Features
In spite of the numerous textbooks on circuit analysis
available in the market, students often find the course
di...
must select which chapters/sections to cover. Sections
marked with the dagger sign (†) may be skipped,
explained briefly, ...
Aniruddha Datta, Texas A&M University
John Bay, Virginia Tech
Wilhelm Eggimann, Worcester Polytechnic
Institute
A. B. Bond...
This may be your first course in electrical engineer-
ing. Although electrical engineering is an exciting and
challenging ...
Preface v
Acknowledgments vi
A Note to the Student ix
1.1 Introduction 4
1.2 Systems of Units 4
1.3 Charge and Current 6
1...
6.1 Introduction 202
6.2 Capacitors 202
6.3 Series and Parallel Capacitors 208
6.4 Inductors 211
6.5 Series and Parallel I...
11.8 Power Factor Correction 457
†11.9 Applications 459
11.9.1 Power Measurement
11.9.2 Electricity Consumption Cost
11.10...
Review Questions 696
Problems 696
Comprehensive Problems 705
16.1 Introduction 708
16.2 Trigonometric Fourier Series 708
1...
1
DC CIRCUITS
P A R T 1
C h a p t e r 1 Basic Concepts
C h a p t e r 2 Basic Laws
C h a p t e r 3 Methods of Analysis
C h ...
3
C H A P T E R
BASIC CONCEPTS
1
It is engineering that changes the world.
—Isaac Asimov
Historical Profiles
Alessandro Ant...
4 PART 1 DC Circuits
1.1 INTRODUCTION
Electric circuit theory and electromagnetic theory are the two fundamen-
tal theorie...
CHAPTER 1 Basic Concepts 5
2, 5, 6
C
Oscillator
E
B
R2
10 k
R3
10 k
R1 47
Y1
7 MHz
C6 5
L2
22.7 mH
(see text)
to
U1, Pin 8...
6 PART 1 DC Circuits
1.3 CHARGE AND CURRENT
The concept of electric charge is the underlying principle for explaining
all ...
CHAPTER 1 Basic Concepts 7
Electric current is the time rate of change of charge, measured in amperes (A).
Mathematically,...
8 PART 1 DC Circuits
E X A M P L E 1 . 1
How much charge is represented by 4,600 electrons?
Solution:
Each electron has −1...
CHAPTER 1 Basic Concepts 9
1.4 VOLTAGE
As explained briefly in the previous section, to move the electron in a
conductor in...
10 PART 1 DC Circuits
1.5 POWER AND ENERGY
Although current and voltage are the two basic variables in an electric
circuit...
CHAPTER 1 Basic Concepts 11
When the voltage and current directions con-
form to Fig. 1.8(b), we have the active sign con-...
12 PART 1 DC Circuits
Solution:
The total charge is
q = i t = 2 × 10 = 20 C
The voltage drop is
v =
w
q
=
2.3 × 103
20
= 1...
CHAPTER 1 Basic Concepts 13
E X A M P L E 1 . 6
How much energy does a 100-W electric bulb consume in two hours?
Solution:...
14 PART 1 DC Circuits
maintain the designated current. The symbol for an independent current
source is displayed in Fig. 1...
CHAPTER 1 Basic Concepts 15
p2 = 12(5) = 60 W Absorbed power
p3 = 8(6) = 48 W Absorbed power
For p4, we should note that t...
16 PART 1 DC Circuits
Fig. 1.17. Unlike the iconoscope tube, which produces an electron beam
of constant intensity, the CR...
CHAPTER 1 Basic Concepts 17
1.7.2 Electricity Bills
The second application deals with how an electric utility company char...
18 PART 1 DC Circuits
P R A C T I C E P R O B L E M 1 . 9
Referring to the residential rate schedule in Example 1.9, calcu...
CHAPTER 1 Basic Concepts 19
3. Establish a set of Alternative solutions and determine the one
that promises the greatest l...
20 PART 1 DC Circuits
the polarity should be. If we cannot ask, then we need to make a decision
on what to do next. If we ...
CHAPTER 1 Basic Concepts 21
Now we can solve for v1.
8
v1 − 5
2
+
v1 − 0
8
+
v1 + 3
4
= 0
leads to (4v1 − 20) + (v1) + (2v...
22 PART 1 DC Circuits
4. Voltage is the energy required to move 1 C of charge through an
element.
v =
dw
dq
5. Power is th...
CHAPTER 1 Basic Concepts 23
PROBLEMS
Section 1.3 Charge and Current
1.1 How many coulombs are represented by these
amounts...
24 PART 1 DC Circuits
1.12 The current entering the positive terminal of a
device is i(t) = 3e−2t
A and the voltage across...
CHAPTER 1 Basic Concepts 25
1.22 A flashlight battery has a rating of 0.8 ampere-hours
(Ah) and a lifetime of 10 hours.
(a)...
27
C H A P T E R
BASIC LAWS
2
The chessboard is the world, the pieces are the phenomena of the universe,
the rules of the ...
28 PART 1 DC Circuits
2.1 INTRODUCTION
Chapter 1 introduced basic concepts such as current, voltage, and power
in an elect...
CHAPTER 2 Basic Laws 29
symbol for the resistor is shown in Fig. 2.1(b), where R stands for the
resistance of the resistor...
30 PART 1 DC Circuits
A short circuit is a circuit element with resistance approaching zero.
Similarly, an element with R ...
CHAPTER 2 Basic Laws 31
Examples of devices with nonlinear resistance are the lightbulb and the
diode. Although all practi...
32 PART 1 DC Circuits
Solution:
From Ohm’s law,
R =
v
i
=
120
2
= 60
P R A C T I C E P R O B L E M 2 . 1
The essential com...
CHAPTER 2 Basic Laws 33
E X A M P L E 2 . 3
A voltage source of 20 sin πt V is connected across a 5-k resistor. Find
the c...
34 PART 1 DC Circuits
Figs. 2.10 and 2.11 are identical. However, for the sake of clarity, nodes
b and c are spread out wi...
CHAPTER 2 Basic Laws 35
Fig. 2.13. The 5- resistor is in series with the 10-V voltage source
because the same current woul...
36 PART 1 DC Circuits
Kirchhoff’s current law (KCL) states that the algebraic sum of currents entering
a node (or a closed...
CHAPTER 2 Basic Laws 37
or
IT = I1 − I2 + I3 (2.18)
A circuit cannot contain two different currents, I1 and I2, in series,...
38 PART 1 DC Circuits
or
Vab = V1 + V2 − V3 (2.23)
To avoid violating KVL, a circuit cannot contain two different voltages...
CHAPTER 2 Basic Laws 39
P R A C T I C E P R O B L E M 2 . 5
Find v1 and v2 in the circuit of Fig. 2.22.
10 V +
− 8 V+
−
4 ...
40 PART 1 DC Circuits
E X A M P L E 2 . 7
Find current io and voltage vo in the circuit shown in Fig. 2.25.a
0.5io 3 A
io
...
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