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Closed-Loop Gain as Function of Ideal Value Formula

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Closed-loop Gain is the gain that results when we apply negative feedback to "tame" the open-loop gain. Check FAQs

A cl = (\frac{1}{β}) \cdot (\frac{1}{1 + (\frac{1}{Aβ})})

A_cl - Closed-Loop Gain?β - Feedback Factor?Aβ - Loop Gain?

Closed-Loop Gain as Function of Ideal Value Example

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Here is how the Closed-Loop Gain as Function of Ideal Value equation looks like with Values.

Here is how the Closed-Loop Gain as Function of Ideal Value equation looks like with Units.

Here is how the Closed-Loop Gain as Function of Ideal Value equation looks like.

1.5908 = (\frac{1}{0.454}) \cdot (\frac{1}{1 + (\frac{1}{2.6})})

1.5908 = (\frac{1}{0.454}) \cdot (\frac{1}{1 + (\frac{1}{2.6})})

1.5908 = (\frac{1}{0.454}) \cdot (\frac{1}{1 + (\frac{1}{2.6})})

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Closed-Loop Gain as Function of Ideal Value Solution

Follow our step by step solution on how to calculate Closed-Loop Gain as Function of Ideal Value?

FIRST Step Consider the formula

A cl = (\frac{1}{β}) \cdot (\frac{1}{1 + (\frac{1}{Aβ})})

Next Step Substitute values of Variables

∴

A cl = (\frac{1}{0.454}) \cdot (\frac{1}{1 + (\frac{1}{2.6})})

Next Step Prepare to Evaluate

∴

A cl = (\frac{1}{0.454}) \cdot (\frac{1}{1 + (\frac{1}{2.6})})

Next Step Evaluate

∴

A cl = 1.59079784630445

LAST Step Rounding Answer

∴

A cl = 1.5908

Closed-Loop Gain as Function of Ideal Value Formula Elements

Variables

Closed-Loop Gain

Closed-loop Gain is the gain that results when we apply negative feedback to "tame" the open-loop gain.

Symbol: A_cl

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Closed-Loop Gain

Feedback Factor

The feedback factor of an op-amp application defines the circuit performance.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Feedback Factor

Loop Gain

The loop gain is calculated by imagining the feedback loop is broken at some point and calculating the net gain if a signal is applied.

Symbol: Aβ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Loop Gain

Other formulas in Basic Characteristics category

Go Amount of Feedback Given Loop Gain

F am = 1 + Aβ

Go Gain with Feedback of Feedback Amplifier

A f = \frac{A}{F am}

Go Gain at Mid and High Frequencies

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

Go Lower 3-DB Frequency in Bandwidth Extension

ω Lf = \frac{f 3dB}{1 + (A m \cdot β)}

How to Evaluate Closed-Loop Gain as Function of Ideal Value?

Closed-Loop Gain as Function of Ideal Value evaluator uses Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain))) to evaluate the Closed-Loop Gain, The Closed-loop gain as function of ideal value 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 A_cl symbol.

How to evaluate Closed-Loop Gain as Function of Ideal Value using this online evaluator? To use this online evaluator for Closed-Loop Gain as Function of Ideal Value, enter Feedback Factor (β) & Loop Gain (Aβ) and hit the calculate button.

FAQs on Closed-Loop Gain as Function of Ideal Value

What is the formula to find Closed-Loop Gain as Function of Ideal Value?

The formula of Closed-Loop Gain as Function of Ideal Value is expressed as Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain))). Here is an example- 1.590798 = (1/0.454)*(1/(1+(1/2.6))).

How to calculate Closed-Loop Gain as Function of Ideal Value?

With Feedback Factor (β) & Loop Gain (Aβ) we can find Closed-Loop Gain as Function of Ideal Value using the formula - Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain))).

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Closed-Loop Gain as Function of Ideal Value Formula

Closed-Loop Gain as Function of Ideal Value Example

Closed-Loop Gain as Function of Ideal Value Solution

Closed-Loop Gain as Function of Ideal Value Formula Elements

Other formulas in Basic Characteristics category

How to Evaluate Closed-Loop Gain as Function of Ideal Value?

FAQs on Closed-Loop Gain as Function of Ideal Value

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