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 3.38P
Use the unit output method to find K and
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If C is the circle |z|=4 evaluate ff(z)dz for each of the following
functions using residue.
Z
(a)f(z) = z²-1
Z+1
1
(b)f(z) =
=
(c)f(z)
=
z²(z+2)
z(z-2)³
z²
1
1
(d) f(z) =
=
(e) f(z) =
(f) f(z) =
(z²+3z+2)²
z²+z+1
z(z²+6z+4)
5. Answer the following questions. Take help from ChatGPT to answer these questions (if
you need). Write the answers briefly using your own words with no more than two sentences,
and check whether ChatGPT is giving you the appropriate answers in the context of our
class.
a) What is the Bode plot? What kind of input do we consider for the frequency-response-
based method?
b) What is the advantage of design using the frequency-response method?
c) Define gain margin, phase margin, gain crossover frequency, and phase crossover
frequency.
Phase (deg)
3. The Bode diagram of a system is shown below.
Magnitude (dB)
System: sys
-10
Frequency (rad/s): 0.141
Magnitude (dB): -15.6
-20
-30
40
-50
-60
0
-45
-90
-135
101
10°
Bode Diagram
System: sys
Frequency (radis): 10
Magnitude (dB): -18.9
System: sys
Frequency (rad/s): 10
Phase (deg):-52.2
101
Frequency (rad/s)
102
103
Find the steady-state output of the system for each of the following inputs.
a) u(t) = 100
b) u(t) 100 cos(10 t + 10°)
=
c) u(t) = 500 + 200 cos(10 t + 10°)
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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- Phase (deg) 270 4. Consider a closed-loop system with unity (negative) feedback. The Bode diagram of the open-loop transfer function is given below. Magnitude (dB) -500 -150 -50 10 dB System Frequency (eds): 6.63 Magnitude (B) 0.0778 Буку Frequency(): 10.1 Magnitude ()-705 Frequency(6.63 Phase (deg): -144 Frequency (rad): 10.1 Phase (deg): -180 101 Frequency (rad) a) Find the gain margin, phase margin, gain crossover frequency, and phase crossover frequency. b) Is the closed-loop system stable? What is the steady-state error for step-input?arrow_forwardelectric plantsarrow_forwardsolve and show workarrow_forward
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