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Op-Amp Non-Inverting Amplifier Gain Calculator

Enter your feedback resistor (Rf), ground resistor (Rg), and input voltage to calculate closed-loop gain, output voltage, and dB gain.
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Luis GonzalezCreated by Luis GonzalezLast updated:

How to Use This Calculator

  1. 1

    Enter Feedback Resistor (Rf)

    Input the resistance value (in Ohms) of the resistor connected from the op-amp output back to the inverting input.

  2. 2

    Enter Ground Resistor (Rg)

    Input the resistance value (in Ohms) of the resistor connected from the inverting input to ground.

  3. 3

    Enter Input Voltage (Vin)

    Input the AC or DC signal voltage (in Volts) applied to the non-inverting (+) input of the op-amp.

  4. 4

    Review Your Results

    The calculator will display the voltage gain, output voltage, gain in dB, Rf/Rg ratio, and the values of the feedback and ground resistors.

Example Calculation

An electronics designer needs to amplify a 1V sensor signal without inversion. They use a non-inverting op-amp with a 90 kΩ feedback resistor and a 10 kΩ ground resistor.

Feedback Resistor (Rf) (Ω)

90,000

Ground Resistor (Rg) (Ω)

10,000

Input Voltage (Vin) (V)

1

Results

10.0000 V/V

Tips

High Input Impedance Advantage

The non-inverting configuration offers very high input impedance (ideally infinite), making it excellent for buffering sensitive signal sources without loading them. This is a key advantage over the inverting amplifier.

Minimum Gain is Unity

Unlike the inverting amplifier, the non-inverting configuration's minimum gain is 1 (unity). This means it can only amplify or buffer, never attenuate the signal below its input level.

Check Resistor Power Ratings

While op-amp circuits typically handle low power, ensure your chosen resistors (Rf and Rg) have adequate power ratings, especially if you're dealing with higher voltages or currents, to prevent overheating and component failure.

The Op-Amp Non-Inverting Amplifier Gain Calculator provides crucial insights into the performance of this widely used circuit, enabling engineers and students to determine voltage gain, output voltage, and gain in decibels. This tool is essential for designing signal buffers, sensor interfaces, and amplification stages where maintaining signal polarity and offering high input impedance are paramount. For instance, achieving a voltage gain of 10.0000 V/V for a 1V input signal is a common requirement in many electronic systems in 2025.

Non-Inverting Amplifiers in Sensor Buffering and Filters

Op-amp non-inverting amplifiers are critical circuits in a multitude of electronic applications, particularly in sensor interfacing and active filter designs. Their inherent high input impedance makes them ideal for buffering signals from sensitive sources, such as high-impedance pH probes or piezoelectric sensors, ensuring that the amplifier draws minimal current and does not load the sensor, thus preserving signal integrity. In active filters, non-inverting configurations are frequently used as gain stages to compensate for passive component losses or to achieve specific filter characteristics. They are commonly employed to provide gains from unity (1) to 100 or more, maintaining signal polarity throughout the amplification process, which is often a key design requirement.

The Formula for Non-Inverting Op-Amp Gain

The voltage gain of an ideal op-amp non-inverting amplifier is determined by the ratio of its feedback resistor (Rf) to the resistor connected from the inverting input to ground (Rg). The output voltage is directly proportional to this gain and the input voltage.

The formulas are:

Voltage Gain (Av) = 1 + (Rf / Rg)
Output Voltage (Vout) = Av × Vin
Gain in dB = 20 × log10(Av)

Where:

  • Rf is the feedback resistor (Ω)
  • Rg is the ground resistor (Ω)
  • Vin is the input voltage (V)

Notably, the gain is always 1 or greater, and the output signal maintains the same phase as the input signal.

💡 For applications requiring signal inversion, compare this with our Op-Amp Inverting Amplifier Gain Calculator to choose the right topology.

Designing a Signal Buffer with Gain

An electronics designer needs to amplify a 1V sensor signal without inverting its phase. They decide to use a non-inverting op-amp configuration. They have a 90 kΩ feedback resistor (Rf) and a 10 kΩ resistor (Rg) connecting the inverting input to ground.

