Explanation Given data: The characteristic impedance of a lossless transmission line is 150 Ω . The distance of first voltage minimum from the load is 3 cm . The distance of first voltage maximum from the load is 9 cm . The value of voltage standing wave ratio is 3 . Calculation: The location of voltage minimum nearest the load is given as, d min = d max − λ 4 Here, d min is the distance of first voltage minimum from the load, d max is the distance of first voltage maximum from the load, and λ is the wavelength. Substitute 9 for d max and 3 for d min in the above formula. 3 = 9 − λ 4 λ 4 = 6 λ = 24 cm The phase constant is given as, β = 2 π λ Here, β is the phase constant. Substitute 24 for λ in the above formula. β = 2 π 24 = π 12 rad/m The formula for the magnitude of the reflection coefficient is, | Γ | = S − 1 S + 1 Here, S is the voltage standing wave ratio and | Γ | is the magnitude reflection coefficient. Substitute 3 for S in the above formula. | Γ | = 3 − 1 3 + 1 = 2 4 = 0.5 The angle of reflection coefficient is given as, θ r = 2 β d min − ( 2 n + 1 ) π Here, θ r is the angle of reflection coefficient and n is the number. For the first minimum, the value of n will be 0 . Substitute 0 for n , π 12 for β , and 3 for d min in the above formula

Fundamentals of Applied Electromagnetics (7th Edition)

7th Edition

ISBN: 9780133356816

Author: Fawwaz T. Ulaby, Umberto Ravaioli

Publisher: PEARSON

See similar textbooks

Question

Chapter 2, Problem 21P

To determine

The value of ZL.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2, Problem 20P

Chapter 2, Problem 22P

Students have asked these similar questions

1. For the following logic gates: a. Write a Truth Table and logic equation? A Y A A. Y A Y "0" A A neotoof "0"> Day Y "1" A ADY DY A B DD A B b. What each of these gates represent? 2. Connect and draw the following digital logic equations: a. Y=X+1 b. Y=X+X' = \ c. Y=X X' d. Y=X 0 e. Y=XX' f. Y=XOX 3. Prove that: a. X(Y+Z)=XY+XZ b. X+YZ=(X+Y)(X+Z) c. (X+Y)'=X'Y' d. (XY)'=X'+Y e. X+XY=X f. X(X+Y)=X

I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems: Spectrum Representation)

I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems: A complex Numbers)

Chapter 2 Solutions

Fundamentals of Applied Electromagnetics (7th Edition)

Ch. 2.2 - What is a transmission line? When should...Ch. 2.2 - Prob. 2CQ Ch. 2.2 - What constitutes a TEM transmission line?Ch. 2.2 - Prob. 4CQ Ch. 2.2 - Prob. 1E Ch. 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. 7CQ Ch. 2.6 - What is a standing-wave pattern? Why is its period...Ch. 2.6 - Prob. 9CQ Ch. 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. 7E Ch. 2.6 - Prob. 8E Ch. 2.6 - Prob. 10E Ch. 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. 12CQ Ch. 2.8 - Prob. 13CQ Ch. 2.8 - if the input impedance of a lossless line is...Ch. 2.8 - Prob. 12E Ch. 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. 16CQ Ch. 2.9 - What fraction of the incident power is delivered...Ch. 2.9 - Prob. 18CQ Ch. 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. 23CQ Ch. 2.10 - Use the Smith chart to find the values of ...Ch. 2.11 - Prob. 24CQ Ch. 2.11 - Prob. 25CQ Ch. 2.12 - What is transient analysis used for?Ch. 2.12 - Prob. 28CQ Ch. 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. 15P Ch. 2 - A transmission line operating at 125 MHz has Z0 =...Ch. 2 - Prob. 17P Ch. 2 - Polyethylene with r=2.25 is used as the insulating...Ch. 2 - Prob. 20P Ch. 2 - Prob. 21P Ch. 2 - Prob. 22P Ch. 2 - Prob. 23P Ch. 2 - A 50 lossless line terminated in a purely...Ch. 2 - Prob. 26P Ch. 2 - Prob. 27P Ch. 2 - Prob. 29P Ch. 2 - Prob. 30P Ch. 2 - Two half-wave dipole antennas, each with an...Ch. 2 - Prob. 34P Ch. 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. 47P Ch. 2 - Use the Smith chart to determine the input...Ch. 2 - Prob. 52P Ch. 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. 59P Ch. 2 - Prob. 62P Ch. 2 - Determine Zin of the feed line shown in Fig....Ch. 2 - Prob. 73P Ch. 2 - A 25 antenna is connected to a 75 lossless...Ch. 2 - Prob. 75P Ch. 2 - Prob. 76P Ch. 2 - Prob. 77P Ch. 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

SEE MORE QUESTIONS

Recommended textbooks for you

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,