Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 6, Problem 6.10P
A coaxial cable has a solid copper inner conductor of radius
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3. Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists
of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer
conductor. A dielectric fills the region between these conductors.
Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It
has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20,
and an outer conductor with an inner diameter of 3.7084 mm.
Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial
cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then
use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the
inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute
the…
A coaxial cable is 10 meters long, and is filled with lossless Teflon, having a relative
permittivity of 2.1. There is a matched load at the end of the line (this means that there is no
reflection at the end, so there is only a signal traveling in the + z direction). At the input of the
line, a sawtooth waveform is applied, having a peak voltage of 1.0 [V] and a duration of 1.0
[ns] (the time from the beginning of the waveform until the end). Make a plot (versus time) of
what an oscilloscope would read if it were connected to the line at various locations,
corresponding to the following values of z: 0.0 [m], 1.0 [m], 5 [m], 10 [m]. Plot out to 50 [ns]
1
An antenna with a radiation resistance of 48
ohms, a loss resistance of 2 ohms, and a
reactance of 50 ohms is connected to a
generator with open-circuit voltage of 10 V
and internal impedance of 50 ohms via a
N4-long transmission line with
characteristic impedance of 100 ohms. The
power radiated by the antenna is
..... ..
0.1384w
0.1384dB
0.148dB
0.148w
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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- In 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_forwardA lossless transmission line (TL) has a characteristic impedance of Zo= 250 2, a load impedance of ZR = 125 - j150 2 and its operating frequency is fo = 150 MHz. Use Smith chart to evaluate the following parameters: 1) The load admittance YR. 2) The reflection coefficient |KR|Z0R 3) The voltage standing wave ratio (VSWR). Then calculate the maximum and minimum impedance in this TL, (Zmax and Zmin). 4) The distance from load to the nearest maximum (dmax) and minimum voltage positions (dmin) (in meter). 5) Find Zd at a distance away from a load by d= 3.3 2. Then calculate Zd using TL equation. %3D 1244 d ENG O Type here to searcharrow_forwarda rectangular air-filled copper waveguide with dimension 2.28 cm x 1.01 cm across section and 30.48 cm length is operated at 9.2 GHz with a dominant mode. Find a)characteristic impedance b) attenuattion in dBarrow_forward
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