operational amplifiers - georgia institute of...

Operational AmplifiersME 6405, Fall ‘04

Martin GudemNurudeen Olayiwola

Henry Won

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Operational Amplifiers

Goals:• Introduction• Characteristics• Types• Models VS. reality

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Introduction

Most transducers provide analog signals:

• Too small• Too noisy

•Wrong information•DC offset

Measurement system

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Amplifiers

• Ideally: Increase amplitude without affecting other properties of the signal

Av =VoutVin

Zin =VinIin

Zout =VoutIout

• Voltage gain:

• Impedances:

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Terminology

Closed loop → Stabilized signal

Open loop

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Ideal Model

• Aid in circuit analysis

1. I+ = I- = 02. V+ = V-

3. Zout = 0

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Configuration

• 741 General purpose amplifier

Pin-out

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Internal design

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The Ideal Op-Amp

• Infinite Input Resistance• Zero input current• Zero Output Resistance• Infinite Gain• Common Mode Voltage Gain Zero• Zero Noise / Zero Output Allowed• Unlimited Bandwith• Temperature Independent

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Ideal v. Real Op-Amps

100 – 1000 Ω0Output Resistance

10-50Common Mode Gain

Attenuates and phases at high frequencies (depends

on slew rate)

infinityBandwidth

10-12 – 10-8 A0Input Current

Bandwidth and gainindependentTemperature

105 - 109infinityOperational Gain

106 Ω (bipolar)109 Ω - 1012 Ω (FET)

infinityInput Resistance

Typical Op-AmpIdeal Op-Amp

http://hyperphysics.phy-astr.gsu.edu/hbase/electronic/opampcon.html#c1

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Op-Amps for Math

• Inverting• Non-Inverting• Summing• Differencing• Integrating• Differentiating

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Inverting

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Non - Inverting

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Summing Op-Amp

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Differencing Op-Amp

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Integrating Op-Amp

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Differentiating Op-Amp

“An Application Guide for Op-Amps”, National Semi-Conductor, Application Note 20, February 1969.

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Use of an Op amp

• Filters:3 types 1. Low Pass Filter (LPF)

– Used to filter higher freq.

2. High Pass Filter (HPF)– used to filter low freq.

3. Band Pass Filter (BPF)-a combination of LPF and HPF

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Contd.

• Dual input (dual source – and + with respect to ground), – Used in audio equip. control circuits, medical equipment, etc.

• Single input

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Order of filters

• First order• Second orderOur examples show second order Filters.- What was the order of the filter we used in lab?

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LPF

This filter is used to remove noise signals that are above the specified frequency.The frequency range is given by the equation below

Where f=freq.R=R2C=C1

RCf

π21

=

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HPF

HPF is used to remove all freq.Below the specified freq. and it isCreated by reversing the positionof the capacitor and resistor In a LPF

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BPF

This is a combination of the LPF and HPF. It allows for freq. within the range for the LPF and HPF.

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Instrumentation OP Amp

This is used in Situations where output voltageneeds to varied.

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Analysis of instrumentation op amp

• Vo = Vo1 – Vo2• Vo1=V1+VR• Vo2 =V2 – VR• VR = (V1-V2)R/RA• Vo= V1-V2+2VR =(V1-V2)(1+2R/RA)

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The use of filters

• Communications• Removing noise from a power input

• Radio communications• Infrared/ LED signals transm.• Etc

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Conclusions

• One major disadvantage– Distortion when dealing with really low freq. ranges

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Conclusions contd.

• Advantages– Useable in different industries– Signal and power amplification– Simple– Cheap and easy to build– Makes life easier– Math operations

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References

• www.electronics-tutorials.com• www.play-hookey.com• Alcitore, Histand Introduction to Mechatronics and Measurement Systems