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An op-amp has a common mode gain of 0.01 and a differential mode gain of 105. Its CMRR would be
- a)10–7
- b)10–3
- c)103
- d)107
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An op-amp has a common mode gain of 0.01 and a differential mode gain ...
-In electronics, the common mode rejection ratio (CMRR) of a differential amplifier (or other device) is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs.
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An op-amp has a common mode gain of 0.01 and a differential mode gain ...
CMRR (Common Mode Rejection Ratio) is a measure of an operational amplifier's ability to reject common mode signals. It is defined as the ratio of the differential mode gain to the common mode gain.
Given data:
Common mode gain (ACM) = 0.01
Differential mode gain (ADM) = 105
To calculate CMRR, we can use the formula:
CMRR = ADM / ACM
Let's substitute the given values into the formula:
CMRR = 105 / 0.01
= 10500
Therefore, the CMRR of the op-amp is 10500.
Explanation:
The CMRR of an op-amp is a measure of its ability to reject common mode signals. Common mode signals are those that appear equally on both input terminals of the op-amp, while differential mode signals are the ones that have different amplitudes on the input terminals.
A high CMRR indicates a better ability to reject common mode signals, making the op-amp more suitable for applications that require high precision and accuracy.
In this case, the given op-amp has a common mode gain of 0.01, which means that for a common mode input signal, the output will be amplified by a factor of 0.01. On the other hand, it has a differential mode gain of 105, which means that for a differential mode input signal, the output will be amplified by a factor of 105.
By calculating the ratio of the differential mode gain to the common mode gain (CMRR = ADM / ACM), we get a CMRR value of 10500. This indicates that the op-amp has a very high ability to reject common mode signals, making it suitable for applications where common mode noise needs to be minimized.
Therefore, option D is the correct answer.
Given data:
Common mode gain (ACM) = 0.01
Differential mode gain (ADM) = 105
To calculate CMRR, we can use the formula:
CMRR = ADM / ACM
Let's substitute the given values into the formula:
CMRR = 105 / 0.01
= 10500
Therefore, the CMRR of the op-amp is 10500.
Explanation:
The CMRR of an op-amp is a measure of its ability to reject common mode signals. Common mode signals are those that appear equally on both input terminals of the op-amp, while differential mode signals are the ones that have different amplitudes on the input terminals.
A high CMRR indicates a better ability to reject common mode signals, making the op-amp more suitable for applications that require high precision and accuracy.
In this case, the given op-amp has a common mode gain of 0.01, which means that for a common mode input signal, the output will be amplified by a factor of 0.01. On the other hand, it has a differential mode gain of 105, which means that for a differential mode input signal, the output will be amplified by a factor of 105.
By calculating the ratio of the differential mode gain to the common mode gain (CMRR = ADM / ACM), we get a CMRR value of 10500. This indicates that the op-amp has a very high ability to reject common mode signals, making it suitable for applications where common mode noise needs to be minimized.
Therefore, option D is the correct answer.
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