Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 2.10, Problem 23CQ
To determine
The method to find the normalized admittance by using Smith Chart.
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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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- A transmission line of characteristic impedance 40 ohms and length 6.2λ is terminated by an unknown load impedance. The reflection coefficient, Γ, looking into the transmission line at the input is 0.45+j0.55 What is the unknown load impedance?arrow_forwardThe magnitude of the phasor voltage on a lossless air transmission line connecting a transmitter to a reci=eiver is shown below. The transmission line impedance is 50 ohms. The sinusoidal generator operates at a frequency of 3 GHz. The load is at position z = 0. The first minima at point A (|V|_min = 0V) occurs at d = 1.25 cm from the load towards the generator. a. What is the Voltage Standing Wave Ratio (VSWR) of this line? What is the reflection coeddicient a the load in phasor format (magnitude and phase)? b. What is the physical distance from point C to D in meters? c. What is the magnitude of the reflection coefficient |Γ (at C)| at point C? d. What is the wave impedance (resistance and reactance) and the reflection coefficient (phase and magnitude) at point C.arrow_forwardA 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_forward
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- 9. Assume a transmission line with ZL = 85 + j45 Ω and Zo = 30 Ω. If the frequency of the line is 1.5GHz, use the Smith Chart to find: i) the reflection coefficient; ii) the distance to the first voltage maximum; iii) the voltage standing wave ratio; iv) the admittance of the load; v) the position of the short-circuited stub on the main line for a perfect impedance matching; vi) the length of the short-circuited stub. (Show all steps on the Smith chart)arrow_forwardA transmission line has characteristic impedance of 75 Ω and it is connected to receiver with Zr= 100 − ?50 Ω, using smith chart to find: i. Reflection Coefficient; ii. VSWRarrow_forwardIn the transmission line below, Z0=50 ohm operating frequency is 100MHz and wave speed is given as v=10^8 m/s. If d=46cm and l=14cm are chosen to avoid any back reflection in the transmission line, the load impedance ZL=?arrow_forward
- 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=?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 system has a forward power of 60 W, reflected power of 3 W, and transmission line loss of –3 dB. What will be the observed loss on the ground? A system has a forward power of 200 W and a reflected power of 15 W, what is the return loss?arrow_forward
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