LCM of two numbers

Closed Loop Negative Feedback Gain Calculator

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Fundamental Parameters Second Order System

✖Open Loop Gain of an OP-AMP is gain of an op-amp without feedback. It is denoted as A.ⓘ Open Loop Gain of an OP-AMP [A_o]			+10% -10%
✖The Feedback Factor of an op-amp application defines the fraction of the amplifier output signal fed back to the amplifier input.ⓘ Feedback Factor [β]			+10% -10%

✖Gain with Feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.ⓘ Closed Loop Negative Feedback Gain [A_f]

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Closed Loop Negative Feedback Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))
A_f = A_o/(1+(β*A_o))
This formula uses 3 Variables

Variables Used

Gain with Feedback - Gain with Feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.
Open Loop Gain of an OP-AMP - Open Loop Gain of an OP-AMP is gain of an op-amp without feedback. It is denoted as A.
Feedback Factor - The Feedback Factor of an op-amp application defines the fraction of the amplifier output signal fed back to the amplifier input.

STEP 1: Convert Input(s) to Base Unit

Open Loop Gain of an OP-AMP: 4000 --> No Conversion Required
Feedback Factor: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_f = A_o/(1+(β*A_o)) --> 4000/(1+(4*4000))

Evaluating ... ...

A_f = 0.249984375976501

STEP 3: Convert Result to Output's Unit

0.249984375976501 --> No Conversion Required

FINAL ANSWER

0.249984375976501 ≈ 0.249984 <-- Gain with Feedback

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Fundamental Parameters Calculators

Angle of Asymptotes

LaTeX Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Gain

LaTeX Go Closed-Loop Gain = 1/Feedback Factor

< Feedback Characteristics Calculators

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Positive Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP))

Transfer Function for Closed and Open Loop System

LaTeX Go Transfer Function = Output of System/Input of System

Closed Loop Gain

LaTeX Go Closed-Loop Gain = 1/Feedback Factor

Closed Loop Negative Feedback Gain Formula

LaTeX Go

Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))
A_f = A_o/(1+(β*A_o))

What is feedback amplifier?

The process of injecting a fraction of the output energy of some device back to the input is known as Feedback. It has been found that feedback is very useful in reducing noise and making the amplifier operation stable.

Depending upon whether the feedback signal aids or opposes the input signal, there are two types of feedbacks used - Positive Feedback and Negative Feedback.
The feedback in which the feedback energy i.e., either voltage or current is in phase with the input signal and thus aids it is called Positive feedback.

The feedback in which the feedback energy i.e., either voltage or current is out of phase with the input and thus opposes it, is called negative feedback.

How to Calculate Closed Loop Negative Feedback Gain?

Closed Loop Negative Feedback Gain calculator uses Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP)) to calculate the Gain with Feedback, The Closed Loop Negative Feedback Gain formula is defined as gain that results when we apply negative feedback to "tame" open-loop gain. closed-loop gain can be calculated if we know open-loop gain and amount of feedback (what fraction of output voltage is negatively fed back to input). Gain with Feedback is denoted by A_f symbol.

How to calculate Closed Loop Negative Feedback Gain using this online calculator? To use this online calculator for Closed Loop Negative Feedback Gain, enter Open Loop Gain of an OP-AMP (A_o) & Feedback Factor (β) and hit the calculate button. Here is how the Closed Loop Negative Feedback Gain calculation can be explained with given input values -> 0.249984 = 4000/(1+(4*4000)).

FAQ

What is Closed Loop Negative Feedback Gain?

The Closed Loop Negative Feedback Gain formula is defined as gain that results when we apply negative feedback to "tame" open-loop gain. closed-loop gain can be calculated if we know open-loop gain and amount of feedback (what fraction of output voltage is negatively fed back to input) and is represented as A_f = A_o/(1+(β*A_o)) or Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP)). Open Loop Gain of an OP-AMP is gain of an op-amp without feedback. It is denoted as A & The Feedback Factor of an op-amp application defines the fraction of the amplifier output signal fed back to the amplifier input.

How to calculate Closed Loop Negative Feedback Gain?

The Closed Loop Negative Feedback Gain formula is defined as gain that results when we apply negative feedback to "tame" open-loop gain. closed-loop gain can be calculated if we know open-loop gain and amount of feedback (what fraction of output voltage is negatively fed back to input) is calculated using Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP)). To calculate Closed Loop Negative Feedback Gain, you need Open Loop Gain of an OP-AMP (A_o) & Feedback Factor (β). With our tool, you need to enter the respective value for Open Loop Gain of an OP-AMP & Feedback Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gain with Feedback?

In this formula, Gain with Feedback uses Open Loop Gain of an OP-AMP & Feedback Factor. We can use 2 other way(s) to calculate the same, which is/are as follows -

Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP))
Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP))

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