EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 9780100801790
Author: Riedel
Publisher: YUZU
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Chapter 13.4, Problem 9AP
a.
To determine
Derive the numerical expression for the transfer function
b.
To determine
Find the numerical values of poles and zeroes.
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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 13 Solutions
EBK ELECTRIC CIRCUITS
Ch. 13.2 - Prob. 1APCh. 13.2 - The parallel circuit in Example 13.1 is placed in...Ch. 13.3 - Prob. 3APCh. 13.3 - The energy stored in the circuit shown is zero at...Ch. 13.3 - The dc current and dc voltage sources are applied...Ch. 13.3 - Prob. 6APCh. 13.3 - Using the results from Example 13.7 for the...Ch. 13.3 - The energy stored in the circuit shown is zero at...Ch. 13.4 -
Derive the numerical expression for the transfer...Ch. 13.5 - Find (a) the unit step and (b) the unit impulse...
Ch. 13.5 - The unit impulse response of a circuit is
υo(t) =...Ch. 13.7 - The current source in the circuit shown is...Ch. 13.7 - For the circuit shown, find the steady-state...Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - An 8 kΩ resistor, a 25 mH inductor, and a 62.5 pF...Ch. 13 - Prob. 6PCh. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 13PCh. 13 - Prob. 15PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 25PCh. 13 - Prob. 28PCh. 13 - The switch in the circuit seen in Fig. P13.32 has...Ch. 13 - Prob. 31PCh. 13 - Prob. 33PCh. 13 - Prob. 35PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Find the transfer function H(s) − Vo/Vi for the...Ch. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - The operational amplifier in the circuit in Fig....Ch. 13 - Find the transfer function Io/Ig as a function of...Ch. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Assume the voltage impulse response of a circuit...Ch. 13 - Prob. 68PCh. 13 - The input voltage in the circuit seen in Fig....Ch. 13 - Find the impulse response of the circuit shown in...Ch. 13 - Prob. 73PCh. 13 - Prob. 74PCh. 13 - Prob. 75PCh. 13 - The op amp in the circuit seen in Fig. P13.81 is...Ch. 13 - Prob. 78PCh. 13 - The transfer function for a linear time-invariant...Ch. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Prob. 82PCh. 13 - Prob. 84PCh. 13 - Prob. 85PCh. 13 - The parallel combination of R2 and C2 in the...Ch. 13 - Show that if R1C1 = R2C2 in the circuit shown in...Ch. 13 - The switch in the circuit in Fig P13.91 has been...Ch. 13 - Prob. 90PCh. 13 - Prob. 91P
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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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