ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
8th Edition
ISBN: 9781119235385
Author: Thomas
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 1.14P
The 12-V automobile battery in Figure P1-14 has an output capacity of 100 Ah when connected to a head lamp that absorbs 200 W of power. The car engine is not running and therefore not charging the battery. Assume the battery volt-age remains constant.
- Find the current supplied by the battery and determine how long can the battery power the headlight.
- A 100-W device is connected through the utility port. How long can the battery power both the headlight and the device?
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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 1 Solutions
ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
Ch. 1 - Given an electrical quantity described in terms of...Ch. 1 - Express the following quantities to the nearest...Ch. 1 - An ampere-hour (Ah) meter measures the time...Ch. 1 - Electric power companies measure energy...Ch. 1 - Fill in the blanks in the following statements. To...Ch. 1 - Which of the two entries is larger? 1000...Ch. 1 - A wire carries a constant current of 30A. How many...Ch. 1 - The net positive charge flowing through a device...Ch. 1 - Figure P1-9 shows a plot of the net positive...Ch. 1 - The net negative charge flowing through a device...
Ch. 1 - A cell phone charger outputs 9.6 V and is...Ch. 1 - For 0t5s, the current through a device is...Ch. 1 - The charge flowing through a device is...Ch. 1 - The 12-V automobile battery in Figure P1-14 has an...Ch. 1 - The current through a device is zero for t0 and is...Ch. 1 - A string of holiday lights is protected by a 12A...Ch. 1 - When illuminated the relationship for a photocell...Ch. 1 - A new 6-V alkaline lantern battery delivers...Ch. 1 - The maximum current allowed by a device's power...Ch. 1 - Traffic lights are being converted from...Ch. 1 - Two electrical devices are connected as shown in...Ch. 1 - Figure P1-22 shows an electric circuit with a...Ch. 1 - Figure P1-22 shows an electric circuit with a...Ch. 1 - In Figure P1-24 the voltage v2 is 10 V and v4 is 5...Ch. 1 - For t0, the voltage across and power absorbed by a...Ch. 1 - Repeat Problem 1-22 using MATLAB to perform the...Ch. 1 - Using the passive sign convention, the voltage...Ch. 1 - Power Ratio (PR) in dB A stereo amplifier takes...Ch. 1 - AC to DC Converter A manufacturer's data sheet for...Ch. 1 - Charge-Storage Device A capacitor is a...Ch. 1 - Compute Data Sheet A manufacturer's data sheet for...Ch. 1 - Light Source Comparison A Today people have three...
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