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Chapter 32. Fundamentals of Circuits Chapter 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 Circuits Chapter 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 Circuits 2 Chapter 32. Reading Quizzes Chapter 32. Reading Quizzes Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. 3 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 4

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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

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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

Page 2: Chapter 32. Fundamentals of Circuits - Home - Physics ... Microsoft PowerPoint - Chapter32 [Compatibility Mode] Author dhamala Created Date 11/21/2008 11:00:09 AM

How many laws are named after Kirchhoff?

A. 0

B. 1

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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?

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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?

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A. Period

B. Torque

C. Terminal voltage

D. Time constant

E. Coefficient of thermal expansion

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A. Period

In an RC circuit, what is the

name of the quantity

represented by the symbol ττττ?

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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.

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.

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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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Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

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Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

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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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19

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

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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

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The power dissipated by a resistor is

Or, in terms of the potential drop across the resistor

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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.

26

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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

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

30

EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

31

EXAMPLE 32.7 Lighting up a flashlightEXAMPLE 32.7 Lighting up a flashlight

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

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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.

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

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

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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

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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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42

EXAMPLE 32.14 Exponential decay in an RC EXAMPLE 32.14 Exponential decay in an RC

circuitcircuit

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43

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

45

General StrategyGeneral Strategy

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46

General StrategyGeneral Strategy

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47

General StrategyGeneral Strategy

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Important ConceptsImportant Concepts

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49

Important ConceptsImportant Concepts

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50

Important ConceptsImportant Concepts

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51

ApplicationsApplications

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ApplicationsApplications

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53

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

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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.

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

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

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What is the potential at points a to e ?

A.

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B.

C.

D.

E.

61

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

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The time constant

for the discharge of

this capacitor is

A. 5 s.

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.

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