Closed Loop Positive Feedback Gain Calculator

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✖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 circuit performance.ⓘ Feedback Factor [β]			+10% -10%

✖Closed-loop Gain is the gain that results when we apply negative feedback to "tame" the open-loop gain.ⓘ Closed Loop Positive Feedback Gain [A_c]

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Formula

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Closed Loop Positive Feedback Gain

Formula

`"A"_{"c"} = "A"_{"o"}/(1- ("β"*"A"_{"o"}))`

Example

`"-0.250016"="4000"/(1- ("4"*"4000"))`

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Closed Loop Positive Feedback Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))
A_c = A_o/(1- (β*A_o))
This formula uses 3 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.
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 circuit performance.

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

Evaluating ... ...

A_c = -0.250015625976624

STEP 3: Convert Result to Output's Unit

-0.250015625976624 --> No Conversion Required

FINAL ANSWER

-0.250015625976624 <-- Closed-Loop Gain

(Calculation completed in 00.000 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< 10+ Fundamental Formulas Calculators

Bandwidth Frequency given Damping Ratio

✖

Bandwidth Frequency given Damping Ratio

Formula

`"f"_{"b"} = "f"*((sqrt(1-(2*("ζ"^2))))+sqrt(("ζ"^4)-(4*("ζ"^2))+2))`

Example

`"54.96966Hz"="23Hz"*((sqrt(1-(2*("0.1"^2))))+sqrt(("0.1"^4)-(4*("0.1"^2))+2))`

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LaTeX

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

Angle of Asymptotes

✖

Angle of Asymptotes

Formula

`"ϕ"_{"k"} = (((2*"K")+1)*pi)/("P"-"Z")`

Example

`"951.4286°"=(((2*"18")+1)*pi)/("13"-"6")`

Calculator

LaTeX

Go Angle of Asymptotes = (((2*Parameter for Root Locus)+1)*pi)/(Number of Poles-Number of Zeros)

Damping Ratio or Damping Factor

✖

Damping Ratio or Damping Factor

Formula

`"ζ" = "c"/(2*sqrt("M"*"K"_{"spring"}))`

Example

`"0.188147"="16"/(2*sqrt("35.45kg"*"51N/m"))`

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LaTeX

Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Gain-bandwidth Product

✖

Gain-bandwidth Product

Formula

`"G.B" = "modulus"("A"_{"M"})*"BW"`

Example

`"56.16Hz"="modulus"("0.78")*"72b/s"`

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LaTeX

Go Gain-Bandwidth Product = modulus(Amplifier Gain in Mid-band)*Amplifier Bandwidth

Damped Natural Frequency

✖

Damped Natural Frequency

Formula

`"ω"_{"d"} = "f"*(sqrt(1-("ζ")^2))`

Example

`"22.88471Hz"="23Hz"*(sqrt(1-("0.1")^2))`

Calculator

LaTeX

Go Damped natural frequency = Frequency*(sqrt(1-(Damping Ratio)^2))

Resonant Peak

✖

Resonant Peak

Formula

`"M"_{"r"} = 1/((2*"ζ")*sqrt(1-("ζ")^2))`

Example

`"5.025189"=1/((2*"0.1")*sqrt(1-("0.1")^2))`

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LaTeX

Go Resonant Peak = 1/((2*Damping Ratio)*sqrt(1-(Damping Ratio)^2))

Resonant Frequency

✖

Resonant Frequency

Formula

`"ω"_{"r"} = "f"*sqrt(1-2*("ζ")^2)`

Example

`"22.76884Hz"="23Hz"*sqrt(1-2*("0.1")^2)`

Calculator

LaTeX

Go Resonant Frequency = Frequency*sqrt(1-2*(Damping Ratio)^2)

Number of Asymptotes

✖

Number of Asymptotes

Formula

`"N"_{"a"} = "P"-"Z"`

Example

`"7"="13"-"6"`

Calculator

LaTeX

Go Number of Asymptotes = Number of Poles-Number of Zeros

Transfer Function for Closed and Open Loop System

✖

Transfer Function for Closed and Open Loop System

Formula

`"G"_{"s"} = "C"_{"s"}/"R"_{"s"}`

Example

`"0.458333"="22"/"48"`

Calculator

LaTeX

Go Transfer Function = Output of System/Input of System

Closed-loop Gain

✖

Closed-loop Gain

Formula

`"A"_{"f"} = 1/"β"`

Example

`"0.25"=1/"4"`

Calculator

LaTeX

Go Gain-with-feedback = 1/Feedback Factor

Closed Loop Positive Feedback Gain Formula

Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))
A_c = 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 Positive Feedback Gain?

Closed Loop Positive Feedback Gain calculator uses Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP)) to calculate the Closed-Loop Gain, The Closed Loop Positive Feedback Gain formula is defined as a type of feedback in a control system where the output of the system is fed back and added to the input, resulting in an amplification of the input signal. This can result in unstable behavior, such as oscillation or runaway conditions, if not properly designed or controlled. Closed-Loop Gain is denoted by A_c symbol.

How to calculate Closed Loop Positive Feedback Gain using this online calculator? To use this online calculator for Closed Loop Positive 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 Positive Feedback Gain calculation can be explained with given input values -> -0.250016 = 4000/(1- (4*4000)).

FAQ

What is Closed Loop Positive Feedback Gain?

The Closed Loop Positive Feedback Gain formula is defined as a type of feedback in a control system where the output of the system is fed back and added to the input, resulting in an amplification of the input signal. This can result in unstable behavior, such as oscillation or runaway conditions, if not properly designed or controlled and is represented as A_c = A_o/(1- (β*A_o)) or Closed-Loop Gain = 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 circuit performance.

How to calculate Closed Loop Positive Feedback Gain?

The Closed Loop Positive Feedback Gain formula is defined as a type of feedback in a control system where the output of the system is fed back and added to the input, resulting in an amplification of the input signal. This can result in unstable behavior, such as oscillation or runaway conditions, if not properly designed or controlled is calculated using Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP)). To calculate Closed Loop Positive 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 Closed-Loop Gain?

In this formula, Closed-Loop Gain uses Open Loop Gain of an OP-AMP & Feedback Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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