feedback and oscillator circuits (note)

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  • 8/3/2019 Feedback and Oscillator Circuits (Note)

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    Gain, input/output impedance, frequency response, noise, linearity

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    4 types of feedback

    Voltage-series

    Current-series

    Voltage-shunt

    Current-shunt

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    Feedback Amplifier Types

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    Voltage-Series Feedback

    Vo = A*Vi = A(Vs Vf) = A*Vs A*Vf = A*Vs A(A)Vo

    (1 + A)Vo = A*Vs

    Vo/Vs = A/(1 + A)

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    Voltage-Series Voltage-Shunt Current-Series Current-Shunt

    Gain w/o A Vo/Vi Vo/Ii Io/Vi Io/Ii

    Feedback Vf/Vo If/Vo Vf/Io If/Io

    Gain with Af Vo/Vs Vo/Is Io/Vs Io/Is

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    Vo/Vs = A/(1 + A*Bf)

    Voltage-Series with input and output resistances

    Voltage-series feedback - Avf, Zif, Zof

    Avf = Vo/Vs

    Vo = A*Vi

    Vi = Vs Bf*Vo

    Vo = A*(Vs Bf*Vo)

    Vo(1 + A*Bf) = A*Vs

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    Vs Vi Bf*Vo = 0

    Vi = Is*Zi

    Vo = A*Vi

    so,

    Vs Is*Zi Bf*A*Is*Zi = 0

    Vs/Is = Zi(1 + Bf*A)

    Zof

    Disconnect RL and replace with Vx

    Zof = Vx/Ix

    Vx = Ix*Zo + A*Vi

    Vi = -Vf = -B*Vx

    Vx = Ix*Zo + A(-B*Vx)

    Vx(1 + BA) = Ix*Zo

    Zof = Vx/Ix = Zo/(1 + BA)

    Zif = Vs/Is

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    age-Series

    Voltage-Series

    Volt

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    Common-emitter amplifier with an emitter resistor.Current-Series

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    Voltage-shunt feedback

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    Voltage-Shunt

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    eedbackCurrent-series f

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    urrent-shunt feedbackC

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    Vs = Ii*Zi

    Is = Ii + B*Io

    = Ii + B*A*Ii

    Is = (Vs/Zi)(1 + BA)

    Vs/Is = Zi/(1 + BA)

    Now disconnect RL and replace with Vx

    Realize that Zo is in parallel with the A*Ii = Io source,

    Zof = Vx/Ix

    Vx = (Io + Ix)*Zo

    A*Ii Vx/Zo = Io = - Ix

    A*(-B*-Ix) Vx/Zo = -Ix

    (B*A + 1)Ix = Vx/Zo

    Zf = Vx/Ix = Zo(1 + B*A)

    Zif = Vs/Is

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    etermine the following,

    a) f = 1.44/(RA + 2RB)C

    C = 0.16nF

    b) T(high) = 1.1RA*C

    C = 4.24nF

    D

    b) This single shot has a pulse width of 35s. RA = 7.5K.

    What is the value of the capacitor, C ?a) The frequency of this oscillator is 400 kHz.

    What is the value of the capacitor, C ?

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    db k d ill i i f

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    F db k d O ill t Ci it 28 f 28

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