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 6.48P
(a)
To determine
The width of line for a microstrip circuit.
(b)
To determine
The length of stubs
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Students have asked these similar questions
5-A lossless T.L. has Zo = 100 Q and is loaded by ZL. The VSWR = 2. The first two
voltage minima are located at z= -10 and -35 Cm from the load where z = 0.
Determine ZL.
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)
Propagation Constants and Characteristics impedance are secondaryconstants of transmission lines. Discuss their effects on signal propagation.
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 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.arrow_forward3. 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…arrow_forward6.6. In the power system network shown in Figure 6.5, bus 1 is a slack bus with V = 1.020° per unit and bus 2 is a load bus with S2 = 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. (a) Using Gauss-Seidel method, determine Va. Use an initial estimate of V 1.0 + j0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V, = 0.90 j0.10, determine S, and the real and reactive power loss in the line. %3D S1 Z12 0.02+ j0.04 2 1 S2 280 MW +j60 Mvararrow_forward
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