Home Back

Closed Loop Gain Calculator

Closed Loop Gain Formula:

\[ A_c = \frac{1}{\beta} \]

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Closed Loop Gain?

Closed Loop Gain is the gain that results when we apply negative feedback to tame the open-loop gain. It represents the overall amplification of a system with feedback applied.

2. How Does the Calculator Work?

The calculator uses the Closed Loop Gain formula:

\[ A_c = \frac{1}{\beta} \]

Where:

Explanation: The closed loop gain is inversely proportional to the feedback factor. As more feedback is applied (higher β), the closed loop gain decreases.

3. Importance of Closed Loop Gain

Details: Closed loop gain calculation is crucial for designing stable amplifier circuits, controlling system behavior, and ensuring predictable performance in feedback systems.

4. Using the Calculator

Tips: Enter the feedback factor value (β). The value must be greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between open loop and closed loop gain?
A: Closed loop gain is always less than or equal to the open loop gain due to the application of negative feedback.

Q2: Why use negative feedback in amplifier circuits?
A: Negative feedback improves stability, reduces distortion, increases bandwidth, and makes the gain less dependent on component variations.

Q3: What are typical values for feedback factor?
A: Feedback factor values typically range from very small fractions (0.001) to values approaching 1, depending on the desired closed loop gain.

Q4: Can closed loop gain be greater than 1?
A: Yes, closed loop gain can be greater than 1 when the feedback factor is less than 1, which is common in amplifier applications.

Q5: How does feedback affect system stability?
A: Proper negative feedback improves stability by reducing sensitivity to parameter changes and minimizing oscillations in the system.

Closed Loop Gain Calculator© - All Rights Reserved 2025