CMRR in open loop and closed loop configuration of opamp

Click For Summary
SUMMARY

The discussion focuses on the calculation of Common Mode Rejection Ratio (CMRR) for operational amplifiers (op-amps) in both open-loop and closed-loop configurations. It establishes that the CMRR for an open-loop amplifier should utilize the open-loop gain (Ad), while the CMRR for a closed-loop amplifier should use the closed-loop gain (Adm). This distinction is crucial for accurate CMRR calculations, as the differential gain behaves differently in each configuration. References include "Microelectronic Circuits (Seventh Edition)" by Sedra Smith and additional resources for further clarification.

PREREQUISITES
  • Understanding of operational amplifier (op-amp) configurations
  • Knowledge of open-loop and closed-loop gain concepts
  • Familiarity with Common Mode Rejection Ratio (CMRR) calculations
  • Basic principles of negative feedback in amplifiers
NEXT STEPS
  • Study "Microelectronic Circuits (Seventh Edition)" by Sedra Smith for in-depth understanding of op-amp theory
  • Learn about CMRR calculation methods for different op-amp configurations
  • Explore the tutorial on gain equations provided by Electronics Notes
  • Review the Analog Devices tutorial MT-042 for practical applications of CMRR
USEFUL FOR

Electrical engineers, students studying analog electronics, and professionals involved in designing or analyzing op-amp circuits will benefit from this discussion.

anubhavsingh
Messages
3
Reaction score
0
del5.JPG

For an opamp in open look configuration,
del3.JPG

1636817177569.png


Here Ad should be equal to open loop gain of opamp and

1636817202459.png


Now consider the closed loop config of opamp (negative feedback used):

del4.JPG

1636817246625.png

However, Ad is closed loop gain here (according to Sedra Smith) and
1636817281625.png

In terms of open loop gain,
1636817013666.png

A is open loop gain here.

So Adm is open loop gain in the first case and Adm is closed loop gain in the second case. How to know which gain to use in CMRR?

Reference: Microelectronic Circuits (Seventh Edition) by Sedra Smith
 

Attachments

  • 1636817120452.png
    1636817120452.png
    1 KB · Views: 187
  • 1636817162806.png
    1636817162806.png
    3.6 KB · Views: 174
Engineering news on Phys.org
anubhavsingh said:
How to know which gain to use in CMRR?
An op-amp is operated with negative feedback to maintain a low differential input voltage. An op-amp is NOT designed to be used as an open loop voltage comparator.
 
anubhavsingh said:
So Adm is open loop gain in the first case and Adm is closed loop gain in the second case. How to know which gain to use in CMRR?

Sorry, I am a little confused and incomprehensible about your question.

You have proposed two different circuits, one is an open-loop amplifier and the other is a closed-loop amplifier, and you mentioned their respective voltage gains. If I understand correctly, your question is whether you should use open-loop voltage gain or closed-loop voltage gain to calculate their respective CMRR.

If you think in accordance with the general logic, isn't this thing relatively simple?

So my understanding is of course that the CMRR of the open-loop amplifier should be calculated with the corresponding open-loop gains, and the CMRR of the closed-loop amplifier should be calculated with the corresponding closed-loop gains. :smile:🐻
 
alan123hk said:
Sorry, I am a little confused and incomprehensible about your question.

You have proposed two different circuits, one is an open-loop amplifier and the other is a closed-loop amplifier, and you mentioned their respective voltage gains. If I understand correctly, your question is whether you should use open-loop voltage gain or closed-loop voltage gain to calculate their respective CMRR.

If you think in accordance with the general logic, isn't this thing relatively simple?

So my understanding is of course that the CMRR of the open-loop amplifier should be calculated with the corresponding open-loop gains, and the CMRR of the closed-loop amplifier should be calculated with the corresponding closed-loop gains. :smile:🐻
Yes, but why is that? Why can's the meaning of differential gain remains consistent whether the opamp is open loop or closed loop. Why should in closed loop configuration, the differential gain should not refer to the open loop gain of opamp as in open loop configuration? Just looks ambiguous to me.
 
anubhavsingh said:
Yes, but why is that? Why can's the meaning of differential gain remains consistent whether the opamp is open loop or closed loop. Why should in closed loop configuration, the differential gain should not refer to the open loop gain of opamp as in open loop configuration? Just looks ambiguous to me.
Try this site, it describes/explains some of the details you are asking about.
https://www.electronics-notes.com/a...erational-amplifier-op-amp/gain-equations.php

Cheers,
Tom
 
anubhavsingh said:
Yes, but why is that? Why can's the meaning of differential gain remains consistent whether the opamp is open loop or closed loop. Why should in closed loop configuration, the differential gain should not refer to the open loop gain of opamp as in open loop configuration? Just looks ambiguous to me.

To be honest, so far I don’t seem to be sure what the crux of the problem you want to discuss is.
But based on the CMRR-related content described in your first post, I believe the following article may be helpful to you. If you can fully understand the content of this article, including the equations mentioned, then your doubts may be solved.

https://www.analog.com/media/en/training-seminars/tutorials/MT-042.pdf
 

Similar threads

Replies
5
Views
3K
  • · Replies 16 ·
Replies
16
Views
25K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
12K
Replies
9
Views
4K