuming free-space propagation. А. Calculate the power delivered to the receiver, 204 nW В. 2040 nW С. 2.04 nW D. 20.4 nWarrow_forwardA transmitter with an output power of 50 W is connected to a matched load by 32 m of matched coaxial cable. It is found that only 35 W of power is dissipated in the load. Calculate the loss in the cable in decibels per 100 meters.arrow_forward
- Impedance 600 400 200 -200 400 -600 Resistance Reactance -800 20 30 40 50 60 70 80 90 100 110 120 Frequency (MHz) The input resistance and reactance of unknown antenna is given above, and it need to be match to 75-ohm coaxial cable. Which frequency (in MHz) would you operate this antenna at? Impedance (ohms)arrow_forwarda.What is the attenuation of 350 ft of RG-11 U coaxial cable at 100 MHz?b. A transmitter has an output power of 3 W that is fed to an antenna through an RG58A/U cable 20 ft long. How much power reaches the antenna?c. Two engineers have a disagreement over the selection of transmission line for connections within a 100m Data Centre on a project that is at risk for cost overrun. The first engineer is arguing in favor of using multi-mode fibre while the second engineer would like to use single mode fibre. You are the project engineer. Decide which of the two transmission lines to use and justify your answer.d. For typical silica optical fibres with ncore = 1.45 and Δ = 5 x 10-3, calculate nclad and NAe. For a typical silica fibre with D (@ λ = 1.3μm) = 2.5 nm ps/km and a semiconductor laser source centred on λ = 1.3μm with Δλ = 4nm: the bandwidth length BL ≈ 100 Gbps km (singlemode, step-index). What transmission speed is possible at a distance of 5km?f. A link from point a to point b is…arrow_forward2.9. You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In order to meet the desired objectives, the main lobe of the pattern should have a half-power beamwidth of 10 degrees. In order to expedite the design, it is assumed that the major lobe of the normalized radiation intensity of the antenna is approximated by U(0, 4) = cos"(0) and it exists only in the upper hemisphere (0 <0 < x/2,0 <¢ < 2n). Determine the: (a) Value of n (not necessarily an integer) to meet the specifications of the major lobe. Keep 5 significant figures in your calculations. (b) Exact maximum directivity…arrow_forward
- What is the distance between adjacent voltage minima? a. λ/3 b. λ/5 c. λ/2 d. λ/4 The location of maximum input impedance is the also the location of: a. maximum current b. maximum reflection c. maximum SWR d. maximum voltage It is the sum of the incident signal and the reflected signal. (LO2) a. standing waves b. return loss c. reflection coefficient d. mismatch lossarrow_forwardWhat is the value of the input impedance half wavelength from the load? a. ZL b. minimum c. maximum d. Zo For an open circuit line, the location of the first maximum current is ____. a. at the load b. λ/4 from the load c. 0.125λ from the load d. λ/2 from the load What is the phase difference between two points that are half wavelength apart? a. 90° b. 45° c. 180° d. 270°arrow_forwardQuestion 1 In this homework, you are supposed to design a WBFM generator using Armstrong method. The required WBFM should be able to transmit an audio signal of bandwidth 50HZ to 4kHz. Design an Armstrong indirect FM modulator to generate an FM signal with carrier 100 MHz and Af 200 kHz. A narrowband FM generator with fe = 100 kHz and 4f = 10 Hz is available. Only frequency tripplers are available as frequency multipliers. In addition, an oscillator with adjustable frequency from 22 to 26 MHz is also available for mixing, along with bandpass filters of any specification. Show your work to get full credit (labelled block diagram, complete calculations for local oscillator frequency etc.).arrow_forward
- HW2: You are using a transmission line with a characteristic impedance of 1002 to transmit a signal with a wavelength of 3m. What is the shortest antenna that would be impedance matched with this line?arrow_forwardsolve a and b a. Find the line characteristic impedance value so that the standing wave ratio is 1.5 in a lossless transmission line terminated with a resistive load of 100 ohms. b. A radio transmitter is connected to an antenna with an impedance of 80 + 40i by a coaxial cable with a characteristic impedance of 50 ohms. Since this transmitter with an impedance of 50 ohms can transfer 30W of power to a compatible load, how much power will it transfer to this antenna?arrow_forwardA coaxial cable (KG 59 100Ω) has a maximum voltage standing wave of 80 V and a minimum voltage of 20 V. The transmission source provides a signal with a voltage of 30 V and a current of 4A. Determine: a) the reflection coefficient, b) the standing wave ration, c) the value of a resistive load, d) the output power, and e) describe the relationship between the reflected incident voltage and the reflected incident power as a function of the reflection coefficient.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
How does an Antenna work? | ICT #4; Author: Lesics;https://www.youtube.com/watch?v=ZaXm6wau-jc;License: Standard Youtube License