Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Chapter 13, Problem 23P
At resonance,
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Q2. Figure Q2 shows a block diagram with an input of C(s) and an output R(s).
a)
C(s)
K₁
R(s)
K2
1 + 5s
1+2s
Figure Q2. Block diagram of control system.
Simply the block diagram to get the transfer function of the system C(s)/R(s).
b)
What is the order of the system?
c)
What is the gain of the system?
d) Determine the values of K₁ and K₂ to obtain a natural frequency w of
0.5 rad/s and damping ratio of 0.4.
e) What is the rise time and overshoot of the system with a unit step input?
Q4.
a) A purely derivative controller (i.e. with a zero at the origin only) is defined
by an improper transfer function. Considering its asymptotic behaviour,
explain why a purely derivative controller is difficult to implement in
practice. Relate your explanation to the potential limitations on system
performance.
b) Discuss the potential issues faced by a control system with a large cut-off
frequency. Relate your discussion to the implications on system
performance.
c)
The transfer function of a lag compensator is given by
2
KPID(S) = 2.2++0.2s
S
By using the asymptotic approximation technique:
(i) Obtain the standard form and corner frequency for each individual
component of KPID(S).
(ii) Clearly describe the asymptotic behaviour of each individual
component of KPID(S).
Module Code: EN2058
Q1. a) List the advantages and disadvantages of a closed loop system compared to
an open loop system.
b)
c)
What is the procedure for designing a control system for a bread toaster?
An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R1 R2
v₁(t)
R3 C1
vo(t)
R₁ =R2 = 10 k
R3 = 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
(iii) Assuming zero initial conditions, obtain the impulse and ramp responses
of the circuit from the step response derived in (ii). Sketching is not
needed.
Chapter 13 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 13 - A series RLC circuit can have a higher voltage...Ch. 13 - The impedance of a series RLC circuit is dependent...Ch. 13 - Above the resonant frequency, series resonant...Ch. 13 - Prob. 4TFQCh. 13 - Prob. 5TFQCh. 13 - The upper and lower cutoff frequencies of a...Ch. 13 - Prob. 7TFQCh. 13 - The Q of a band-pass filter does not affect the...Ch. 13 - Prob. 9TFQCh. 13 - Prob. 10TFQ
Ch. 13 - Prob. 1STCh. 13 - The phase angle of a series RLC circuit at...Ch. 13 - The impedance at the resonant frequency of a...Ch. 13 - In a series RLC circuit that is operating below...Ch. 13 - Prob. 5STCh. 13 - Prob. 6STCh. 13 - Prob. 7STCh. 13 - Prob. 8STCh. 13 - Prob. 9STCh. 13 - Prob. 10STCh. 13 - Prob. 11STCh. 13 - Prob. 12STCh. 13 - A certain series RLC circuit operates at a...Ch. 13 - Find the impedance in Figure 13-66.Ch. 13 - If the frequency of the source voltage in Figure...Ch. 13 - For the circuit in figure 13-66, find Itot,VR,VL,...Ch. 13 - Draw the voltage phasor diagram for the circuit in...Ch. 13 - Analyze the circuit in Figure 13-67 for the...Ch. 13 - For the circuit in Figure 13-66, is the resonant...Ch. 13 - For the circuit in Figure 13-68, determine the...Ch. 13 - Find XL,XC,Z, and I at the resonant frequency in...Ch. 13 - A certain series resonant circuit has a maximum...Ch. 13 - For the RLC circuit in Figure 13-69, determine the...Ch. 13 - What is the value of the current at the half-power...Ch. 13 - Determine the resonant frequency for each filter...Ch. 13 - FIGURE 13-70 Assuming that the coils in Figure...Ch. 13 - Determine fr and BW for each filter in Figure...Ch. 13 - Find the total impedance of the circuit in Figure...Ch. 13 - Is the circuit in Figure 13-72 capacitive or...Ch. 13 - For the circuit in Figure 13-72, find all the...Ch. 13 - Find the total impedence for the circuit in Figure...Ch. 13 - What is the impedance of an ideal parallel...Ch. 13 - Prob. 21PCh. 13 - How much current is drawn from the source in...Ch. 13 - At resonance, XL=2K and RW=25 in a parallel...Ch. 13 - If the lower cutoff frequency is 2400 Hz and the...Ch. 13 - In a certain resonant circuit, the power to the...Ch. 13 - What values of L and C should be used in a tank...Ch. 13 - Prob. 27PCh. 13 - A parallel resonant band-stop filter is needed to...Ch. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Determine whether there is a value of C that will...Ch. 13 - If the value of C is 0.22F, how much current is...Ch. 13 - Determine the resonant frequencies in Figure 13-77...Ch. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Open file P13-42. Determine if there is a fault...Ch. 13 - Prob. 43P
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