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Closed Loop Gain of Operational Amplifier Formula

GoClosed Loop Gain of Non Inverting Amplifier Circuit 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 c = \frac{V o}{V i}

A_c - Closed Loop Gain?V_o - Output Voltage?V_i - Input Voltage?

Closed Loop Gain of Operational Amplifier Example

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

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

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

1.89 = \frac{9.45}{5}

1.89 = \frac{9.45V}{5V}

1.89 = \frac{9.45}{5}

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Closed Loop Gain of Operational Amplifier Solution

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

FIRST Step Consider the formula

A c = \frac{V o}{V i}

Next Step Substitute values of Variables

∴

A c = \frac{9.45V}{5V}

Next Step Prepare to Evaluate

∴

A c = \frac{9.45}{5}

LAST Step Evaluate

∴

A c = 1.89

Closed Loop Gain of Operational Amplifier 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_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Closed Loop Gain

Output Voltage

Output Voltage is an amplified replica of the input signal which is accepted by a linear amplifier.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage

Input Voltage

Input voltage is the voltage supplied to the device.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage

Other Formulas to find Closed Loop Gain

Go Closed Loop Gain of Non Inverting Amplifier Circuit

A c = 1 + (\frac{R f}{R})

Other formulas in Inverting and Non Inverting category

Go Integrator Frequency of Inverting Amplifier

ω in = \frac{1}{C \cdot R}

Go Differential Input Signal

V id = V p - (V n)

Go Common Mode Input Signal of Operational Amplifier

V icm = \frac{1}{2} \cdot (V n + V p)

Go Current in Finite Open-Loop Gain in Operational Amplifier

i = \frac{V i + \frac{V o}{A}}{R}

How to Evaluate Closed Loop Gain of Operational Amplifier?

Closed Loop Gain of Operational Amplifier evaluator uses Closed Loop Gain = Output Voltage/Input Voltage to evaluate the Closed Loop Gain, The Closed Loop Gain of Operational Amplifier formula is defined as the ratio of the output voltage V ₀ to the input terminal voltage V _i. Closed Loop Gain is denoted by A_c symbol.

How to evaluate Closed Loop Gain of Operational Amplifier using this online evaluator? To use this online evaluator for Closed Loop Gain of Operational Amplifier, enter Output Voltage (V_o) & Input Voltage (V_i) and hit the calculate button.

FAQs on Closed Loop Gain of Operational Amplifier

What is the formula to find Closed Loop Gain of Operational Amplifier?

The formula of Closed Loop Gain of Operational Amplifier is expressed as Closed Loop Gain = Output Voltage/Input Voltage. Here is an example- 1.89 = 9.45/5.

How to calculate Closed Loop Gain of Operational Amplifier?

With Output Voltage (V_o) & Input Voltage (V_i) we can find Closed Loop Gain of Operational Amplifier using the formula - Closed Loop Gain = Output Voltage/Input Voltage.

What are the other ways to Calculate Closed Loop Gain?

Here are the different ways to Calculate Closed Loop Gain-

Closed Loop Gain=1+(Feedback Resistance/Resistance)

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