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A certain Op-Amp has an open loop voltage gain of 1,00,000 and a common mode gain of 0.2. The CMRR is :
- a)500000
- b)114 dB
- c)22.8 dB
- d)100000
Correct answer is option 'A,B'. Can you explain this answer?
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Verified Answer
A certain Op-Amp has an open loop voltage gain of 1,00,000 and a commo...
Aol = 100000
Acm = 0.2
Expressed in decibels
CMRR =
= 114dB
The correct answers are: 500000, 114 dB
Acm = 0.2
Expressed in decibels
CMRR =
= 114dB
The correct answers are: 500000, 114 dB
Most Upvoted Answer
A certain Op-Amp has an open loop voltage gain of 1,00,000 and a commo...
Open Loop Voltage Gain:
The open loop voltage gain of an op-amp is a measure of its amplification capability when no feedback is applied. In this case, the op-amp has an open loop voltage gain of 1,00,000, which means that the output voltage is 1,00,000 times greater than the input voltage.
Common Mode Gain:
The common mode gain of an op-amp is a measure of how much the output voltage changes when the same voltage is applied to both input terminals. In this case, the op-amp has a common mode gain of 0.2, which means that the output voltage changes by 0.2 times the input voltage when the same voltage is applied to both input terminals.
Common Mode Rejection Ratio (CMRR):
The common mode rejection ratio (CMRR) is a measure of the op-amp's ability to reject common mode signals. It is defined as the ratio of the open loop voltage gain to the common mode gain.
CMRR Calculation:
CMRR = Open Loop Voltage Gain / Common Mode Gain
= 1,00,000 / 0.2
= 5,00,000
Hence, the CMRR of the op-amp is 5,00,000.
Conversion to dB:
To convert the CMRR to decibels (dB), we can use the formula:
dB = 20 * log10(CMRR)
CMRR in dB:
CMRR(dB) = 20 * log10(5,00,000)
= 20 * log10(5) + 20 * log10(10,000)
= 20 * 0.698 + 20 * 4
= 13.96 + 80
= 93.96 dB
Therefore, the CMRR of the op-amp is approximately 93.96 dB.
Answer:
The correct answer is options A and B. The CMRR of the op-amp is 5,00,000 or 93.96 dB.
The open loop voltage gain of an op-amp is a measure of its amplification capability when no feedback is applied. In this case, the op-amp has an open loop voltage gain of 1,00,000, which means that the output voltage is 1,00,000 times greater than the input voltage.
Common Mode Gain:
The common mode gain of an op-amp is a measure of how much the output voltage changes when the same voltage is applied to both input terminals. In this case, the op-amp has a common mode gain of 0.2, which means that the output voltage changes by 0.2 times the input voltage when the same voltage is applied to both input terminals.
Common Mode Rejection Ratio (CMRR):
The common mode rejection ratio (CMRR) is a measure of the op-amp's ability to reject common mode signals. It is defined as the ratio of the open loop voltage gain to the common mode gain.
CMRR Calculation:
CMRR = Open Loop Voltage Gain / Common Mode Gain
= 1,00,000 / 0.2
= 5,00,000
Hence, the CMRR of the op-amp is 5,00,000.
Conversion to dB:
To convert the CMRR to decibels (dB), we can use the formula:
dB = 20 * log10(CMRR)
CMRR in dB:
CMRR(dB) = 20 * log10(5,00,000)
= 20 * log10(5) + 20 * log10(10,000)
= 20 * 0.698 + 20 * 4
= 13.96 + 80
= 93.96 dB
Therefore, the CMRR of the op-amp is approximately 93.96 dB.
Answer:
The correct answer is options A and B. The CMRR of the op-amp is 5,00,000 or 93.96 dB.
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A certain Op-Amp has an open loop voltage gain of 1,00,000 and a common mode gain of 0.2. The CMRR is :a)500000b)114 dBc)22.8 dBd)100000Correct answer is option 'A,B'. Can you explain this answer?
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