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Chapter 32. Fundamentals of CircuitsChapter 32. Fundamentals of Circuits
Surprising as it may seem,
the power of a computer is
achieved simply by the
controlled flow of charges
through tiny wires and
circuit elements.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
circuit elements.
Chapter Goal: To
understand the fundamental
physical principles that
govern electric circuits.
1
Topics:
• Circuit Elements and Diagrams
• Kirchhoff’s Laws and the Basic Circuit
• Energy and Power
Chapter 32. Fundamentals of CircuitsChapter 32. Fundamentals of Circuits
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
• Series Resistors
• Real Batteries
• Parallel Resistors
• Resistor Circuits
• Getting Grounded
• RC Circuits2
Chapter 32. Reading QuizzesChapter 32. Reading Quizzes
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 32. Reading QuizzesChapter 32. Reading Quizzes
3
How many laws are named after Kirchhoff?
A. 0
B. 1
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B. 1
C. 2
D. 3
E. 4
4
How many laws are named after Kirchhoff?
A. 0
B. 1
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
B. 1
C. 2
D. 3
E. 4
5
What property of a real battery makes
its potential difference slightly different
than that of an ideal battery?
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. Short circuit
B. Chemical potential
C. Internal resistance
D. Effective capacitance
E. Inductive constant
6
What property of a real battery makes
its potential difference slightly different
than that of an ideal battery?
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. Short circuit
B. Chemical potential
C. Internal resistance
D. Effective capacitance
E. Inductive constant
7
A. Period
In an RC circuit, what is the
name of the quantity
represented by the symbol ττττ?
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. Period
B. Torque
C. Terminal voltage
D. Time constant
E. Coefficient of thermal expansion
8
A. Period
In an RC circuit, what is the
name of the quantity
represented by the symbol ττττ?
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. Period
B. Torque
C. Terminal voltage
D. Time constant
E. Coefficient of thermal expansion
9
Which of the following are ohmic materials:
A. batteries.
B. wires.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
B. wires.
C. resistors.
D. Materials a and b.
E. Materials b and c.
10
Which of the following are ohmic materials:
A. batteries.
B. wires.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
B. wires.
C. resistors.
D. Materials a and b.
E. Materials b and c.
11
The equivalent resistance for a group of
parallel resistors is
A. less than any resistor in the group.
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A. less than any resistor in the group.
B. equal to the smallest resistance in the group.
C. equal to the average resistance of the group.
D. equal to the largest resistance in the group.
E. larger than any resistor in the group.
12
The equivalent resistance for a group of
parallel resistors is
A. less than any resistor in the group.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. less than any resistor in the group.
B. equal to the smallest resistance in the group.
C. equal to the average resistance of the group.
D. equal to the largest resistance in the group.
E. larger than any resistor in the group.
13
Chapter 32. Basic Content and ExamplesChapter 32. Basic Content and Examples
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Chapter 32. Basic Content and ExamplesChapter 32. Basic Content and Examples
14
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15
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Tactics: Using Kirchhoff’s loop lawTactics: Using Kirchhoff’s loop law
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Tactics: Using Kirchhoff’s loop lawTactics: Using Kirchhoff’s loop law
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20
Energy and PowerEnergy and Power
The power supplied by a battery is
The units of power are J/s, or W.
The power dissipated by a resistor is
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The power dissipated by a resistor is
Or, in terms of the potential drop across the resistor
21
EXAMPLE 32.4 The power of lightEXAMPLE 32.4 The power of light
QUESTION:
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EXAMPLE 32.4 The power of lightEXAMPLE 32.4 The power of light
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EXAMPLE 32.4 The power of lightEXAMPLE 32.4 The power of light
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EXAMPLE 32.4 The power of lightEXAMPLE 32.4 The power of light
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25
Series ResistorsSeries Resistors
• Resistors that are aligned end to end, with no
junctions between them, are called series resistors or,
sometimes, resistors “in series.”
• The current I is the same through all resistors placed
in series.
• If we have N resistors in series, their
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
• If we have N resistors in series, their
equivalent resistance is
The behavior of the circuit will be unchanged if the N series
resistors are replaced by the single resistor Req.
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27
EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight
QUESTION:
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EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight
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EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight
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EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight
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EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight
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Parallel ResistorsParallel Resistors
• Resistors connected at both ends are called
parallel resistors or, sometimes, resistors “in parallel.”
• The left ends of all the resistors connected in parallel
are held at the same potential V1, and the right ends are
all held at the same potential V2.
• The potential differences ∆V are the same across
all resistors placed in parallel.
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all resistors placed in parallel.
