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Paul's Posts — 12 July 2012

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Op amps

I promised yesterday we’d get started understanding op amps.  I know some of you already get them so I hope you can tolerate some simple explanations.

This subject is actually very interesting because this class of amplification device is at the core of almost everything in audio today and while simple on the surface, there’s lots to know.  Therefore I will break this up into a bunch of little posts to help you assimilate the info one day at a time.  First let’s start with a bit of history.

Op Amp stands for Operational Amplifier and despite the fact it permeates nearly every audio design in solid state electronics it was never designed to be an audio amplification device.  In fact, operational amplifiers were designed to work as the core building blocks of analog computers.

“What’s an analog computer?  I thought that computers were all digital?”  Just like everything we think of as new digital wonders they all started with analog versions and, of course, there are many types but a slide rule is a good example of one.  The electronic equivalent or a slide rule is what op amps were originally charged with doing and they did it well.

Here’s an example of how we might make a calculation using an op amp.  Because op amps are essentially perfect voltage amplifiers you can easily set their gain or multiplication factor with a simple set of resistors.  Let’s say I want to multiply a number by 10.  I simply set the gain of my op amp to a gain of 10.  Now when I input a voltage, let’s say 1 volt, the output of the op amp is 10 volts.  Volia!  We just did a math function and all I need to do is connect a meter to the output to know the answer.  This sounds too simple to be valuable because you can do the math in your head but now let’s try a harder math problem.  Multiply Pi 3.1414 times 8.215 and the op amp merrily (and instantly) spits out 28.8066 volts.  You can divide, add, subtract and perform complex math of any kind.  Limiting you say?  Consider that when we sent men to the moon the calculations needed were performed on slide rules (mechanical analog computers) – and I’ll bet setting foot on the moon took some heavy math!

So op amps using vacuum tubes and then transistors were running computers years ago but then something happened: Bob Widlar (from yesterday’s post) integrated this circuit onto a single piece of silicon, then packaged this perfect voltage amplifier into a small and, soon to be, affordable package with 8 pins for a single op amp and 14 pins for a dual op amp.  This changed everything for every engineer in the world including, you guessed it, audio designers.

The popularity of the packaged IC op amp was immediate and overwhelming.  The original Fairchild 701 and later their 709 had a two year waiting period for advance orders so swamped were they with orders – and they were $100 each!  By the late 1960′s and early 1970′s when most audio designers starting using these little gems, the price had dropped to around $1 each.  So imagine purchasing two perfect voltage amplifiers in one package for $0.50 each.  This was the Garden of Eden and we all took a bite out of that apple.

Why?  Well obviously the low cost but perhaps most important is the ability to use a building block rather than having to build the block itself.  There are only 5 pins to connect on an op amp and two of those connect up to the battery or power supply.  This meant that you could design a preamplifier for an audio product by connecting a few resistors up to three pins – two inputs and one output and you had a product.  Design time for the schematic?  Less than 1 minute and you were guaranteed it world work.

Enticing?  You bet.  Tomorrow let’s look a little deeper.

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About Author

Paul McGowan is the CEO and co-founder of PS Audio Inc. a Boulder Colorado design and manufacturing company of high-end audio products and services. McGowan has been designing and building high-end products for nearly 40 years. Hobbies include skiing, music, hiking, artisan bread baking, kick boxing and cooking. He lives in Boulder Colorado with his wife Terri and his 4 sons.

(5) Readers Comments

  1. Paul, you’ve been intimately involved for a long time in the world of performance/design options… could you pls make a point to explain for folk the somewhat-fine distinction and hence often misunderstanding: although the term “op-amp” is short for Operational Amplifier; and as many people simply associate “op-amp” = IC = Integrated Circuit (and others automatically then assign the label “op-amp” = evil); but — there are plenty of “op-amps” used in audio today which are not integrated circuit implementations.

    Operational Amplifier refers to a ***topology or functionality***; there are many “op-amp” functions implemented with discrete components.

    You know the story, but as you’ve got the bully pulpit, perhaps you can help others in understanding this sometimes-confusing issue of terminology…

    • Yup, that’s what this series is about and hopefully I can do exactly what you ask – if you’re following along and I get too buried in the details and don’t accomplish this, let me know!

  2. I’m making it a point to talk with voc-tech instructors I know to get them and their students on these posts. It’s one thing to learn the technology, but it is wonderful to understand the historical context.
    I know some of the history, but these posts are very entertaining!

  3. the version sent to me by a friend had pi at 3.414 i usually use 3.14159, but as i registered to comment i see it as 3.1414, still not it if you round up the nine you get 6 (3.1416 and what i got sent to me “Multiply Pi 3.414 times 8.215 and the op amp merrily (and instantly) spits out 28.04601 volts. )

    this in no way affects your articles veracity, it just makes me wonder what else may have slipped in.

    Some approximations of π include:

    Decimal: The first 100 decimal digits are 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 ….[21]
    Binary: 11.00100100001111 ….
    Hexadecimal: The base 16 approximation to 20 digits is 3.243F6A8885A308D31319 ….[22]
    Sexagesimal: A base 60 approximation is 3:8:30.[23]
    Fractions: Approximate fractions include (in order of increasing accuracy) 227, 333106, 355113, 5216316604, and 10399333102.[18]

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