FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Closed Loop Negative Feedback Gain Formula

GoClosed Loop Positive Feedback Gain Formula

Fx Copy

LaTeX Copy

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 Negative Feedback Gain Example

With values

With units

Only example

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

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

Here is how the Closed Loop Negative 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)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Control System » fx Closed Loop Negative Feedback Gain

Closed Loop Negative Feedback Gain Solution

Follow our step by step solution on how to calculate Closed Loop Negative 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 = 0.249984375976501

LAST Step Rounding Answer

∴

A f = 0.25

Closed Loop Negative 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 Positive 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 Negative Feedback Gain?

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

FAQs on Closed Loop Negative Feedback Gain

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

The formula of Closed Loop Negative 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- 0.249984 = 4000/(1+(4*4000)).

How to calculate Closed Loop Negative Feedback Gain?

With Open Loop Gain of an OP-AMP (A_o) & Feedback Factor (β) we can find Closed Loop Negative 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))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Closed Loop Negative Feedback Gain Formula

​GoClosed Loop Positive Feedback Gain Formula

Closed Loop Negative Feedback Gain Example

Closed Loop Negative Feedback Gain Solution

Closed Loop Negative Feedback Gain Formula Elements

Other Formulas to find Gain with Feedback

Other formulas in Fundamental Parameters category

How to Evaluate Closed Loop Negative Feedback Gain?

FAQs on Closed Loop Negative Feedback Gain

Variable Name

GoClosed Loop Positive Feedback Gain Formula