Op-Amp Gain Calculator

Calculate the voltage gain of operational amplifier circuits. Determine gain for inverting and non-inverting amplifier configurations.

Voltage Gain

-10.00

Inverting amplifier

Gain in dB: 20.00 dB

How to Use This Calculator

  1. Select the amplifier configuration: Inverting or Non-Inverting.
  2. Enter R1 value in ohms (the resistor connected to the input).
  3. Enter R2 value in ohms (the feedback resistor).
  4. The calculator displays the voltage gain and gain in decibels (dB).

Op-Amp Gain Formulas

Voltage gain depends on configuration and resistor values:

Inverting: Gain = -R2 / R1
Non-Inverting: Gain = 1 + R2 / R1
Gain (dB) = 20 × log₁₀(|Gain|)

Example: R1 = 1kΩ, R2 = 10kΩ: Inverting gain = -10 (signal inverted, 10x amplification). Non-inverting gain = 11 (signal in phase, 11x amplification). Gain in dB = 20 × log₁₀(10) = 20 dB.

Full Description

Operational amplifiers (op-amps) are versatile integrated circuits used in countless electronic applications. They can amplify signals, filter frequencies, perform mathematical operations, and much more. Understanding op-amp gain is essential for designing amplifiers, filters, and signal processing circuits.

Op-amps have two basic amplifier configurations: inverting and non-inverting. Inverting amplifiers produce negative gain (signal is inverted), while non-inverting amplifiers produce positive gain (signal is in phase). The gain is determined by the ratio of feedback resistor (R2) to input resistor (R1). Inverting amplifiers use the formula -R2/R1, while non-inverting amplifiers use 1 + R2/R1. Gain is often expressed in decibels (dB) for easier comparison and analysis.

This calculator helps you determine op-amp gain. Select the configuration, enter R1 and R2 values, and it calculates the voltage gain and gain in dB. Use it when designing amplifiers, understanding op-amp circuits, selecting resistor values, or learning about operational amplifiers. Op-amps are fundamental to analog electronics and signal processing.

Frequently Asked Questions

What is an operational amplifier?

An operational amplifier (op-amp) is a high-gain voltage amplifier with differential inputs. It's one of the most versatile integrated circuits, used in amplifiers, filters, oscillators, comparators, and many other circuits. Op-amps have very high input impedance and very low output impedance.

What's the difference between inverting and non-inverting?

Inverting amplifier: Output is inverted (180° phase shift), gain = -R2/R1 (negative). Input signal goes to inverting input (-). Non-inverting amplifier: Output is in phase, gain = 1 + R2/R1 (positive). Input signal goes to non-inverting input (+).

How do I calculate op-amp gain?

Inverting: Gain = -R2/R1 (negative gain, signal inverted). Non-inverting: Gain = 1 + R2/R1 (positive gain, signal in phase). For example, R1=1kΩ, R2=10kΩ: Inverting gain = -10, Non-inverting gain = 11.

What are common op-amp gain values?

Common gains: Unity (1x), 10x, 100x, 1000x. Gain depends on R2/R1 ratio. Higher R2/R1 = higher gain. Very high gains (>1000) may require special considerations for stability and bandwidth. Typical values: R1=1kΩ-10kΩ, R2=10kΩ-100kΩ.