Differential Gain of Instrumentation Amplifier Calculator

✖Resistance 4 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 4 [R₄]			+10% -10%
✖Resistance 3 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 3 [R₃]			+10% -10%
✖Resistance 2 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 2 [R₂]			+10% -10%
✖Resistance 1 is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance 1 [R₁]			+10% -10%

✖Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.ⓘ Differential Gain of Instrumentation Amplifier [A_d]

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Differential Gain of Instrumentation Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
A_d = (R₄/R₃)*(1+(R₂)/R₁)
This formula uses 5 Variables

Variables Used

Differential Mode Gain - Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.
Resistance 4 - (Measured in Ohm) - Resistance 4 is a measure of the opposition to current flow in an electrical circuit.
Resistance 3 - (Measured in Ohm) - Resistance 3 is a measure of the opposition to current flow in an electrical circuit.
Resistance 2 - (Measured in Ohm) - Resistance 2 is a measure of the opposition to current flow in an electrical circuit.
Resistance 1 - (Measured in Ohm) - Resistance 1 is a measure of the opposition to current flow in an electrical circuit.

STEP 1: Convert Input(s) to Base Unit

Resistance 4: 7 Kilohm --> 7000 Ohm (Check conversion here)
Resistance 3: 10.5 Kilohm --> 10500 Ohm (Check conversion here)
Resistance 2: 8.75 Kilohm --> 8750 Ohm (Check conversion here)
Resistance 1: 12.5 Kilohm --> 12500 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_d = (R₄/R₃)*(1+(R₂)/R₁) --> (7000/10500)*(1+(8750)/12500)

Evaluating ... ...

A_d = 1.13333333333333

STEP 3: Convert Result to Output's Unit

1.13333333333333 --> No Conversion Required

FINAL ANSWER

1.13333333333333 ≈ 1.133333 <-- Differential Mode Gain

(Calculation completed in 00.020 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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Differential Gain of Instrumentation Amplifier Formula

LaTeX Go

Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
A_d = (R₄/R₃)*(1+(R₂)/R₁)

What is the Instrumentation amplifier?

Instrumentation Amplifiers (in-amps) are very high gain differential amplifiers which have a high input impedance and a single ended output. Instrumentation amplifiers are mainly used to amplify very small differential signals from strain gauges, thermocouples or current sensing devices in motor control systems.

How to Calculate Differential Gain of Instrumentation Amplifier?

Differential Gain of Instrumentation Amplifier calculator uses Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1) to calculate the Differential Mode Gain, The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as A_d. Differential Mode Gain is denoted by A_d symbol.

How to calculate Differential Gain of Instrumentation Amplifier using this online calculator? To use this online calculator for Differential Gain of Instrumentation Amplifier, enter Resistance 4 (R₄), Resistance 3 (R₃), Resistance 2 (R₂) & Resistance 1 (R₁) and hit the calculate button. Here is how the Differential Gain of Instrumentation Amplifier calculation can be explained with given input values -> 1.133333 = (7000/10500)*(1+(8750)/12500).

FAQ

What is Differential Gain of Instrumentation Amplifier?

The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as A_d and is represented as A_d = (R₄/R₃)*(1+(R₂)/R₁) or Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1). Resistance 4 is a measure of the opposition to current flow in an electrical circuit, Resistance 3 is a measure of the opposition to current flow in an electrical circuit, Resistance 2 is a measure of the opposition to current flow in an electrical circuit & Resistance 1 is a measure of the opposition to current flow in an electrical circuit.

How to calculate Differential Gain of Instrumentation Amplifier?

The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as A_d is calculated using Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1). To calculate Differential Gain of Instrumentation Amplifier, you need Resistance 4 (R₄), Resistance 3 (R₃), Resistance 2 (R₂) & Resistance 1 (R₁). With our tool, you need to enter the respective value for Resistance 4, Resistance 3, Resistance 2 & Resistance 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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