Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 2, Problem 73P
To determine
The
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A piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.4 F/m, and 7.5 H inductance per meter. The diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 4.97. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?
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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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- It is desired to construct uniform transmission lines using polyethylene (εr = 2.25) as the dielectric medium. Assuming negligible losses, find the inner radius of the outer conductor (in mm) for a 76 Ω coaxial line, where the radius of the center conductor is 0.6 (mm).arrow_forwardTopic: Electromagnetic Waves. Please help with this question. The observed standing wave ratio on a 100 Ω lossless line is 8. If the first voltage maximum occurs at 0.3λ from the load, calculate ZL and voltage reflection coefficient at the load.arrow_forwardA 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.arrow_forward
- A transmission line has characteristic impedance of 75 Ω and it is connected to receiver with ??=100−?50 Ω, using smith chart to find:i. Reflection Coefficient;ii. VSWRarrow_forwardA transmission line has an inductance of 4 mH/loop km and a capacitance of 0.004µF/km. Determine, for a frequency of operation of 1 kHz, the phase delay, the wavelength on the line, and the velocity of propagation (in metres per second) of thearrow_forwardA load has a reflection coefficient of 0.5 when referred to 50 Ω. The load is at the end of a line with a 50 Ω characteristic impedance.(a) If the line has an electrical length of 45 degrees, what is the reflection coefficient calculated at the input of the line?(b) What is the VSWR on the 50 Ω line?arrow_forward
- A parallel-wire transmission line has separation between conductors equal to four times the conductor diameter. If the dielectric material separating the two conductors is Foam Polystyrene with a velocity factor equal to 0.91, what is the characteristic impedance of the transmission line?arrow_forward1. What is the necessary condition for matching transmission lines? In addition, what is a micro strip line? 2. For a distortion less line α = 0.02dB/m, Z0 (R0) = 60Ω and C = 0.2nF/m. Find the resistance and velocity of wave propagation. [Do not forget the units.] 3. For a finite lossless transmission line with open-circuit termination, sketch Xio vs l. Indicate where the sketch is inductive and capacitive.arrow_forwardIt is desired to construct uniform transmission lines using polyethylene (εr = 2.25) as the dielectric medium. Assuming negligible losses, find the distance of separation (in mm) for a 308 Ω two–wire line, where the radius of the conducting wires is 0.6 (mm).arrow_forward
- The observed standing wave ratio on a 100 Ω lossless line is 8. If the first voltage maximum occurs at 0.3λ from the load, calculate ZL and voltage reflection coefficient at the load.arrow_forwardThe effect of rain attenuation at high frequencies is minimized if vertical polarization is used. Select one: True Falsearrow_forwardA lossless coaxial cable transmission line has L = 200 uH/ft and C = 100 nF/ft. The inner diameter of the outer conductor is 3 cm and the diameter of the inner conductor is 1 cm. What is the dielectric constant of the insulator?arrow_forward
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