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Loop Gain of Feedback Amplifier Formula

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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. Check FAQs

Aβ = (\frac{S r}{S t})

Aβ - Loop Gain?S_r - Returned Signal?S_t - Test Signal?

Loop Gain of Feedback Amplifier Example

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Here is how the Loop Gain of Feedback Amplifier equation looks like with Values.

Here is how the Loop Gain of Feedback Amplifier equation looks like with Units.

Here is how the Loop Gain of Feedback Amplifier equation looks like.

3.2143 = (\frac{45}{14})

3.2143 = (\frac{45V}{14V})

3.2143 = (\frac{45}{14})

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Loop Gain of Feedback Amplifier Solution

Follow our step by step solution on how to calculate Loop Gain of Feedback Amplifier?

FIRST Step Consider the formula

Aβ = (\frac{S r}{S t})

Next Step Substitute values of Variables

∴

Aβ = (\frac{45V}{14V})

Next Step Prepare to Evaluate

∴

Aβ = (\frac{45}{14})

Next Step Evaluate

∴

Aβ = 3.21428571428571

LAST Step Rounding Answer

∴

Aβ = 3.2143

Loop Gain of Feedback Amplifier Formula Elements

Variables

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

Returned Signal

The returned signal is the product of the loop gain and test signal.

Symbol: S_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Returned Signal

Test Signal

The test signal is a step signal with a step size expressed as the percentage change P in the correction unit.

Symbol: S_t

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Test Signal

Other formulas in Signal Analysis category

Go Output Signal in Feedback Amplifier

S o = A \cdot S in

Go Error Signal

S e = \frac{S so}{1 + (A \cdot β)}

Go Feedback Factor of Feedback Amplifier

β = \frac{S in}{S o}

Go Feedback Signal

S f = (\frac{A \cdot β}{1 + (A \cdot β)}) \cdot S so

How to Evaluate Loop Gain of Feedback Amplifier?

Loop Gain of Feedback Amplifier evaluator uses Loop Gain = (Returned Signal/Test Signal) to evaluate the Loop Gain, The Loop gain of feedback amplifier formula is related to accuracy of amplifier's gain more loop gain in amplifier means more gain accuracy. Increasing output voltage of LT1086 is identical to increasing closed-loop gain of op-amp. Loop Gain is denoted by Aβ symbol.

How to evaluate Loop Gain of Feedback Amplifier using this online evaluator? To use this online evaluator for Loop Gain of Feedback Amplifier, enter Returned Signal (S_r) & Test Signal (S_t) and hit the calculate button.

FAQs on Loop Gain of Feedback Amplifier

What is the formula to find Loop Gain of Feedback Amplifier?

The formula of Loop Gain of Feedback Amplifier is expressed as Loop Gain = (Returned Signal/Test Signal). Here is an example- 3.214286 = (45/14).

How to calculate Loop Gain of Feedback Amplifier?

With Returned Signal (S_r) & Test Signal (S_t) we can find Loop Gain of Feedback Amplifier using the formula - Loop Gain = (Returned Signal/Test Signal).

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