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Gain with Feedback Formula:
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The Gain with Feedback formula calculates the closed-loop gain of a feedback amplifier. It represents the gain of an amplifier when feedback is applied, which is typically more stable and predictable than the open-loop gain.
The calculator uses the Gain with Feedback formula:
Where:
Explanation: The formula shows that the closed-loop gain is equal to the open-loop gain divided by the amount of feedback applied to the system.
Details: Calculating gain with feedback is essential for designing stable amplifier circuits, controlling bandwidth, reducing distortion, and improving input/output impedance characteristics in electronic systems.
Tips: Enter the open loop gain and amount of feedback as positive values. Both values must be greater than zero for accurate calculation.
Q1: What is the difference between open-loop and closed-loop gain?
A: Open-loop gain is the gain of an amplifier without feedback, while closed-loop gain (gain with feedback) is the gain when feedback is applied to the system.
Q2: Why is feedback important in amplifier design?
A: Feedback helps stabilize amplifier performance, reduce distortion, control bandwidth, and make the amplifier less sensitive to component variations.
Q3: What are typical values for open-loop gain?
A: Operational amplifiers typically have very high open-loop gains, often in the range of 10^5 to 10^6, while the closed-loop gain is much lower and more controlled.
Q4: How does feedback affect amplifier stability?
A: Proper feedback can significantly improve amplifier stability by reducing sensitivity to temperature changes, component aging, and manufacturing variations.
Q5: Can this formula be used for all types of feedback amplifiers?
A: This basic formula applies to many feedback amplifier configurations, but more complex analyses may be needed for specific circuit topologies and feedback types.