EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119140320
Author: Toussaint
Publisher: VST
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Textbook Question
Chapter 3, Problem 3.34P
Find the proportionality constant
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Q1/Sketch the root locus for the system shown in Figure 1 and find the following:
a. The exact point and gain where the locus crosses the jo-axis b. The breakaway point
on the real axis c. The range of K within which the system is stable d. Angles of
departure and arrival
R(s) +
K(s²-4s +20)
C(s)
(s+2)(s + 4)
Exam2
Subject: (Numerical Analysis)
Class: Third
Date: 27/4/2025
Time: 60 minutes
Q1. For what values of k does this system of equations has no solution? (use Gauss-Jordan eliminations)
kx + y + z = 1
x+ky + z = 1
x+y+kz=1
Consider the Difference equation of a causal Linear time-invariant (LTI) system given
by: (y(n) - 1.5y(n - 1) + 0.5y(n = 2) = x(n)
a) Implement the difference equation model of this system.
b) Find the system transfer function H(z).
c) For an input x(n) = 8(n), determine the output response y(n).
d) Verify the initial value theorem y(0) with part (c).
Chapter 3 Solutions
EBK THE ANALYSIS AND DESIGN OF LINEAR C
Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - (a) Formulate node-voltage equations for the...Ch. 3 - Choose a ground wisely and formulate node-voltage...Ch. 3 - The following are a set of node-voltage equations;...Ch. 3 - Choose a ground wisely and formulate node-voltage...Ch. 3 - Formulate node-voltage equations for the circuit...Ch. 3 - Formulate node-voltage equations for the circuit...
Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - (a) Formulate mesh-current equations for the...Ch. 3 - Prob. 3.16PCh. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - For the circuit of figure P3-19 solve for iA,iB,...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - The circuit in Figure P3-21 seems to require two...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Use simple engineering intuition to find the input...Ch. 3 - In Figure P3-24 all of the resistors are 1k and...Ch. 3 - Use Figure P3-24 and MATLAB to solve the following...Ch. 3 - Formulate mesh-current equations for the circuit...Ch. 3 - Find vO for the block diagram shown in figure...Ch. 3 - Design a voltage-divider circuit that will realize...Ch. 3 - Design a current-divider circuit that will realize...Ch. 3 - Using a single resistor, design a circuit that...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Find the proportionality constant K=iO/vS for the...Ch. 3 - Find the proportionality constant K=vO/iS for the...Ch. 3 - Find the proportionality constant K=iO/iS for the...Ch. 3 - Find the proportionality constant K=vO/vS for the...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K and vO in...Ch. 3 - Use the unit output method to find K in Figure...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - Use the superposition principle to find vO in...Ch. 3 - (a) Use the superposition principle to find vO in...Ch. 3 - A linear circuit containing two sources drives a...Ch. 3 - A block diagram of a linear circuit is shown in...Ch. 3 - A certain linear circuit has four input voltages...Ch. 3 - When the current source is turned off in the...Ch. 3 - For the circuit in Figure P3—51, find the Thévenin...Ch. 3 - For the circuit in Figure P3—52, find the Thévenin...Ch. 3 - For the circuit of Figure P3—53, find the Thévenin...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin or Norton equivalent circuit...Ch. 3 - Find the Thévenin equivalent circuit seen by RL in...Ch. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - You need to determine the Thévenin equivalent...Ch. 3 - Find the Thévenin equivalent seen by RL in figure...Ch. 3 - The purpose of this problem is to use Thévenin...Ch. 3 - The circuit in Figure P3-62 was solved earlier...Ch. 3 - Assume that Figure P3-63 represents a model of the...Ch. 3 - The iv characteristic of the active circuit...Ch. 3 - You have successfully completed the first course...Ch. 3 - The Thévenin equivalent parameters of a practical...Ch. 3 - Use a sequence of source transformations to find...Ch. 3 - The circuit in Figure P3-68 provides power to a...Ch. 3 - A nonlinear resistor is connected across a...Ch. 3 - Prob. 3.71PCh. 3 - Find the Norton equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - Find the Thévenin equivalent seen by RL in Figure...Ch. 3 - For the circuit of Figure P3-75, find the value of...Ch. 3 - For the circuit of Figure P3-76, find the value of...Ch. 3 - The resistance R in Figure P3-77 is adjusted until...Ch. 3 - When a 5-k resistor is connected across a...Ch. 3 - Find the value of R in the circuit of Figure P3-79...Ch. 3 - For the circuit of Figure P3-80, find the value of...Ch. 3 - A 1-k load needs 10 mA to operate correctly....Ch. 3 - A practical source delivers 25 mA to a load. The...Ch. 3 - A 10-V source is shown in Figure P3-83 that is...Ch. 3 - (a)Select RL and design an interface circuit for...Ch. 3 - The source in Figure P3-85 has a 100-mA output...Ch. 3 - Figure P3-86 shows an interface circuit connecting...Ch. 3 - Prob. 3.87PCh. 3 - In this problem, you will design two interface...Ch. 3 - Two teams are competing to design the interface...Ch. 3 - The bridge-T attenuation pad shown in FigureP3-90...Ch. 3 - Design two interface circuits in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-91 so...Ch. 3 - Design the interface circuit in Figure P3-93 so...Ch. 3 - It is claimed that both interface circuits in...Ch. 3 - Audio Speaker Resistance-Matching Network A...Ch. 3 - Interface Circuit Design Using no more than three...Ch. 3 - Battery Design A satellite requires a battery with...Ch. 3 - Design Interface Competition The output of a...Ch. 3 - Prob. 3.106IP
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