Unit 2 - Oscillators by Mehzabeen

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    Oscill

    ators

    S.M.Mehzabeen

    1

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    Oscillators By S.M.Mehzabeen 2

    Objectives

    Define the basic oscillator circuit

    Identify elements of feedback in the oscillator

    Identify the conditions for oscillation to occur

    Identify input and output characteristics

    Identify common uses of the oscillator

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    Word Wall

    Oscillation: an effect that repeatedly and regularly

    fluctuates about a mean value

    Oscillator: circuit that produces oscillation

    Characteristics: frequency, amplitude, distortion,

    wave-shape, stability

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    OscillatorIn our daily life

    Digital watches, Invertors, Radios , T.V, Computers, Fans, MetalDetectors, Electronic Bells and lots more

    Pendulum of a clock.

    If you push on a pendulum to start it swinging, it will oscillate at

    some frequency - it will swing back and forth a certain number

    of times per second.

    The length of the pendulum controls the frequency.

    In pendulum potential energy is converted in kinetic energy

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    Overview of the Oscillator

    One of the basic building blocks of electronics

    Input is a direct current (DC) power source

    Output is alternating current (AC)

    Can generate sub-audible frequencies or very highfrequencies

    Most oscillators are amplifiers with feedback

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    Amplifiers as Oscillators?

    Most amplifiers will oscillate when conditions are correct

    Example: Too high of a volume on public address system

    = loud noise and squeals that are the result of acoustic

    waves traveling from the speakers to the microphone

    The result is oscillation

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    Feedback and Amplifier GainConditions for Oscillation

    Feedback alone does not promise oscillation

    There is always some loss in the feedback circuit

    Amplifier gain must be greater than this loss

    Feedback must be in-phase

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    In-phase Feedback

    In-phase feedback is also called regenerative feedback

    or positive feedback

    When the original amplifier input and output signals are not

    in-phase, the feedback circuit is used to reverse the phase

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    Input Characteristics

    Steady source of direct current (DC)

    In many applications, the DC source requires a filter

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    Output Characteristics

    Amplitude

    Frequency

    Waveform type

    Stability

    On some oscillators, the capability to change frequency

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    Oscillator Amplitude

    Usually determined by the gain available from the

    amplifier

    Supply voltage and circuit losses affect amplitude

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    Oscillator Frequency

    Frequency of operation is normally determined by the

    feedback circuit

    Common feedback circuits used to determine oscillator

    frequency include:

    crystals

    resistor and capacitor networks (RC)

    coil and capacitor networks (LC) {tank circuit}

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    Waveform Type

    Generally, determined by:

    Feedback circuitry

    Output filter circuitry

    May be sinusoidal (sine wave), square wave, or triangular

    wave

    Amplifier gain, or

    Changes to input voltage

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    Oscillator Stability

    Sometimes referred to as a stable oscillator

    Source of a signal with consistent amplitude

    Source of a signal with consistent frequency

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    Ability to Change Frequency

    Oscillators sometimes have the ability to change

    frequencies

    Crystal oscillator frequency is controlled by changing the

    crystal

    Crystals are usually cut from quartz to generate a

    specified frequency when operating

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    Typical Uses of the Oscillator

    Radio and

    television stations

    require oscillators

    to develop the

    basic signal to

    transmit their

    information

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    Vid hi l

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    Typical Uses of the Oscillator

    Cell phones, electronic

    keyboards, and remote

    controls use oscillators to

    produce the required

    frequencies for operation

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    Vid thi l

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    Typical Uses of the Oscillator

    Digital devices such as

    computers, watches,

    calculators, and iPods all

    require oscillators to

    generate the rectangular

    waveform required for

    operation

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    Vid thi l

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    Typical Uses of the Oscillator

    Variable oscillators, known

    as signal generators, are

    used to generate

    frequencies and waveforms

    needed for troubleshooting

    and the testing of electronic

    equipment

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    Need of an Oscillator

    An oscillator circuit is capable of producing ac voltage of

    desired frequency and waveshape.

    21

    To test performance of electronic circuits, it is called

    signal generator.

    It can produce square, pulse, triangular, or sawtooth

    waveshape.

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    High frequency oscillator are used in broadcasting.

    Microwave oven uses an oscillator.

    Used for induction heating and dielectric heating.

    Need of an Oscillator

    Oscillators are circuitsthat generate periodic

    signals.

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    An oscillator converts DC power from power supply to AC

    signals power spontaneously without the need for an AC

    input source (Note: Amplifiers convert DC power into AC

    output power only if an external AC input signal is present.)