• If we have N resistors in parallel, their
equivalent resistance is
The behavior of the circuit will be unchanged if the N
parallel resistors are replaced by the single resistor Req.33
EXAMPLE 32.10 A combination of resistorsEXAMPLE 32.10 A combination of resistors
QUESTION:
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34
EXAMPLE 32.10 A combination of resistorsEXAMPLE 32.10 A combination of resistors
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35
EXAMPLE 32.10 A combination of resistorsEXAMPLE 32.10 A combination of resistors
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
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EXAMPLE 32.10 A combination of resistorsEXAMPLE 32.10 A combination of resistors
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37
Example: Kirchoff’s Rules
1R
∆V
+ −
2R
3R
I
3I
2I
I
∆2
V+
−
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38
∆1
V
= +2 3
I I I
− + =3 3 2 2
0I R I R
∆ − ∆ − − =1 2 2 2 1
0V V I R IR
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39
RC CircuitsRC Circuits• Consider a charged capacitor, an open switch, and
a resistor all hooked in series. This is an RC Circuit.
• The capacitor has charge Q0 and potential difference
∆VC = Q0/C.
• There is no current, so the potential difference across
the resistor is zero.
• At t = 0 the switch closes and the capacitor begins
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• At t = 0 the switch closes and the capacitor begins
to discharge through the resistor.
• The capacitor charge as a function of time is
where the time constant τ is
40
EXAMPLE 32.14 Exponential decay in an RC EXAMPLE 32.14 Exponential decay in an RC
circuitcircuit
QUESTION:
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41
EXAMPLE 32.14 Exponential decay in an RC EXAMPLE 32.14 Exponential decay in an RC
circuitcircuit
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EXAMPLE 32.14 Exponential decay in an RC EXAMPLE 32.14 Exponential decay in an RC
circuitcircuit
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EXAMPLE 32.14 Exponential decay in an RC EXAMPLE 32.14 Exponential decay in an RC
circuitcircuit
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Chapter 32. Summary SlidesChapter 32. Summary Slides
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Chapter 32. Summary SlidesChapter 32. Summary Slides
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General StrategyGeneral Strategy
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General StrategyGeneral Strategy
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General StrategyGeneral Strategy
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Important ConceptsImportant Concepts
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Important ConceptsImportant Concepts
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Important ConceptsImportant Concepts
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ApplicationsApplications
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ApplicationsApplications
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Chapter 32. QuestionsChapter 32. Questions
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Chapter 32. QuestionsChapter 32. Questions
54
Which of these diagrams represent the same circuit?
A. a and b
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A. a and b
B. b and c
C. a and c
D. a, b, and d
E. a, b, and c
55
Which of these diagrams represent the same circuit?
A. a and b
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. a and b
B. b and c
C. a and c
D. a, b, and d
E. a, b, and c
56
What is ∆V across the
unspecified circuit
element? Does the
potential increase or
decrease when
traveling through this
element in the direction
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
element in the direction
assigned to I?
A.∆V decreases by 2 V in the direction of I.
B. ∆V increases by 2 V in the direction of I.
C. ∆V decreases by 10 V in the direction of I.
D.∆V increases by 10 V in the direction of I.
E. ∆V increases by 26 V in the direction of I.
57
What is ∆V across the
unspecified circuit
element? Does the
potential increase or
decrease when
traveling through this
element in the direction
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A.∆V decreases by 2 V in the direction of I.
B. ∆V increases by 2 V in the direction of I.
C. ∆V decreases by 10 V in the direction of I.
D.∆V increases by 10 V in the direction of I.
E. ∆V increases by 26 V in the direction of I.
element in the direction
assigned to I?
58
Rank in order, from largest to smallest,
the powers Pa to Pd dissipated in
resistors a to d.
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A. Pb > Pa = Pc = Pd
B. Pb = Pd > Pa > Pc
C. Pb = Pc > Pa > Pc
D. Pb > Pd > Pa > Pc
E. Pb > Pc > Pa > Pd
59
Rank in order, from largest to smallest,
the powers Pa to Pd dissipated in
resistors a to d.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. Pb > Pa = Pc = Pd
B. Pb = Pd > Pa > Pc
C. Pb = Pc > Pa > Pc
D. Pb > Pd > Pa > Pc
E. Pb > Pc > Pa > Pd
60
What is the potential at points a to e ?
A.
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B.
C.
D.
E.
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A.
What is the potential at points a to e ?
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B.
C.
D.
E.
62
Rank in order,
from brightest to
dimmest, the
identical bulbs A
to D.
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A. C = D > B > A
B. A > C = D > B
C. A = B = C = D
D. A > B > C = D
E. A > C > B > D
63
Rank in order,
from brightest to
dimmest, the
identical bulbs A
to D.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. C = D > B > A
B. A > C = D > B
C. A = B = C = D
D. A > B > C = D
E. A > C > B > D
64
The time constant
for the discharge of
this capacitor is
A. 5 s.
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A. 5 s.
B. 1 s.
C. 2 s.
D. 4 s.
E. The capacitor doesn’t discharge because
the resistors cancel each other.
65
A. 5 s.
The time constant
for the discharge of
this capacitor is
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A. 5 s.
B. 1 s.
C. 2 s.
D. 4 s.
E. The capacitor doesn’t discharge because
the resistors cancel each other.
66