Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 6, Problem 6.20P
To determine
The voltage at both ends of transmission line.
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Find the characteristic impedance and signal velocity for a transmission line consisting of two parallel strips with a width ω and a separation d. You can ignore fringing fields by assuming that they are sections of concuctors infinitely wide.
A time domain reflectometer (TDR) of output impedance 50- sends a step
voltage down a 50-2 transmission line that is terminated in an unknown
resistive load and displays the voltage at the sending end of the line, Figure
Q6a. The line's insulating material has a relative permittivity, &= 2.25.
Determine:
Q6
(a)
(i)
the source voltage of the TDR,
(ii)
the length of the line, and
(iii)
the load resistance.
V(0,t)
6 V-
3 V-
12 us
Figure Q6a
(b)
The TDR in part (a) is now connected to a metre-long 50 Q transmission line
which is terminated in a load of 100 N. Calculate and sketch the voltage at the
source for timet = 0 to t = 15 ns, given that the velocity of propagation on the
line is 2 x 10 m/s.
will
P6.10. Time-domain analysis of a transmission-line system for a rectangular pulse
excitation. For the system of Problem P6.8, assume that the voltage source is
of 0.3
us duration instead of being of infinite duration. Find and sketch the
line voltage and line current versus z for t = 1.2 μs and t = 3.5 μs.
S
t=0
90 Ω
Vg(t)
FIGURE
From problem 6.8
For Problem 6.10
z= 0
Z₁ = 6002
T= 1 μs
180 Ω
z=1
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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