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Closed Loop Positive Feedback Gain Formula

GoClosed Loop Negative Feedback Gain Formula

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Gain with Feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback. Check FAQs

A f = \frac{A o}{1 - (β \cdot A o)}

A_f - Gain with Feedback?A_o - Open Loop Gain of an OP-AMP?β - Feedback Factor?

Closed Loop Positive Feedback Gain Example

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Here is how the Closed Loop Positive Feedback Gain equation looks like with Values.

Here is how the Closed Loop Positive Feedback Gain equation looks like with Units.

Here is how the Closed Loop Positive Feedback Gain equation looks like.

-0.25 = \frac{4000}{1 - (4 \cdot 4000)}

-0.25 = \frac{4000}{1 - (4 \cdot 4000)}

-0.25 = \frac{4000}{1 - (4 \cdot 4000)}

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Closed Loop Positive Feedback Gain Solution

Follow our step by step solution on how to calculate Closed Loop Positive Feedback Gain?

FIRST Step Consider the formula

A f = \frac{A o}{1 - (β \cdot A o)}

Next Step Substitute values of Variables

∴

A f = \frac{4000}{1 - (4 \cdot 4000)}

Next Step Prepare to Evaluate

∴

A f = \frac{4000}{1 - (4 \cdot 4000)}

Next Step Evaluate

∴

A f = -0.250015625976624

LAST Step Rounding Answer

∴

A f = -0.25

Closed Loop Positive Feedback Gain Formula Elements

Variables

Gain with Feedback

Gain with Feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.

Symbol: A_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find 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.

Symbol: A_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Open Loop Gain of an OP-AMP

Feedback Factor

The Feedback Factor of an op-amp application defines the fraction of the amplifier output signal fed back to the amplifier input.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Feedback Factor

Other Formulas to find Gain with Feedback

Go Closed Loop Negative Feedback Gain

A f = \frac{A o}{1 + (β \cdot A o)}

Other formulas in Fundamental Parameters category

Go Transfer Function for Closed and Open Loop System

G s = \frac{C s}{R s}

Go Closed Loop Gain

A c = \frac{1}{β}

How to Evaluate Closed Loop Positive Feedback Gain?

Closed Loop Positive Feedback Gain evaluator uses Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP)) to evaluate the Gain with Feedback, 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. Gain with Feedback is denoted by A_f symbol.

How to evaluate Closed Loop Positive Feedback Gain using this online evaluator? To use this online evaluator for Closed Loop Positive Feedback Gain, enter Open Loop Gain of an OP-AMP (A_o) & Feedback Factor (β) and hit the calculate button.

FAQs on Closed Loop Positive Feedback Gain

What is the formula to find Closed Loop Positive Feedback Gain?

The formula of Closed Loop Positive Feedback Gain is expressed as Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP)). Here is an example- -0.250016 = 4000/(1-(4*4000)).

How to calculate Closed Loop Positive Feedback Gain?

With Open Loop Gain of an OP-AMP (A_o) & Feedback Factor (β) we can find Closed Loop Positive Feedback Gain using the formula - Gain with Feedback = Open Loop Gain of an OP-AMP/(1-(Feedback Factor*Open Loop Gain of an OP-AMP)).

What are the other ways to Calculate Gain with Feedback?

Here are the different ways to Calculate Gain with Feedback-

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

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Closed Loop Positive Feedback Gain Formula

​GoClosed Loop Negative Feedback Gain Formula

Closed Loop Positive Feedback Gain Example

Closed Loop Positive Feedback Gain Solution

Closed Loop Positive Feedback Gain Formula Elements

Other Formulas to find Gain with Feedback

Other formulas in Fundamental Parameters category

How to Evaluate Closed Loop Positive Feedback Gain?

FAQs on Closed Loop Positive Feedback Gain

Variable Name

GoClosed Loop Negative Feedback Gain Formula