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 6.47P
The top-down view of a microstrip circuit is shown in Figure 6.54. If the microstrip is supported by a 40-mil-thick alumina substrate, (a) determine the line width required to achieve a
Figure 6.54 The top-down view of an open-ended microstrip stub-matching circuit for Problems 6.47 and 6.48.
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Could you please go more in depth about how to create the ac equivalant model? thank you
An ac LVDT has the following data; input 6.3V,
output 5.2V, range ±0.50 cm. Determine:
a) Plot of output voltage versus core position for a
core movement going from +0.45cm to -0.03cm?
b) The output voltage when the core is -0.35cm from
the center?
c) The core movement from center when the output
voltage is -3V?
d) The plot of core position versus output voltages
varying from +4V to -2.5V.
1:0
ZMS
83
V
ZEB
F
Figure 6.14. Equivalent circuit for a linear reciprocal transducer using impedance parameters.
ZMs = ZMo(1 - k2)
(6.78)
where ZMs is defined as the short-circuit mechanical impedance, given by
FIU when V is zero, and the electromechanical coupling constant ke is given
by
TEM
ZEBZMO
(6.79)
Thus far, it seems we have manipulated a set of equations and then forced
a circuit model to match themn. That is exactly what we have done! When
we examine the linearization of nonlinear systems in the next chapter, we shall
apply this formulation to the electrostatic transducer of this chapter, which will
provide some intuition about the meaning of these symbols. In the mean time,
this exercise provides good opportunity for practice in manipulating circuits
that contain two-nort elements.
6.5 Use Kirchhoff's Laws and the characteristic equation for a transformer
in the circuit below to prove Eq. 6.78.
1:0
ZMS
ZEB
88 F2
V
F
ZMs =
Zмо(1 - к)
(6.78)
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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