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    Diodes

    1

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 2

    Figure 3.1 The ideal diode: (a)diode circuit symbol; (b)iv characteristic; (c)equivalent circuit in the reverse direction;

    (d)equivalent circuit in the forward direction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 3

    Figure 3.2 The two modes of operation of ideal diodes and the use of an external circuit to limit the forward current (a)

    and the reverse voltage (b).

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    Figure 3.3 (a)Rectifier circuit. (b)Input waveform. (c)Equivalent circuit when vI 0.(d)Equivalent circuit when vI

    0. (e)Output waveform.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 5

    Figure E3.1

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    Figure E3.2

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 7

    Figure 3.4 Circuit and waveforms for Example 3.1.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 8

    Figure 3.5 Diode logic gates: (a)OR gate; (b)AND gate (in a positive-logic system).

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 9

    Figure 3.6 Circuits for Example 3.2.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 10

    Figure E3.4

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 11

    Figure E3.5

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 12

    Figure 3.7 The iv characteristic of a silicon junction diode.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 13

    Figure 3.8 The diode ivrelationship with some scales expanded and others compressed in order to reveal details.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 14

    Figure 3.9 Illustrating the temperature dependence of the diode forward characteristic. At a constant current, the voltage

    drop decreases by approximately 2 mV for every 1C increase in temperature.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 15

    Figure E3.9

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 16

    Figure 3.10 A simple circuit used to illustrate the analysis of circuits in which the diode is forward conducting.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 17

    Figure 3.11 Graphical analysis of the circuit in Fig. 3.10 using the exponential diode model.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 18

    Figure 3.12 Approximating the diode forward characteristic with two straight lines: the piecewise-linear model.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 19

    Figure 3.13 Piecewise-linear model of the diode forward characteristic and its equivalent circuit representation.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 20

    Figure 3.14 The circuit of Fig. 3.10 with the diode replaced with its piecewise-linear model of Fig. 3.13.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 21

    Figure 3.15 Development of the constant-voltage-drop model of the diode forward characteristics. A vertical straight line

    (B) is used to approximate the fast-rising exponential. Observe that this simple model predicts VDto within 0.1 V over the

    current range of 0.1 mA to 10 mA.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 22

    Figure 3.16 The constant-voltage-drop model of the diode forward characteristics and its equivalent-circuit representation.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 23

    Figure E3.12

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 24

    Figure 3.17 Development of the diode small-signal model. Note that the numerical values shown are for a diode with n = 2.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 25

    Figure 3.18 (a)Circuit for Example 3.6. (b)Circuit for calculating the dc operating point. (c)Small-signal equivalent

    circuit.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 26

    Figure 3.19 Circuit for Example 3.7.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 27

    Figure E3.16

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 28

    Table 3.1 Modeling the Diode Forward Characteristic

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    Table 3.1 (Continued)

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    Figure 3.20 Circuit symbol for a zener diode.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 31

    Figure 3.21 The diode iv characteristic with the breakdown region shown in some detail.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 32

    Figure 3.22 Model for the zener diode.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 33

    Figure 3.23 (a)Circuit for Example 3.8. (b)The circuit with the zener diode replaced with its equivalent circuit model.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 34

    Figure 3.24 Block diagram of a dc power supply.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 35

    Figure 3.25 (a)Half-wave rectifier. (b)Equivalent circuit of the half-wave rectifier with the diode replaced with its

    battery-plus-resistance model. (c)Transfer characteristic of the rectifier circuit. (d)Input and output waveforms, assumingthat rD!R.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 36

    Figure 3.26 Full-wave rectifier utilizing a transformer with a center-tapped secondary winding: (a) circuit; (b)transfer

    characteristic assuming a constant-voltage-drop model for the diodes;(c)input and output waveforms.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 37

    Figure 3.27 The bridge rectifier: (a)circuit; (b)input and output waveforms.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 38

    Figure 3.28 (a)A simple circuit used to illustrate the effect of a filter capacitor. (b)Input and output waveforms assuming

    an ideal diode. Note that the circuit provides a dc voltage equal to the peak of the input sine wave. The circuit is therefore

    known as a peak rectifier or a peak detector.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 39

    Figure 3.29 Voltage and current waveforms in the peak rectifier circuit with CR@T. The diode is assumed ideal.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 40

    Figure 3.30 Waveforms in the full-wave peak rectifier.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 41

    Figure 3.31 The superdiode precision half-wave rectifier and its almost-ideal transfer characteristic. Note that when vI> 0

    and the diode conducts, the op amp supplies the load current, and the source is conveniently buffered, an added advantage. Not

    shown are the op-amp power supplies.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 42

    Figure 3.32 General transfer characteristic for a limiter circuit.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 43

    Figure 3.33 Applying a sine wave to a limiter can result in clipping off its two peaks.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 44

    Figure 3.34 Soft limiting.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 45

    Figure 3.35 A variety of basic limiting circuits.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 46

    Figure E3.27

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 47

    Figure 3.36 The clamped capacitor or dc restorer with a square-wave input and no load.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 48

    Figure 3.37 The clamped capacitor with a load resistanceR.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 49

    Figure 3.38 Voltage doubler: (a)circuit; (b)waveform of the voltage acrossD1.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 50

    Figure 3.39 Simplified physical structure of the junction diode. (Actual geometries are given in Appendix A.)

