Mastering Engineering with Pearson eText -- Standalone Access Card -- for Electrical Engineering: Principles & Applications
7th Edition
ISBN: 9780134486970
Author: Allan R. Hambley
Publisher: PEARSON
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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°)
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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
- z+4 What is the value of cz²+2z+5 dz a) If C is the circle |z|=1. c) If C is the circle |z+1+i|=2. b) If C is the circle |z+1-i|=2.arrow_forwardApplication of Complex Inversion Integral for Inverse Z-transform Find Z-1 (z-1)(z-2) }arrow_forwardz+4 What is the value of cz²+2z+5 a) If C is the circle |z|=1. dz b) If C is the circle |z+1-i|=2. c) If C is the circle |z+1+i|=2.arrow_forward
- z+4 What is the value of √cz²+2z+5 dz Sc a) If C is the circle |z|=1. c) If C is the circle |z+1+i|=2. b) If C is the circle |z+1-i|=2.arrow_forwardz+1 What is the value of Sc 73. C -2z² 3-zzz dz i) ii) iii) If C is the circle |z|=1. If C is the circle |z-2-i|=2. If C is the circle |z-1-2i|=2.arrow_forwardApplication of Complex Inversion Integral for Inverse Z-transform Find Z-1 {(2-1)(2+2)}arrow_forward
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