Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 6, Problem 6.26P
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A 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?
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 lossless transmission line has a Zo of 50 ohms and a line velocity of 2.4 x 10^8 m/s. If the operating frequency is 1 MHz. Determine the capacitance in pf.
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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- A 300ᘯ transmission line is 0.8 m long and terminated with ashort circuit. The line is operating in air with a wavelength of 0.8m and is lossless. (a) If input voltage is 10V, what is themaximum voltage amplitude at any point on the line? (b) Whatis the current amplitude in the short circuit?arrow_forwardFor 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_forwardA 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.arrow_forward
- The following characteristics have been measured on a lossy transmission line at 100 MHz: Zo = 50 + j0, α = 8 dB/m, and β = 1.5 rad/m. Determine R, L, G, and C for the line. Show the details of your work. Paste your scanned solution to the space provided below.arrow_forwardA lossless transmission line is terminated by an open circuit. An incident signal travels from the source to the load gets reflected and travels all the way back to the source. It takes 6 microseconds for the signal to go from the source to the load and then from the load to the source. What is the length of the line (in m) if the propagation velocity is equal to the speed of light (in m/s)? Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an integer).arrow_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_forward
- The parameters of a lossless transmission line operating atf=95.493MHz are L′=0.45 μH/m, C′=25 pF/m. Determine: >α >β >γ (Express in rectangular form [radians]) >λ >Z_0arrow_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_forwardThe following lossless network is powered by a f=9 GHz microwave source. A matching circuit is designed for ZL=91 load and ZS. Since it is known that L=631,30220884613 pH here, what is ZS? π=3.1416arrow_forward
- 1. 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_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 0.4 wavelengths, what is input impedance?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_forward
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