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 51

    Figure 3.40 Two-dimensional representation of the silicon crystal. The circles represent the inner core of silicon atoms,

    with +4 indicating its positive charge of +4q, which is neutralized by the charge of the four valence electrons. Observe how

    the covalent bonds are formed by sharing of the valence electrons. At 0 K, all bonds are intact and no free electrons are

    available for current conduction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 52

    Figure 3.41 At room temperature, some of the covalent bonds are broken by thermal ionization. Each broken bond gives

    rise to a free electron and a hole, both of which become available for current conduction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 53

    Figure 3.42 A bar of intrinsic silicon (a)in which the hole concentration profile shown in (b)has been created along thex-axis

    by some unspecified mechanism.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 54

    Figure 3.43 A silicon crystal doped by a pentavalent element. Each dopant atom donates a free electron and is thus called a

    donor. The doped semiconductor becomes n type.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 55

    Figure 3.44 A silicon crystal doped with a trivalent impurity. Each dopant atom gives rise to a hole, and the

    semiconductor becomesptype.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 56

    Figure 3.45 (a)Thepnjunction with no applied voltage (open-circuited terminals). (b)The potential distribution along an

    axis perpendicular to the junction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 57

    Figure 3.46 Thepnjunction excited by a constant-current sourceI in the reverse direction. To avoid breakdown,Iis kept

    smaller thanIS.Note that the depletion layer widens and the barrier voltage increases by VRvolts, which appears between

    the terminals as a reverse voltage.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 58

    Figure 3.47 The charge stored on either side of the depletion layer as a function of the reverse voltage VR.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 59

    Figure 3.48 Thepnjunction excited by a reverse-current sourceI,whereI >IS. The junction breaks down, and a voltage VZ ,

    with the polarity indicated, develops across the junction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 60

    Figure 3.49 Thepnjunction excited by a constant-current source supplying a currentIin the forward direction. The depletion

    layer narrows and the barrier voltage decreases by V volts, which appears as an external voltage in the forward direction.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 61

    Figure 3.50 Minority-carrier distribution in a forward-biasedpnjunction. It is assumed that thep region is more heavilydoped than the nregion;NA @ND.

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    Figure 3.51 The SPICE diode model.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 63

    Figure 3.52 Equivalent-circuit model used to simulate the zener diode in SPICE. DiodeD1is ideal and can be

    approximated in SPICE by using a very small value for n(say n =0.01).

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 64

    Figure 3.53 Capture schematic of the 5-V dc power supply in Example 3.10.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 65

    Figure 3.54 The voltage vCacross the smoothing capacitor Cand the voltage vOacross the load resistorRload= 200 in

    the 5-V power supply of Example 3.10.

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 66

    Figure 3.55 The output-voltage waveform from the 5-V power supply (in Example 3.10) for various load resistances:Rload

    = 500 , 250 , 200 , and 150 . The voltage regulation is lost at a load resistance of 150 .

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 67

    Figure E3.35 (a) Capture schematic of the voltage-doubler circuit (in Exercise 3.35).

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 68

    Figure E3.35 (Continued)(b)Various voltage waveforms in the voltage-doubler circuit. The top graph displays the input

    sine-wave voltage signal, the middle graph displays the voltage across diodeD1, and the bottom graph displays the voltage

    that appears at the output.

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    Figure P3.2

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    Figure P3.3

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 71

    Figure P3.4 (Continued)

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    Copyright 2004 by Oxford University Press, Inc.Microelectronic Circuits - Fifth Edition Sedra/Smith 72

    Figure P3.4 (Continued)

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    Figure P3.5

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    Figure P3.6

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    Figure P3.9

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    Figure P3.10

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    Copyright

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    Figure P3.16

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    Figure P3.23

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    Figure P3.25

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    Figure P3.26

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    Figure P3.28

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    Figure P3.54

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    Figure P3.56

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    Figure P3.57

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    Figure P3.58

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    Figure P3.59

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    Figure P3.63

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    Figure P3.82

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    Figure P3.91

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    Figure P3.92

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    Figure P3.93

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    Figure P3.97

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    Figure P3.98

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    Figure P3.102

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    Figure P3.103

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    Figure P3.105

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