    Need of an Oscillator

    There are several approaches to design of oscillator circuits.

    The approach to be discussed is related to the feedback

    using amplifiers.

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    A frequency-selective feedback path around an

    amplifier is placed to return part of the output signal

    to the amplifier input, which results in a circuit called

    a linear oscillator that produces an approximately

    sinusoidal output.

    Need of an Oscillator

    Under proper conditions, the signal returned by the feedback

    network has exactly the correct amplitude and phase needed to

    sustain the output signal.

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    Types of Oscillators

    Sinusoidal or non-sinusoidal.

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    An oscillator generating square wave or a pulse

    train is called multivibrator:

    1. Bistable multivibrator (Flip-Flop Circuit).

    2. Monostable multivibrator.

    3. Astable multivibrator (Free-running).

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    Types of Oscillators

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    Depending upon type of feedback, we have

    1. Tuned Circuit (LC) oscillators.

    2. RC oscillators, and

    3. Crystal oscillators.

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    The gain with positive feedback is given as

    27

    Using Positive Feedback

    By making 1 A

    = 0, or

    A

    = 1, we get gain as infinity

    This condition (A = 1) is known as Barkhausen Criterion of oscillations

    It means you get output without any input !

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    What happens to the output ?

    There are three possibilities.

    How is it Possible ?

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    Basic principles for oscillation An oscillator is an amplifier with positive feedback.

    (1)f

    VsVeV

    (2)oVfV

    (3)oVsVAfVsVAeAVoV

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    oVsVAfVsVAeAVoV

    oAsAVoV sAVoVA1

    Basic principles for oscillation

    The closed loop gain is:

    A1A

    sV

    oV

    fA

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    Basic principles for oscillation

    In general Aand are functions of frequency and thus

    may be written as;

    ssA1sA

    s

    sV

    oVs

    fA

    is known as loop gain

    ssA

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    (1) IfA < 1,we get decayingof dampedoscillations.

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    y p

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    (2) IfA > 1,we get growing oscillations.

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    y p

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    (3) IfA = 1,we get sustained oscillations. In this

    case, the circuit supplies its own input signal.

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    y p

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    Wherefrom comes the starting voltage ?

    36

    Each resistor is a noise generator.

    The feedback network is a resonant circuit giving

    maximum feedback voltage at frequency f0, providing

    phase shift of 0 only at this frequency.

    The initial loop gainA> 1.

    The oscillations build up only at this frequency.

    After the desired output is reached,Areduces to unity.

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    y p

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    Tank Circuit

    37

    LCparallel circuit is called

    tank circuit.

    Once excited, it oscillates

    at

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    The energy keeps oscillating between electric

    potential energyand magnetic filed energy.

    Tank Circuit

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    Oscillators By S.M.Mehzabeen 39

    Oscillators are the circuits which coverts DC

    Voltage from battery to AC Voltage

    Without excitation input signal

    A simple example

    If you charge up the capacitor with

    a battery and then insert theinductor into the circuit, here's

    what will happen

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    General Form of LC Oscillators

    Z=z1II hie=

    ZL=z +z3II z2

    Z L= II z2

    Z L= + II

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    General Form of LC Oscillators

    Av=1

    =1

    General Equation of LC Oscillator:

    hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0

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    Hartley Oscillator

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    Circuit Description

    6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)

    5.CC1 & CC2 are the coupling capacitors.

    Reactance value very high for high

    frequencies.(open circuit)

    Reactance value zero for D.C.Conditions.

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    Derivation of frequency of oscillation

    Z1=jwL1+jwM

    z2= jwL2 +jwM

    z3=

    General Equation of LC Oscillator:

    hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0

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    Derivation of frequency of oscillation

    hie(jwL1+jwM+ jwL2 +jwM- )+

    jwhie(L1+ L2+2M ) (W2

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    D i i f f f ill i

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    Derivation of frequency of oscillation

    Equating Real part = 0

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    Ci c it Desc iption

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    Circuit Description

    2.R1 and R2 biasing resistors.

    Amplifier stage:

    1.Transistor Active device in Common emitter

    Configuration.

    3.RE-Biasing emitter resistance

    4.CE-Emitter bypass capacitors.

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    Ci c it Desc iption

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    Circuit Description

    6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)

    5.CC1 & CC2 are the coupling capacitors.

    Reactance value very high for high frequencies.(open

    circuit)

    Reactance value zero for D.C.Conditions.

