Operational Amplifier 

By on

The fundamental component of any analogue computer is the operational amplifier, or op amp. An operational amplifier (often called an op-amp,) is a high-gain electronic voltage amplifier with a differential input and, usually, a single-ended output.

Op-amps are among the most widely used electronic devices today, being used in a vast array of consumer, industrial, and scientific devices. Many standard IC op-amps cost only a few cents in moderate production volume; however some integrated or hybrid operational amplifiers with special performance specifications may cost significantly more.

Operation

Basic Op Amp CircuitThe amplifier's differential inputs consist of a V+ input and a V input, and ideally the op amp amplifies only the difference in [[voltage]] between the two (called the differential input voltage). The output voltage of the op-amp is given by the equation:

myElectrical Equation 

where V+ is the voltage at the non-inverting terminal, V- is the voltage at the inverting terminal and AOL is the open-loop gain of the amplifier.

The magnitude of AOL is typically very large (seldom less than a million) and even a quite small differential input voltage will result in amplifier saturation.

If linear operation is desired, negative feedback must be used and is usually achieved by applying a portion of the output voltage to the inverting input. The feedback enables the output of the amplifier to keep the inputs at or near the same voltage so that saturation does not occur.

Idea Op Amp

An ideal op-amp is would have the following properties. In practice, none of these ideals can be realized, and various shortcomings and compromises have to be accepted.

  • Infinite open-loop gain
  • Infinite voltage range available at the output
  • Infinite bandwidth
  • Infinite input impedance
  • Zero input current
  • Zero input offset voltage
  • Infinite slew rate
  • Zero output impedance
  • Zero noise
  • Infinite common-mode rejection ratio (CMRR)
  • Infinite power supply rejection ratio

Applications

Op-amps are often used in electronic circuit design. The use of op-amps as circuit blocks is generally much easier and clearer than specifying all their individual circuit elements ([[transistors]],[[resistor| resistors]], etc.).

Basic Op 'Amp' Circuits

 

Circuit Transfer Function
Inverting amplifier
myElectrical Equation
Non-inverting amplifier
myElectrical Equation
Differential input amplifier

myElectrical Equation

with

myElectrical Equation

Adding, Subtracting & Scaling
myElectrical Equation
Voltage follower
myElectrical Equation
Current amplifier

myElectrical Equation
Integrating amplifier
myElectrical Equation
Differentiating amplifier

myElectrical Equation

 

Voltage Gain of Op-amps

Op Amp Gain
Op-amp Gain

Real op-amp such as the commonly available uA741, do not have infinite gain or bandwidth but have a typical "Open Loop Gain". This is defined as the amplifiers output amplification without any external feedback signals connected to it and for a typical operational amplifier is 105 to 106 at DC (zero Hz). This output gain decreases linearly with frequency down to "Unity Gain" or 1, at about 1MHz.



Steven McFadyen's avatar Steven McFadyen

Steven has over twenty five years experience working on some of the largest construction projects. He has a deep technical understanding of electrical engineering and is keen to share this knowledge. About the author

myElectrical Engineering

comments powered by Disqus

  1. on ap's avatar on ap says:
    10/26/2013 4:59 PM

    I like this page so much. All imformation here help for my work


Comments are closed for this post:
  • have a question or need help, please use our Questions Section
  • spotted an error or have additional info that you think should be in this post, feel free to Contact Us



Introduction to Cathodic Protection

If two dissimilar metals are touching and an external conducting path exists, corrosion of one the metals can take place.  Moisture or other materials...

Back to Basics - Ohm’s Law

Electrical engineering has a multitude of laws and theorems. It is fair to say the Ohm's Law is one of the more widely known; it not the most known. Developed...

Generator Sizing & Operation Limits

When selecting a generator, there are inherent limits on the active and reactive power which can be delivered. Generators are normally sized for a certain...

Cable Insulation Properties

Cable insulation is used to provide electrical separation between conductors of  a cable.  During the historical development of cables, numerous types...

Always Use PPE

A lot of our members work in countries where PPE (personal protective equipment) is regulated or they work for companies/organizations which take employee...

Capacitor Theory

Capacitors are widely used in electrical engineering for functions such as energy storage, power factor correction, voltage compensation and many others...

HTML Symbol Entities

HTML supports a variety of entity symbols which can be entered using either numbers or an entity name.  The number or name is preceded by the ‘&’ sign...

New Mail Chimp

We've been sending out Newsletters on a regular basis for a few weeks now. To do this we have been using Google's Feedburner service. While Feedburner...

ABB Technical Guides - Motor Operation

ABB has produced a range of technical guides that offer concise explanations of the major technologies and technical issues in low voltage AC drives. ...

Induction Motor Equivalent Circuit

Induction motors are frequently used in both industrial and domestic applications.  Within the induction motor, an electrical current in the rotor is induced...

Have some knowledge to share

If you have some expert knowledge or experience, why not consider sharing this with our community.  

By writing an electrical note, you will be educating our users and at the same time promoting your expertise within the engineering community.

To get started and understand our policy, you can read our How to Write an Electrical Note