Fundamentals of Electromagnetics with Engineering Applications
5th Edition
ISBN: 9780471263555
Author: Stuart M. Wentworth
Publisher: John Wiley & Sons
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Textbook Question
Chapter 6, Problem 6.32P
A matching network consists of a length of T-line in series with a capacitor. Determine the length (in wave lengths) required of the T-line section and the capacitor value needed (at 1.0 GHz) to match a
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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 100 ohm transmission line powered by a 1 GHz source and terminated with a load impedance of ZL = 60 + j50 ohms will be matched with an open-circuit series side. What should be the length, in cm, of the serial lateral line calculated using the Smith diagram?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_forwardSince a 50 ohm transmission line with phase constant (π/10) rad/m will be used at 500 MHz, what is the inductance of the line per unit length, in nH/m?arrow_forward
- If a transmission line has a characteristic impedance of 90 ohms and a propagation constant of j0.9 1/m, how many ohms will the line's series impedance be at 1 GHz?arrow_forwardI want a solution for branches A and B, pleaseA) Determine the primary constants, R, L, G, and C for a distortion-less line working at 300 MHz. Given that the line has characteristic impedance, Zo=750, attenuation constant a=0.12Np/m, and wave velocity, v=1.4×10 m/sB) A lossless transmission line used in a TV receiver has a capacitance of 50 pF/m and an inductance of 200 nH/m. Find the characteristic impedance for sections of a line 10 meter long and 500 m long.arrow_forwardSince S = 1.7 in a transmission line to be used at 2 GHz; What is the length, in cm, of the parallel lateral line required to match the transmission line to the load impedance?arrow_forward
- A 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_forwardFind out the general solution for a transmission line due to transient voltage,where ,e = f(x-at) + F(x+at)arrow_forwardA wireless communication system has a trasmit power Pt = 10 mW. Through extensive measurements, the path gain of the system at the reference distance is determined to be -32 dB, and the path loss exponent to be 3.8. Using the simplified path loss model, find the received power in mW at distance 200 meters from the transmitterarrow_forward
- QI/ A lossless coaxial cable of 170 mm long has the parameters L — 245 nWm andC — 200 pF/m. The operating frequency is f —I GHz and the line is terminated by ZL —100 Q, determine:A) The characteristic impedance.B) The input impedance at the input terminals of the line.C) The standing wave ratio on the line.arrow_forwardThe capacitance per unit length and the characteristic impedance of a lossless transmission line is C and Zo, respectively. Find the velocity of a travelling wave on the transmission line.arrow_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_forward
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How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License