CMRR in open loop and closed loop configuration of opamp

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In op-amps, the Common Mode Rejection Ratio (CMRR) is calculated differently for open-loop and closed-loop configurations. The open-loop gain (Adm) is used for CMRR in open-loop setups, while the closed-loop gain is applied in closed-loop configurations. The discussion highlights confusion regarding the consistency of differential gain definitions across these configurations. It emphasizes that the differential gain in closed-loop systems does not refer to the open-loop gain, which can lead to ambiguity. Understanding these distinctions is crucial for accurate CMRR calculations in various op-amp applications.
anubhavsingh
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del5.JPG

For an opamp in open look configuration,
del3.JPG

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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
 

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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
 
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