Closed Loop Gain of Operational Amplifier Calculator

✖Output Voltage is an amplified replica of the input signal which is accepted by a linear amplifier.ⓘ Output Voltage [V_o]			+10% -10%
✖Input voltage is the voltage supplied to the device.ⓘ Input Voltage [V_i]			+10% -10%

✖Closed loop Gain is the gain that results when we apply negative feedback to "tame" the open-loop gain.ⓘ Closed Loop Gain of Operational Amplifier [A_c]

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Formula

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Closed Loop Gain of Operational Amplifier

Formula

`"A"_{"c"} = "V"_{"o"}/"V"_{"i"}`

Example

`"1.89"="9.45V"/"5V"`

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Closed Loop Gain of Operational Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Closed Loop Gain = Output Voltage/Input Voltage
A_c = V_o/V_i
This formula uses 3 Variables

Variables Used

Closed Loop Gain - Closed loop Gain is the gain that results when we apply negative feedback to "tame" the open-loop gain.
Output Voltage - (Measured in Volt) - Output Voltage is an amplified replica of the input signal which is accepted by a linear amplifier.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to the device.

STEP 1: Convert Input(s) to Base Unit

Output Voltage: 9.45 Volt --> 9.45 Volt No Conversion Required
Input Voltage: 5 Volt --> 5 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_c = V_o/V_i --> 9.45/5

Evaluating ... ...

A_c = 1.89

STEP 3: Convert Result to Output's Unit

1.89 --> No Conversion Required

FINAL ANSWER

1.89 <-- Closed Loop Gain

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 10+ Inverting & Non-Inverting Calculators

Percentage Gain Error of Non Inverting Amplifier

Go Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100

Output Voltage of Non Inverting Configuration

Go Output Voltage = Input Voltage+(Input Voltage/Resistance 1)*Resistance 2

Output Voltage of Finite Open-Loop Gain of Operational Amplifier

Go Output Voltage = (Current*Resistance-Input Voltage)*Open Loop Gain

Current in Finite Open-Loop Gain in Operational Amplifier

Go Current = (Input Voltage+Output Voltage/Open Loop Gain)/Resistance

Magnitude of Integrator Transfer Function

Go Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance)

Differential Input Signal

Go Differential Input Signal = Positive Terminal Voltage-(Negative Terminal Voltage)

Common Mode Input Signal of Operational Amplifier

Go Common Mode Input = 1/2*(Negative Terminal Voltage+Positive Terminal Voltage)

Closed Loop Gain of Non Inverting Amplifier Circuit

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

Integrator Frequency of Inverting Amplifier

Go Integrator Frequency = 1/(Capacitance*Resistance)

Closed Loop Gain of Operational Amplifier

Go Closed Loop Gain = Output Voltage/Input Voltage

Closed Loop Gain of Operational Amplifier Formula

Closed Loop Gain = Output Voltage/Input Voltage
A_c = V_o/V_i

What is Closed loop gain ?

The Closed-loop gain of an operational amplifier formula is defined as the ratio of the output voltage to the input terminal voltage. It is the gain of an operational amplifier with a feedback network.

How to Calculate Closed Loop Gain of Operational Amplifier?

Closed Loop Gain of Operational Amplifier calculator uses Closed Loop Gain = Output Voltage/Input Voltage to calculate 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 calculate Closed Loop Gain of Operational Amplifier using this online calculator? To use this online calculator for Closed Loop Gain of Operational Amplifier, enter Output Voltage (V_o) & Input Voltage (V_i) and hit the calculate button. Here is how the Closed Loop Gain of Operational Amplifier calculation can be explained with given input values -> 1.89 = 9.45/5.

FAQ

What is Closed Loop Gain of Operational Amplifier?

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 and is represented as A_c = V_o/V_i or Closed Loop Gain = Output Voltage/Input Voltage. Output Voltage is an amplified replica of the input signal which is accepted by a linear amplifier & Input voltage is the voltage supplied to the device.

How to calculate Closed Loop Gain of Operational Amplifier?

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 is calculated using Closed Loop Gain = Output Voltage/Input Voltage. To calculate Closed Loop Gain of Operational Amplifier, you need Output Voltage (V_o) & Input Voltage (V_i). With our tool, you need to enter the respective value for Output Voltage & Input Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Closed Loop Gain?

In this formula, Closed Loop Gain uses Output Voltage & Input Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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