Home Back

Instrumentation Amplifier Gain Formula

Instrumentation Amplifier Gain Formula:

\[ Gain = 1 + \frac{2 R_2}{R_1} \]

ohms
ohms

Unit Converter ▲

Unit Converter ▼

From: To:

1. What Is The Instrumentation Amplifier Gain Formula?

The Instrumentation Amplifier Gain Formula calculates the voltage gain of a standard three-op-amp instrumentation amplifier configuration. This configuration is widely used for precise differential signal amplification in measurement and instrumentation applications.

2. How Does The Calculator Work?

The calculator uses the instrumentation amplifier gain formula:

\[ Gain = 1 + \frac{2 R_2}{R_1} \]

Where:

Explanation: The formula represents the gain of a standard three-op-amp instrumentation amplifier, where the gain is determined by the ratio of two external resistors R1 and R2.

3. Importance Of Gain Calculation

Details: Accurate gain calculation is essential for designing precision measurement systems, biomedical instrumentation, data acquisition systems, and any application requiring high common-mode rejection ratio (CMRR) and differential signal amplification.

4. Using The Calculator

Tips: Enter resistance values R2 and R1 in ohms. Both values must be positive and non-zero. The calculator will compute the voltage gain of the instrumentation amplifier configuration.

5. Frequently Asked Questions (FAQ)

Q1: What is an instrumentation amplifier?
A: An instrumentation amplifier is a type of differential amplifier with high input impedance, high common-mode rejection ratio, and precise gain setting, commonly used in measurement applications.

Q2: Why use a three-op-amp configuration?
A: The three-op-amp configuration provides excellent common-mode rejection, high input impedance, and the ability to set gain with external resistors while maintaining precision.

Q3: What are typical gain ranges for instrumentation amplifiers?
A: Typical gains range from 1 to 1000 or higher, depending on the specific application and resistor values used.

Q4: What are the limitations of this formula?
A: This formula assumes ideal op-amps and resistors. In practice, op-amp limitations (bandwidth, slew rate, offset voltage) and resistor tolerances may affect actual performance.

Q5: How does this compare to single op-amp differential amplifiers?
A: Instrumentation amplifiers offer superior common-mode rejection, higher input impedance, and better gain accuracy compared to single op-amp differential amplifier configurations.

Instrumentation Amplifier Gain Formula© - All Rights Reserved 2025