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Operational Amplifiers at Higher Frequencies

George Rutkowski, P.E.


Course Outline

This course includes a Review of Fundamentals and Glossary of Terms. It reviews and introduces many basic equations and terms related to applications of operational amplifiers (Op Amps). Manufacturers’ specifications (Specs) are included and are values applicable at low frequencies. At higher frequencies, these tend to change and affect how well Op Amp applications perform.  

In this course, you will consider problems caused by the decrease (roll-off) of the open-loop gain AVOL at higher frequencies and how the gain vs. frequency curves of some Op Amps can be tailored by the circuit designer. With other Op Amp types, the gain versus frequency curves are set by the manufacturer. The universally accepted definition of the term bandwidth (BW) is described here. And you will learn the multiple ways that BW of amplifiers are determined. You will also become familiar with other notable frequency-related performances, such as output-voltage swing capabilities, slew rates (switching speeds), common-mode-rejection ratios and that Op Amps’ have internally-generated noise.

This course covers the following topics:

This course includes a multiple-choice quiz at the end, which is designed to enhance the understanding of the course materials.


Learning Objective

At the conclusion of this course, the student will:

Intended Audience

Engineers, technologists and anyone familiar with Ohm’s and Kirchoff’s laws (basic electrical circuits) that are interested in becoming competent with this very flexible electronic component.

Benefit for Attendee

Operational Amplifiers have many useful characteristics; their ease of use, typically low cost, compact size, large range of applications and low power consumption to name a few. But they have limitations too. Here you will see some including limited bandwidth, reduced common-mode rejection and increased thermally generated noise with larger bandwidths. If you have to select, or replace, an Op Amp that must operated with a wider bandwidth, you’ll know what specified parameters to look for. 

Course Introduction

This course includes a Review of Fundamentals and Glossary of Terms. It reviews and introduces many basic equations and terms related to applications of operational amplifiers (Op Amps). Manufacturers’ specifications (Specs) are included and are values applicable at low frequencies. At higher frequencies, these tend to change and affect how well Op Amp applications perform.


Course Content

The course content are in the following PDF files:

Chapter 6 - Op Amp’s behavior at Higher Frequencies
Appendix A – Specs of the 741 Op Amp
Table E-1 – List of  Typical Op Amps, their Parameters and Specs
Appendix I – Derivation of equation 6-1
Review of Fundamentals and Glossary of Terms

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Course Summary

Knowing how Operational Amplifiers behave at higher frequencies is important in our modern world of digital electronic systems in which operational amplifiers often work. In such environments manufacturers’ specified terms like bandwidth, rise-and-fall times, slew rates and gain-bandwidth products define how well Op Amps will work in existing or contemplated applications. These terms are explained in this lesson.  

This course begins with a review of operational amplifiers including a glossary of terms and equations related to circuit applications of Op Amps. Some of these terms, that are defined here, are specifications provided in the manufacturers’ literature. The equations are for inverting amplifier gain, noninverting amplifier gain, common-mode gain, and effective input resistance & output resistances. These were described in more detail, and derivations provided, in previous courses.

You’ll see that at higher frequencies, the Op Amp circuit’s output signal phase shifts and can cause the circuit to be unstable. How unstable operation is avoided is discussed here. Depending on the frequency range to be amplified, the choice of using a compensated or uncompensated Op Amp is selected. You’ll learn how to determine the amplifier’s bandwidth (BW) from its gain vs. frequency curve, its specified Slew Rate, or its output waveform as observed on an oscilloscope. The causes of added harmonics and of reduction of harmonics are described. Included is a discussion of where noise, in addition to induced noise, comes from; how generated.      

Included here are descriptions of how typical Op Amps behave at higher frequencies. Op Amps at low frequencies, and when wired to have negative feedback, have output signals that are 180 degrees out of phase with input signals at the inverting input. At higher frequencies, however, the output signal’s phase shifts away from 180°. The greater this shift, the more in-phase the output signal become with the input signal. An in-phase feedback is a positive feedback that makes the amplifier unstable; that is, it can assert random oscillations and unpredictable variations at the output regardless of the input waveforms.


Related Links

For additional technical information related to this subject, please visit the following websites:

Operational Amplifiers (Op Amps) Applications by National Semiconductor
http://www.national.com/analog/amplifiers/application_notes
http://en.wikipedia.com/wiki/Operational_amplifier_applications
http://www.tmworld.com/article/CA6582570.html

Quiz

Once you finish studying the above course content, you need to take a quiz to obtain the PDH credits.

Take a Quiz


DISCLAIMER: The materials contained in the online course are not intended as a representation or warranty on the part of PDH Center or any other person/organization named herein. The materials are for general information only. They are not a substitute for competent professional advice. Application of this information to a specific project should be reviewed by a registered architect and/or professional engineer/surveyor. Anyone making use of the information set forth herein does so at their own risk and assumes any and all resulting liability arising therefrom.