Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Chapter 9, Problem 5TFQ
To determine
Whether the statement is true or false.
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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 9 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 9 - The area of the plates of a capacitor is...Ch. 9 - A capacitance of 1200pF is the same as 1.2F.Ch. 9 - When two capacitors are in series with a voltage...Ch. 9 - When two capacitors are in parallel with a voltage...Ch. 9 - Prob. 5TFQCh. 9 - Prob. 6TFQCh. 9 - Prob. 7TFQCh. 9 - Prob. 8TFQCh. 9 - Voltage leads current in a capacitor.Ch. 9 - Prob. 10TFQ
Ch. 9 - Prob. 1STCh. 9 - Prob. 2STCh. 9 - Prob. 3STCh. 9 - A capacitance of 1000pF is smaller than 0.01F...Ch. 9 - Prob. 5STCh. 9 - Prob. 6STCh. 9 - Prob. 7STCh. 9 - Prob. 8STCh. 9 - Prob. 9STCh. 9 - Prob. 10STCh. 9 - Prob. 11STCh. 9 - Prob. 12STCh. 9 - Prob. 13STCh. 9 - A sinusoidal voltage is applied across a...Ch. 9 - Prob. 15STCh. 9 - Prob. 1TSCCh. 9 - Prob. 2TSCCh. 9 - Prob. 3TSCCh. 9 - Prob. 4TSCCh. 9 - Determine the cause for each set of symptoms....Ch. 9 - Find the capacitance when Q=50CandV=10V. Find the...Ch. 9 - Convert the following values from microfarads to...Ch. 9 - Convert the following values from picofarads to...Ch. 9 - Convert the following values from farads to...Ch. 9 - What size capacitor is capable of storing 10mJ of...Ch. 9 - A mica capacitor has a plate area of 20cm2 and a...Ch. 9 - An air capacitor has plates with an area of 0.1m2....Ch. 9 - A student wants to construct a 1F capacity out of...Ch. 9 - A student decide to construct a capacitor using...Ch. 9 - At ambient temperature (25oC), a certain capacitor...Ch. 9 - A 0.001F capacitor has a positive temperature...Ch. 9 - In the construction of a stacked-foil mica...Ch. 9 - What type of capacitor has the higher dielectric...Ch. 9 - Show how to connect an electrolytic capacitor...Ch. 9 - Determine the value of the typographically labeled...Ch. 9 - Name two types of electrolytic capacitors. How do...Ch. 9 - Prob. 17PCh. 9 - Five 1000pF capacitors are in series. What is the...Ch. 9 - Find the total capacitance for each circuit in...Ch. 9 - For each circuit in Figure 9-65 determine the...Ch. 9 - The total charge stored by the series capacitors...Ch. 9 - Determine CT for each circuit in Figure 9-67.Ch. 9 - Determine the total capacitance and total charge...Ch. 9 - Assume you need a total capacitance of 2.1F in a...Ch. 9 - Determine the time constant for each of the...Ch. 9 - Determine how long it takes the capacitor to reach...Ch. 9 - In the circuit of Figure 9-69, the capacitor...Ch. 9 - In Figure 9-70, the capacitor is charged to 25 V....Ch. 9 - Repeat Problem 27 for the following time...Ch. 9 - Repeat Problem 28 for the following time...Ch. 9 - Deterimine XC for a 0.0047F capacitor at each of...Ch. 9 - What is the value of the total capacitive...Ch. 9 - For the circuit in Figure 9-72, find the reactance...Ch. 9 - Prob. 34PCh. 9 - A sinusoidal voltage of 20Vrms produces an rms...Ch. 9 - A 10 kHz voltage is applied to a 0.0047F...Ch. 9 - Determine the true power and the reactive power in...Ch. 9 - If another capacitor is connected in parallel with...Ch. 9 - Ideally, what should the reactance of a bypass...Ch. 9 - Two series capacitors (one 1F, the other of...Ch. 9 - Prob. 41PCh. 9 - How long does it take C to charge to 8 V in Figure...Ch. 9 - Detemine the time constant for the circuit in...Ch. 9 - In Figure 9-74, the capacitor initially is...Ch. 9 - The capacitor in Figure 9-75 is uncharged when the...Ch. 9 - Determine the ac voltage across each capacitor and...Ch. 9 - Find the value of C1 in Figure 9-77.Ch. 9 - How much does the voltage across C5andC6 change...Ch. 9 - If C4 in Figure 9-76 is open determine the voltage...Ch. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 53PCh. 9 - Prob. 54P
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