Closed Loop Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Closed-Loop Gain = 1/Feedback Factor
Ac = 1/β
This formula uses 2 Variables
Variables Used
Closed-Loop Gain - Closed-Loop Gain is the gain that results when we apply negative feedback to tame the open-loop gain.
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
Feedback Factor: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ac = 1/β --> 1/4
Evaluating ... ...
Ac = 0.25
STEP 3: Convert Result to Output's Unit
0.25 --> No Conversion Required
FINAL ANSWER
0.25 <-- Closed-Loop Gain
(Calculation completed in 00.004 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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 Gain Formula

​LaTeX ​Go
Closed-Loop Gain = 1/Feedback Factor
Ac = 1/β

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 Gain?

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

How to calculate Closed Loop Gain using this online calculator? To use this online calculator for Closed Loop Gain, enter Feedback Factor (β) and hit the calculate button. Here is how the Closed Loop Gain calculation can be explained with given input values -> 0.25 = 1/4.

FAQ

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