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The certain inverting amplifier has a closed loop gain of 25. The Op-Amp has an open-loop gain of 100000. If another Op-Amp with an open loop gain of 200000 is substituted in the configuration, the closed loop gain is?
Correct answer is '25'. Can you explain this answer?
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The certain inverting amplifier has a closed loop gain of 25. The Op-A...
The closed loop gain depends on the configuration and open loop gain is completely independent of it. Hence even if open loop gain is changed, the closed loop gain remains at 25 with the same configuration.
The correct answer is: 25
The correct answer is: 25
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The certain inverting amplifier has a closed loop gain of 25. The Op-A...
The Inverting Amplifier
In order to understand the closed loop gain of the inverting amplifier, we need to first understand the concept of open loop gain and closed loop gain.
Open Loop Gain
The open loop gain of an operational amplifier (Op-Amp) is the gain of the amplifier when no feedback is applied. It is a measure of the amplifier's intrinsic amplification capability and is typically very large. In this case, the first Op-Amp has an open loop gain of 100000 and the second Op-Amp has an open loop gain of 200000.
Closed Loop Gain
The closed loop gain of an amplifier is the gain when feedback is applied. In the case of the inverting amplifier, the closed loop gain can be calculated using the formula:
Closed Loop Gain = - (Rf / Rin)
where Rf is the feedback resistor and Rin is the input resistor.
Calculating the Closed Loop Gain
Given that the closed loop gain of the first Op-Amp is 25, we can use the formula to calculate the feedback resistor:
25 = - (Rf / Rin)
Since the closed loop gain is positive, the feedback resistor should be negative. Let's assume Rf = -1kΩ.
Now, let's substitute the second Op-Amp with an open loop gain of 200000 into the configuration. Since the closed loop gain formula remains the same, the feedback resistor will still be -1kΩ.
Understanding the Closed Loop Gain
The closed loop gain is determined by the ratio of the feedback resistor to the input resistor. In this case, the feedback resistor remains the same at -1kΩ. Therefore, the closed loop gain will also remain the same at 25.
Conclusion
In summary, the closed loop gain of the inverting amplifier remains 25 even when the Op-Amp with an open loop gain of 200000 is substituted into the configuration. This is because the closed loop gain is determined by the ratio of the feedback resistor to the input resistor, and in this case, the feedback resistor remains the same.
In order to understand the closed loop gain of the inverting amplifier, we need to first understand the concept of open loop gain and closed loop gain.
Open Loop Gain
The open loop gain of an operational amplifier (Op-Amp) is the gain of the amplifier when no feedback is applied. It is a measure of the amplifier's intrinsic amplification capability and is typically very large. In this case, the first Op-Amp has an open loop gain of 100000 and the second Op-Amp has an open loop gain of 200000.
Closed Loop Gain
The closed loop gain of an amplifier is the gain when feedback is applied. In the case of the inverting amplifier, the closed loop gain can be calculated using the formula:
Closed Loop Gain = - (Rf / Rin)
where Rf is the feedback resistor and Rin is the input resistor.
Calculating the Closed Loop Gain
Given that the closed loop gain of the first Op-Amp is 25, we can use the formula to calculate the feedback resistor:
25 = - (Rf / Rin)
Since the closed loop gain is positive, the feedback resistor should be negative. Let's assume Rf = -1kΩ.
Now, let's substitute the second Op-Amp with an open loop gain of 200000 into the configuration. Since the closed loop gain formula remains the same, the feedback resistor will still be -1kΩ.
Understanding the Closed Loop Gain
The closed loop gain is determined by the ratio of the feedback resistor to the input resistor. In this case, the feedback resistor remains the same at -1kΩ. Therefore, the closed loop gain will also remain the same at 25.
Conclusion
In summary, the closed loop gain of the inverting amplifier remains 25 even when the Op-Amp with an open loop gain of 200000 is substituted into the configuration. This is because the closed loop gain is determined by the ratio of the feedback resistor to the input resistor, and in this case, the feedback resistor remains the same.
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The certain inverting amplifier has a closed loop gain of 25. The Op-Amp has an open-loop gain of 100000. If another Op-Amp with an open loop gain of 200000 is substituted in the configuration, the closed loop gain is?Correct answer is '25'. Can you explain this answer?
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