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    DERIVATION OF FREQUENCY OF OSCILLATION

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    DERIVATION OF FREQUENCY OF OSCILLATION

    General Equation of LC Oscillator:

    hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0

    hie( + = 0

    j hie( + -wL ) +(

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    DERIVATION OF FREQUENCY OF OSCILLATION

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    DERIVATION OF FREQUENCY OF OSCILLATION

    Equating Real part = 0

    = = w2c2L

    hfe= - 1

    = =c2L 1+hfe=

    hfe=

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    Solution :

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    Solution :

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    Circuit Description

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    Oscillators By S.M.Mehzabeen 75

    Circuit Description

    6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)

    5.CC1 & CC2 are the coupling capacitors.

    Reactance value very high for high frequencies.(open

    circuit)

    Reactance value zero for D.C.Conditions.

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    Derivation of frequency of oscillation

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    Derivation of frequency of oscillation

    Provides improved stability

    Permits capacitive tuning of the oscillator if C3 is variable.

    3

    1

    2

    1

    Lcfr

    )323121

    321(2

    1

    cccccccccL

    fr

    21

    21

    3 cc

    cc

    c

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    ADVANTAGES of Colpitts oscillation

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    ADVANTAGES of Colpittsoscillation

    The frequency is stable and accurate.

    The good frequency stability.

    The stray capacitances have no effect on C3which

    decides the frequency.

    Keeping C3 variable, frequency can be varied in the

    desired range.

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    Franklin oscillator

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    Oscillators By S.M.Mehzabeen

    Franklin oscillator

    79

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    SERIES RESONATING CIRCUIT

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    Oscillators By S.M.Mehzabeen

    SERIES RESONATING CIRCUIT

    80

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    PRACTICAL FRANKLIN OSCILLATOR CIRCUIT

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    Oscillators By S.M.Mehzabeen

    PRACTICAL FRANKLIN OSCILLATOR CIRCUIT

    81

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    DERIVATION OF FREQUENCY OF OSCILLATION

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    Oscillators By S.M.Mehzabeen 83

    DERIVATION OF FREQUENCY OF OSCILLATION

    LsjRsYL

    1cjYc

    CjLsRs

    LsjRsYT

    222YCYLYT = Cj

    LsjRs

    1

    CjLsRs

    LsjRs

    YT

    222

    CjLsRs

    Lsj

    LsRs

    RsYT

    222222

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    DERIVATION OF FREQUENCY OF OSCILLATION

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    Oscillators By S.M.Mehzabeen 84

    DERIVATION OF FREQUENCY OF OSCILLATION

    Equate Imaginary Part to zero:

    0222

    C

    LsRs

    Ls

    222LsRsc

    Ls

    222 Rsc

    LsLs 2

    22 1

    Ls

    Rs

    LsC

    2

    21

    Ls

    Rs

    LsC )

    1(

    2

    12

    2

    Ls

    Rs

    LsCf

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    DERIVATION OF FREQUENCY OF OSCILLATION

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    Oscillators By S.M.Mehzabeen 85

    Q

    LsCf

    2

    1

    2

    2

    Ls

    Rs1

    The impedance at resonance condition is

    determined from the real part.

    Yrzr

    1

    Rs

    LsRs

    Rs

    LsRs

    Yrzr

    222221

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    DERIVATION OF FREQUENCY OF OSCILLATION

    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen 86

    Q

    Substituting value 2

    CRs

    Lszr )1(

    2

    22

    LsRs

    LsCRsLsRszr

    RsCRs

    LsRszr

    CRs

    Lszr

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    ARMSTRONG OSCILLATOR

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    Oscillators By S.M.Mehzabeen 89

    www.Vidyarthiplus.com

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    TUNED COLLECTOR OSCILLATOR

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    Oscillators By S.M.Mehzabeen 95

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    WHY?

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    Oscillators By S.M.Mehzabeen 96

    Hence Called Tuned Collector Oscillator.

    The Tuned Circuit Is Placed In The Collector Of The

    Transistor.

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    CIRCUIT DESCRIPTION

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    Oscillators By S.M.Mehzabeen 97

    Employs Transformer Action.

    LC Oscillator.

    Voltage Across The Secondary Used As A Feedback.

    Primary Acts As A Inductor(L)

    Biasing Point Selected By R1,R2,RE.

