Electrical Engineering: Principles & Applications, 7th Edition
7th Edition
ISBN: 9780134485201
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.65P
Determine the value of
in the circuit shown in Figure P1.65.
Figure P1.65
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Students have asked these similar questions
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
Electrical Engineering: Principles & Applications, 7th Edition
Ch. 1 - Broadly speaking, what are the two main objectives...Ch. 1 - Prob. 1.2PCh. 1 - List eight subdivisions of electrical engineering.Ch. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - In the fluid-flow analogy for electrical circuits,...Ch. 1 - The charge of an electron is 1.601019C . A current...Ch. 1 - The ends of a length of wire are labeled a and b....Ch. 1 - The circuit element shown in Figure P1.9 has v=12V...Ch. 1 - Prob. 1.10P
Ch. 1 - The net charge through a cross section of a...Ch. 1 - The current through a particular circuit element...Ch. 1 - The current through a given circuit element is...Ch. 1 - The net charge through a cross section of a...Ch. 1 - A copper wire has a diameter of 2.05 mm and...Ch. 1 - A certain lead acid storage battery has a mass of...Ch. 1 - A circuit element having terminals a and b has...Ch. 1 - An electron moves through a voltage of 9 V from...Ch. 1 - A typical “deep-cycle” battery (used for electric...Ch. 1 - Define the term passive reference configuration....Ch. 1 - Compute the power for each element shown in Figure...Ch. 1 - The terminals of an electrical device are labeled...Ch. 1 - The terminals of a certain battery are labeled a...Ch. 1 - The element shown in Figure P1.24 I has v(t)=10V...Ch. 1 - The current and voltage of an electrical device...Ch. 1 - Suppose that the cost of electrical energy is...Ch. 1 - Figure P1.27 shows an ammeter (AM) and voltmeter...Ch. 1 - Repeat Problem P1.27 with the meters connected as...Ch. 1 - A certain type of D-cell battery that costs $0.50...Ch. 1 - The electronics aboard a certain sailboat consume...Ch. 1 - What s a node in an electrical circuit? Identify...Ch. 1 - State Kirchhoff’s current law.Ch. 1 - Two electrical elements are connected in series....Ch. 1 - Suppose that in the fluid-flow analogy for an...Ch. 1 - Identify elements that are in series in the...Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KCL to find the values of ia, ic , and id for...Ch. 1 - Find the values of the other currents in Figure...Ch. 1 - Prob. 1.39PCh. 1 - State Kirchhoff’s voltage law.Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KVL to solve for the voltages va , vb, and vc...Ch. 1 - Solve for the other voltages shown in Figure P1.43...Ch. 1 - Use KVL and KCL to solve for the labeled currents...Ch. 1 - Identify elements that are in parallel in Figure...Ch. 1 - Points a, b, c, and d appear in a certain circuit....Ch. 1 - In your own words, define an ideal conductor; an...Ch. 1 - Name four types of dependent sources and give the...Ch. 1 - State Ohm’s law, including references.Ch. 1 - Draw a circuit that contains a 5 resistance, a...Ch. 1 - Repeat Problem P1.50, placing all three elements...Ch. 1 - The resistance of a certain copper wire is 0.5. ....Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - A power of 100 W is delivered to a certain...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - A certain wire has a resistance of 0.5 . Find the...Ch. 1 - Plot i versus v to scale for each of the parts of...Ch. 1 - Which of the following are self-contradictory...Ch. 1 - Consider the circuit shown in Figure P1.61. Find...Ch. 1 - Consider the circuit shown in Figure P1.62. Find...Ch. 1 - Consider the circuit shown in Figure P1.63. Find...Ch. 1 - Consider the circuit shown in Figure P1.64. Use...Ch. 1 - Determine the value of Ix in the circuit shown in...Ch. 1 - Consider the circuit shown in Figure P1.66. Figure...Ch. 1 - Prob. 1.67PCh. 1 - Consider the circuit shown in Figure P1.68. Figure...Ch. 1 - Solve for the currents shown in Figure P1.69....Ch. 1 - The circuit shown in Figure P1.70 contains a...Ch. 1 - Determine the value of vx and iy in the circuit...Ch. 1 - A 10-V independent voltage source is in series...Ch. 1 - A 10-V independent voltage source is in parallel...Ch. 1 - Consider the circuit shown in Figure P1.74. Figure...Ch. 1 - The circuit shown in Figure P1.75 contains a...Ch. 1 - For the circuit shown in Figure P1.76, solve for...Ch. 1 - For the circuit shown in Figure P1.77, solve for...Ch. 1 - Match each entry in Table T1.1(a) with the best...Ch. 1 - Prob. 1.2PTCh. 1 - The circuit of Figure T1.3 has I1=3A , I2=1A ,...Ch. 1 - The circuit shown in Figure T1.4 has Vs=12V ,...Ch. 1 - We are given Vs=15V , R=10 , and =0.3S for the...Ch. 1 - We are given i4=2A for the circuit of Figure T1.6....
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