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
Question
Chapter 2.11, Problem 24CQ
To determine
The minimum required number of degrees of freedom to match arbitrary load impedance to a lossless transmission line through a matching network.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a) A lossless airline (1) coaxial cable with characteristic impedance of
5052 is operated at 500MHz. If the VSWR = 5 and the first minimum is 6cm
from the load, determine the load impedance.
1.
It is desired to match an 80 2 load to a 50 2 transmission line. Calculate:
The value of a single resistor that can accomplish this over all frequencies.
The values of two lossless (reactive) components that can accomplish this at a
frequency of 400 MHz.
The characteristic impedance of a quarter-wavelength transformer that can
accomplish this at a given frequency.
The charactersitic and load impedances of a lossless transmission
Line are to and Z₁ = = = = = ₁²
a- Determine the voltage reflection coefficient at the load.
Determine the voltage at the load, determine the power
Consumed by the load.
b. what is the power reflection coefficient defined by the ratio
power reflected
incident 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
Similar questions
- 1. On a lossless 500 coaxial transmission line with a shorted load: a. a voltage minimum will occur at the load. b. a current maximum will occur at the load. c. a voltage maximum will occur A/4 back from the load. d. the voltage and current are in phase. e. the voltage and current are 90⁰ out of phase. f. the standing wave moves toward the source.arrow_forwardThe input impedance of lossless /8 transmission line with other end open circuited is given by. characteristic impedance Ze = 50N) (Assumearrow_forwardA lossless transmission line is terminated with a load impedance of 200 N. The VSWR on the line is known to be 1.5. Find the characteristic impedance of the line. List all possible solutions.arrow_forward
- 4- The charactersitic and load impedances of a lossless transmission Line are to and Z₁ = // Z₁. 1 a- Determine the voltage reflection coefficient at the load. Determine the voltage at the load, determine the power Consumed by the load. b. what is the power reflection coefficient defined by the ration power reflected incident powerarrow_forwardA lossless transmission line has Z₁ = 100 Q, terminated by an unknown impedance. The termination is found to be at a maximum of the voltage standing wave, and the Voltage Standing Wave Ratio (VSWR) is 5. The value of the terminating impedance isarrow_forwardA lossless transmission line has a capacitance per unit length of 90 uF/m (microFarad/meter) and an inductance per unit length of 1 nH/m. The load impedance ZI is purely resistive. Both the load impedance and the generator impedance are 50 ohms. Source voltage amplitude is unknown at this point. Find the characteristic impedance and the propagation velocity for this transmission line!arrow_forward
- A lossless transmission line of electrical length l = 0.23A is terminated in a load impedance of Z, - (51 + j35) N. If Z = 96 N, find I and enter the angle in degrees. ZT = degreesarrow_forwardThe characteristic impedance of a lossless line is 50 ohm and the length of the line is half wavelength. The impedance of the load connected to the end of the line is 75 Ohm. Find the impedance visible from the beginning of the line. A) 50ohm B) -j*25 ohm C) 25 ohm D) j*50ohm E) 75 ohmarrow_forwardA lossless 60 ohm line is terminated by a 60+j60 ohm load .If Zin =120- j60ohm. How far (in term of wavelength) is the load from generator.arrow_forward
- A lossless transmission line operating at 50 MHz has a surge impedance (40 + j0) ohms and a propagation constant of (0 + j0.5π) per meter. Determine the equivalent capacitance (in uH) of the line. Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an integer).arrow_forwarda line characteristic impedance 600 ohm and 3 db loss is a half wavelength .it is fed by a source of emf 5v and impedance 1 kilo ohm and is terminated by aload 0f 400 ohms impedance .calculate the load voltage ..arrow_forwardA lossless 50 ohms transmission line is connected to unknown load impedance. Voltage measurements along the line reveal that the maximum and minimum voltage values are (√2+1)volts and (√2−1) volts respectively. The distance at which maximum voltage is observed has been found to be (15 lamnda(?))/(16). Determine:i. The load reflectionii. Load impedanceiii. The distance (in units of lamnda ?) at which first voltage minimum will be observedarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning