Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 2.6, Problem 5E
For a lossless transmission line, λ = 20.7 cm at 1 GHz. Find
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10. A piece of quarter wavelength transmission line is inserted between a load
of 100ohm and another transmission line of Zo=50. Then, the characteristic
impedance and length of the quarter wavelength transmission line at 1GHz are
70.71 ohm and 300mm
70.71 ohm and 50mm
70.71 ohm and 75mm
None of them
50ohm and 75mm
If the amplitude of the input reflection coefficient is 0.5 with an angle of 45 degrees and the length of the transmission line is I= 0.15A, find the impedance of the load. (Z0=50ohm)
Zin =?
SWR=?
YL=?
ZL=?
For a 0.4X-long 50 12 lossless transmission line, find the following quantities (i-v) separately for the two load impedances: the wavelength is 10 cm and the dielectric constant of
the insulating medium of the transmission line is 2.25
a. ZL
b. ZL
(60+ j50)
(40 - j30)
i. The reflection coefficient at the load
ii. The standing wave ratio on the line
iii. The distance from the load to the first voltage minimum
iv. The distance from the load to the first voltage maximum
v. The input impedance, Zin-
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...
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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
- I need the answer as soon as possiblearrow_forwardA 500 transmission line is biased with a load with impedance ZL=100-j200n. Its wavelength is 12cm. a-The reflection coefficient in the load. b-The standing-wave ratio on the line. C-The voltage maximum position closest to the load. d-Determine the current maximum position closest to the load.arrow_forwardCalculate the guided intrinsic impedance at 20 GHz for the lowest-order mode of therectangular waveguide with dimensions a=0.7 in and b=0.3 in.Take relative permittivity as 2.76.arrow_forward
- Electrical Engineering 4) If a TM polarized wave is obliquely incident from air (z 0). If the incident angle is 10 degree and transmission angle is 15 degrees Derive an equation for the transmission coefficient and apply the values givenarrow_forwardQ1:Draw the standing wave pattern for a transmission line with a characteristic impedance of Zo that is connected to a short circuit load. In your answer show clearly the electrical distances, as a function of wavelength (A), between the successive minimums and maximums voltage and current. If the load is replaced by ZR= Zo, what will happen to this pattern? and why? Q2: A lossless transmission line of electric length = 0.434 λ, and characteristic impedance 100 , is terminated in a load impedance 260+j180. Find: (a) The reflection coefficient at the load () (b) The Standing Wave Ratio (SWR). (c) The input impedance (Zin).arrow_forwardIf in a rectangular waveguide for which a = 2b, the cutoff frequency for TE2 mode is 12 GHz, the cutoff frequency for TM mode is (a) 3 GHz (b) 3V5 GHz (c) 12 GHz (d) 6V5 GHz (e) None of the abovearrow_forward
- A coaxial cable has an inner conductor diameter of 0.04" and an outer diameter of 0.2 inches. The center conductor is copper, and the dielectric material is polyethylene with relative permittivity of 2.24 and a loss tangent of 0.0006 at 2GHZ. a. What is the wave propagation velocity in this coax? b. What is the value of the attenuation constant due to copper at 2 GHz? c. What is the value of the attenuation constant due to dielectric losses at 2GHZ? d. If we want to have at least 50% of the input power delivered to a match load, what would be the maximum cable length if the voltage at the input to the cable is 10 V at 2 GHz?arrow_forwardHelp....arrow_forwardWhat 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_forward
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