Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Chapter 6, Problem 6.17P
The input impedance for a 30.-cm length of lossless
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An extra high voltage transmission line of length 300 km can be approximated by a lossless line having propgation constant is 0.00127 rad/km. The percentage ratio of line length to wave length will nearly by ?
A 50Ω lossless transmission line is terminated with a load impedance valued ZL = RL + jXL.According to what is given,
a) RL for Voltage Standing Wave Ratio to be 2What should be the relationship between XL and?b) If RL = 100Ω, find the value of XL.c) Find the voltage minimum point closest to the load on the line.
Stuck on this practice study question. How do solve this transmission problem?
A lossless 50-ohm transmission line is terminated in a short circuit. Use the Smith chart to determine:
a. The input impedance at a distance 2.3λ from the load.
b. The distance from the load at which the input admittance is Yin= -j0.04 S
Chapter 6 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Modify (6.3) to include internal inductance of the...Ch. 6 - Prob. 6.5PCh. 6 - The specifications for RG-214 coaxial cable are as...Ch. 6 - For the RG-214 coax of Problem 6.6 operating at...Ch. 6 - If 1.0 W of power is inserted into a coaxial...Ch. 6 - Starting with a 1 .0-mm-diameter solid copper...Ch. 6 - A coaxial cable has a solid copper inner conductor...Ch. 6 - Prob. 6.11P
Ch. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - A source with 50- source impedance drives a 50-...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - The input impedance for a 30.-cm length of...Ch. 6 - For the lossless T-line circuit shown in Figure...Ch. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Repeat Problem 6.14 using the Smith Chart.Ch. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - On a 50- lossless T-line, the VSWR is measured as...Ch. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Referring to Figure 6.20, suppose we measure...Ch. 6 - A matching network, using a reactive element in...Ch. 6 - A matching network consists of a length of T-line...Ch. 6 - You would like to match a 170- load to a 50-...Ch. 6 - A load impedance ZL=200+j160 is to be matched to a...Ch. 6 - Repeat Problem 6.34 for an open-ended shunt-stub...Ch. 6 - A load impedance ZL=25+j90 is to be matched to a...Ch. 6 - Repeat Problem 6.36 for an open-ended shunt-stub...Ch. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - The top-down view of a microstrip circuit is shown...Ch. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Actual pulses have some slope to the leading and...Ch. 6 - Prob. 6.59P
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- For the lossless transmission line shown below, the T.L. was previously charged to E=128V and the switch is closed at t=0. If Zo= 150 ohms and RL= 450 ohms, find the following VRL at t=3To VRL at t=To First reflected voltage from the load (Vr-)arrow_forwardAn extra high voltage transmission line of length 300 km can be approximate by a lossless line having propogation constant β= 0.00127 radians per km. Then the percentage ratio of line length to wavelength will be given by ??arrow_forwardA lossless coaxial cable with L = 0.5 uH/ft and C = 100 pF/ft is terminated by a 100-ohm resistive load. What is the characteristic impedance of the quarter-wavelength line that can be used for impedance matching?arrow_forward
- A 50-ohm lossless transmission line is terminated by a 100-ohm resistive load and is operated at 100 MHz. At an electrical length of 0.4 wavelengths, what is input impedance?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_forwardEstimate the characteristic impedance and propagation constant of a lossless transmission line in terms of the transmission line parameters (Resistance per unit length etc.).arrow_forward
- . A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation 50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is providedarrow_forwardA 50-ohm lossless transmission line is terminated by a 100-ohm resistive load and is operated at 100 MHz. At an electrical length of 0.8 wavelengths, what is input admittance?arrow_forwardQ1) A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart.(b) Compute the input impedance using the transmission line input impedance equation.arrow_forward
- prove that a maximum power is transferred from a voltage source with an internal impedance Zg to a load impedance Zl over a lossless transmission line when Zg=Zi conjugate.what is the maximum power transfer efficiency?arrow_forwardA lossless transmission line has 100 ? characteristic impedance. The line is terminated in a load impedance of 70-j100 ?. The maximum voltage measured on the line is 200V. Find;1. The minimum current and minimum voltage on the line2. Explain how location of voltage maximum can be determined by using load reflection coefficient from the forward and backward wave.3. Using load reflection coefficient in ii., calculate the distance from the load that produce the maximum voltage and current.arrow_forwardA lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2μH/m and C = 80 pF/m. The line is terminated by a load ZL = 50 + j20 Ω. Determine the: (a) reflection coefficient ; (b) SWR ; (c) the input impedance of the line. (d) What average power is delivered to ZL if the input voltage is 100 V?arrow_forward
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