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    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen101

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    RC Oscillatorswww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen102

    1. RC Phase shift Oscillator.

    Three types :

    2. Wein Bridge Oscillator.

    3. Twin T Oscillator.

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    TRANSISTORIZED RC FEEDBACK NETWORK

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    Oscillators By S.M.Mehzabeen103

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    RC FEEDBACK NETWORK

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    Oscillators By S.M.Mehzabeen104

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    Derivation for RC phase shift oscillator.

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    Oscillators By S.M.Mehzabeen105

    R1=R2=R

    Let c1 =c2=c3=c

    R3+(Rth II Rin)=R

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    Derivation for RC phase shift oscillator.

    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen106

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    Derivation for RC phase shift oscillator.www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen107

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    Derivation for RC phase shift oscillator.www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen108

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    Derivation for RC phase shift oscillator.www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen109

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    Derivation for RC phase shift oscillator.www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen110

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    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen112

    www.Vidyarthiplus.com

    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen113

    Solution :

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    WIEN BRIDGE OSCILLATORwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen115

    sCR

    R

    sCRZR

    ZRZ

    sC

    sRC

    sCRZRZ

    CCP

    CS

    1

    111

    11

    11

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    WIEN BRIDGE OSCILLATORwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen116

    2

    1

    1

    1

    )1(

    1

    1

    1

    11

    sCRsCR

    sCRR

    sCR

    sC

    R

    sCR

    ZZZZZ

    SP

    SP

    sC

    sRCZRZZ CS

    1

    2

    Input Loading Output Loading

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    Amplifier GainVVV

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    Oscillators By S.M.Mehzabeen117

    2

    1

    2

    21

    1

    21

    0

    1

    1

    2

    1

    210

    1

    21

    11

    21

    210

    00

    )1(

    11

    )1(

    1

    1

    ,0

    1

    ,

    sCRsCR

    sCRR

    R

    RA

    sosCRsCR

    sCRRZwhere

    R

    RZ

    I

    V

    V

    VA

    andZI

    VISince

    R

    R

    R

    RR

    V

    V

    soRRRVRIVVV

    andRR

    VIIusewe

    V

    VgetTo

    I

    V

    V

    V

    I

    VA

    r

    S

    i

    i

    r

    S

    i

    i

    oi

    o

    i

    S

    i

    iS

    r

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    Advantages and Disadvantages of wien bridge oscillator

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    Oscillators By S.M.Mehzabeen

    It uses both positive and

    negative feedback, it

    provides better stability

    and high over all gain.

    Advantages

    More components used

    costlier.

    Disadvantages

    Frequency can be easily

    adjusted by varying R or C

    It cant generate very high

    frequency.

    121

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    TWIN T OSCILLATORwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen122

    www.Vidyarthiplus.com

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    Crystal Oscillatorwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen124

    www.Vidyarthiplus.com

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    Crystal Oscillatorwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen126

    www.Vidyarthiplus.com

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    Crystal Oscillatorwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen128

    Piezoelectric effect.

    The crystal is suitably cut and then mounted between

    two metallic plates.

    The fundamental frequency is given as

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    Normally C is much smaller than C

    Crystal Oscillatorwww.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen134

    Normally, Csis much smaller than Cm.

    Therefore, Cp is slightly less than Cs.

    Hence, the frequency fpis slightly greater than fs.

    The crystal is inductive only between the frequencies fs

    and fp.

    The frequency of oscillation must lie between these

    frequencies.

    Hence the stability.

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    www.Vidyarthiplus.com

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    Oscillators By S.M.Mehzabeen135

    The fois between 411 kHz and 412 kHz.

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    Pierce Oscillator

    If we assume that the current through C1 2 is larger than

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    Oscillators By S.M.Mehzabeen136

    1

    1

    1

    CjIvo

    2

    1

    1

    CjIvi

    2

    1

    C

    Cn

    v

    v

    i

    o

    If we assume that the current through C1,2 is larger than

    the collector current (high Q), then we see that the same

    current flows through both capacitors. The voltage at the

    input and output is therefore

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    MODIFICATIONS FOR FREQUENCY STABILITY

    Enclosing the circuit in a constant temperature chamber

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    Oscillators By S.M.Mehzabeen138

    Enclosing the circuit in a constant temperature chamber.

    Maintaining constant voltage by using the zener diodes.

    Load effect is reduced by coupling the oscillator to the

    load loosely

    Circuit having high input impedance and low output

    impedance.

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    Hartley Oscillator.

    Review

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    y

    Colpitts Oscillator.

    RCPhase Shift Oscillator.

    Wien Bridge Oscillator.

    Crystal Oscillator.

    Series and Parallel Resonance