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Department of Mechanical Engineering Chapter 6-3 Operational amplifier
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Chapter 6-3 Operational amplifier - University of Pittsburghqiw4/Academic/MEMS0031/Chapter6-3.pdfChapter 6-3 Operational amplifier . Department of Mechanical Engineering Some Op-amps

Feb 18, 2021

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  • Department of Mechanical Engineering

    Chapter 6-3 Operational amplifier

  • Department of Mechanical Engineering

    Some Op-amps

    Current to Voltage Amplifier

    Voltage-to-Current Amp

  • Department of Mechanical Engineering

    Some Op-amps

    Precision Diode Putting a diode in the feedback path produces a diode which gives virtually zero output for half a cycle and a gain of unity for the other half cycle. It can therefore rectify signals which are smaller than a diode drop. This device would usually be followed by a voltage follower.

  • Department of Mechanical Engineering

    Summing Amplifier Apply Kirchoff’s current law to the V- node:

    0...21 =++++ RFRNRR IIII

    0...2

    2

    1

    1 =++++⇒F

    OUT

    N

    N

    RV

    RV

    RV

    RV

    Like the inverting amp, V- = 0

    +++−=⇒

    N

    NFOUT R

    VRV

    RVRV ...

    2

    2

    1

    1

  • Department of Mechanical Engineering

    Input Impedances

    Input impedance seen by: – Input 1 = R1 – Input 2 = R2 – Input N = RN

  • Department of Mechanical Engineering

    Example

  • Department of Mechanical Engineering

    Summing amplifier applications

    If the input resistances of a summing amplifier are connected to potentiometers the individual input signals can be mixed together by varying amounts. For example, you could produce an audio mixer for adding or mixing together individual waveforms (sounds) from different source channels (vocals, instruments, etc) before sending them combined to an audio amplifier.

    Summing Amplifier Audio Mixer

  • Department of Mechanical Engineering

    Non-inverting summing amplifier

    14vKVout ′=

    At node 1

    At node 2 ( )[ ] 01 321

    2

    3

    32

    2

    22

    1

    12 =++−

    ′+

    −′+

    −′+

    −′KKKR

    vKRvv

    KRvv

    KRvv

    aaaa

    3322112 vKvKvKv ++=′

    ( )3322114 vKvKvKKvout ++=

  • Department of Mechanical Engineering

    Non-Inverting Summing Amplifier

    1

    21RR

    VVOUT +=

    +

    2

    0

    21

    21

    VVV

    RVV

    RVV

    +=⇒

    =−

    +−

    +

    ++

    21 21

    1

    2 VVRRVOUT

    +

    +=∴

    21 VVVOUT +=∴If R1=R2

  • Department of Mechanical Engineering

    Non-Inverting Summing Amplifier

    1

    21RR

    VVOUT +=

    +

    3

    0

    21

    21

    VVV

    RV

    RVV

    RVV

    +=⇒

    =−

    +−

    +−

    +

    +++

    31 21

    1

    2 VVRRVOUT

    +

    +=∴

    21 VVVOUT +=∴If R2=2R1

  • Department of Mechanical Engineering

    Design Example A customer want to automate a pressure measurement, which requires

    converting the output of the pressure transducer to a computer input. The conversion can be done using a standard integrated circuit called an analog-to-digital converter (ADC). The ADC requires an input voltage between 0V to 10V, while the pressure transducer output varies between -250mV and 250mV. Design a circuit to interface the pressure transducer with the ADC.

    VvVmVvmV

    100250250

    2

    1

    ≤≤≤≤−

  • Department of Mechanical Engineering

    Design Example bavv += 12 ( )( ) bmVaV

    bmVa+=

    +−=25010

    2500

    VbVVa

    520

    ==

    520 12 += vv

    A Design plan

  • Department of Mechanical Engineering

    Design Example

  • Department of Mechanical Engineering

    Example Design a circuit having three inputs, v1, v2, v3, and

    two output va and vb, that are related by the equation, assuming a 5-V source available

    +

    −=

    4

    20682312

    3

    2

    1

    vvv

    vv

    b

    a

  • Department of Mechanical Engineering

    Example

  • Department of Mechanical Engineering

    Example A microphone has an unloaded voltage vs=20mV. An op amp is

    available as shown. It is desired to provide an output voltage of 4V. Design an inverting circuit and a noninverting circuit and contrast the input resistance at terminal x-y seen by the microphone. Which configuration would you recommend in order to achieve good performance in spite of changes in the microphone resistance.

  • Department of Mechanical Engineering

    Example

    For example, Let R1=0, and R2=2MΩ

  • Department of Mechanical Engineering

    Example

    MEMS1082Some Op-ampsSome Op-ampsSumming AmplifierInput ImpedancesExampleSumming amplifier applicationsNon-inverting summing amplifierNon-Inverting Summing AmplifierNon-Inverting Summing AmplifierDesign ExampleDesign ExampleDesign ExampleExampleExampleExampleExampleExample