  1. Feedback Resistor (Rf): 90,000 Ω
  2. Ground Resistor (Rg): 10,000 Ω
  3. Input Voltage (Vin): 1 V
  4. Calculate Voltage Gain (Av): Av = 1 + (Rf / Rg) = 1 + (90,000 Ω / 10,000 Ω) = 1 + 9 = 10
  5. Calculate Output Voltage (Vout): Vout = Av × Vin = 10 × 1 V = 10 V
  6. Calculate Gain in dB: Gain (dB) = 20 × log10(10) = 20 × 1 = 20 dB

With these resistor values, the non-inverting amplifier provides a voltage gain of 10. An input signal of 1V will be amplified to an output of 10V, without any phase inversion. This configuration is ideal for buffering the sensor signal while providing the necessary amplification.

💡 To understand how electrical power is converted into mechanical work, our Motor Power Output Calculator can provide insights into efficiency.

Non-Inverting Amplifiers in Sensor Buffering and Filters

Op-amp non-inverting amplifiers are critical circuits in a multitude of electronic applications, particularly in sensor interfacing and active filter designs. Their inherent high input impedance makes them ideal for buffering signals from sensitive sources, such as high-impedance pH probes or piezoelectric sensors, ensuring that the amplifier draws minimal current and does not load the sensor, thus preserving signal integrity. In active filters, non-inverting configurations are frequently used as gain stages to compensate for passive component losses or to achieve specific filter characteristics. They are commonly employed to provide gains from unity (1) to 100 or more, maintaining signal polarity throughout the amplification process, which is often a key design requirement.

Optimizing Resistor Ratios for Stable Gain

In the design of op-amp non-inverting amplifiers, the selection of the feedback resistor (Rf) and ground resistor (Rg) is crucial not only for setting the desired gain but also for ensuring circuit stability and optimal performance. Electrical engineers often target resistor values within a practical range, typically from 1 kΩ to 1 MΩ. Using values too low (e.g., hundreds of ohms) can lead to excessive current draw, potentially overloading the op-amp's output and consuming more power. Conversely, excessively high values (e.g., tens of megaohms) can make the circuit susceptible to noise pickup and introduce errors due to the op-amp's input bias current. Therefore, a careful balance is struck to achieve the target gain (e.g., a 90 kΩ Rf and 10 kΩ Rg for a gain of 10) while maintaining robust and reliable operation within the op-amp's specifications for modern electronic systems in 2025.

Frequently Asked Questions

What is an op-amp non-inverting amplifier?

An op-amp non-inverting amplifier is a fundamental operational amplifier circuit that provides an output voltage that is in phase (not inverted) with its input voltage. It offers high input impedance, making it ideal for buffering signals, and its voltage gain is determined by the ratio of a feedback resistor (Rf) and a resistor to ground (Rg).

How is the gain of a non-inverting amplifier determined?

The voltage gain (Av) of an ideal non-inverting amplifier is calculated by the formula Av = 1 + (Rf / Rg), where Rf is the feedback resistor and Rg is the resistor connecting the inverting input to ground. The gain is always greater than or equal to 1, as it cannot attenuate the signal below its input level. For example, if Rf is 90 kΩ and Rg is 10 kΩ, the gain is 10 V/V.

What is the key advantage of a non-inverting amplifier?

The primary advantage of a non-inverting amplifier is its extremely high input impedance, ideally infinite. This characteristic makes it an excellent choice for buffering sensitive signal sources, such as sensors or transducers, as it draws very little current from the source, preventing loading effects and ensuring the integrity of the input signal.

When should I use a non-inverting amplifier over an inverting one?

You should use a non-inverting amplifier when the input signal's polarity must be preserved (no phase inversion), or when the signal source requires a very high input impedance to avoid loading. Common applications include sensor buffering, active filters, and general-purpose amplification where a gain of 1 or greater is needed without signal inversion, which is crucial in 2025's precision electronics.