Calculate operational amplifier gain for inverting, non-inverting, and differential configurations. Includes bandwidth, input impedance, and component value selection.
The Op-Amp Gain Calculator determines voltage gain, component values, and bandwidth for common operational amplifier configurations. Operational amplifiers (op-amps) are fundamental building blocks in analog electronics, used in everything from audio systems and instrumentation to signal conditioning and control systems.
This calculator covers the three most common op-amp configurations: inverting amplifier (gain = −Rf/Rin), non-inverting amplifier (gain = 1 + Rf/Rin), and differential amplifier (gain = Rf/R1 × difference). For each configuration, it calculates the exact gain, recommends standard resistor values, estimates bandwidth using the gain-bandwidth product (GBP), and computes input and output impedance. It also gives you a quick way to compare resistor choices before you commit to a real analog stage.
Beyond basic gain calculations, the tool helps with practical circuit design by suggesting E-series resistor values, calculating frequency response limits, and warning about common design issues like excessive gain causing instability, insufficient phase margin, or output voltage clipping.
Use this calculator when you want gain, bandwidth, and resistor values tied together before you build the circuit. It is useful for homework, sensor conditioning, and practical analog design where the simple gain formula is only part of the real answer. The extra context helps you see whether the circuit will actually behave the way you expect at your target frequency.
Inverting: Gain = −Rf/Rin. Non-inverting: Gain = 1 + Rf/Rin. Differential: Gain = Rf/R1 (when R2/R3 = Rf/R1). Bandwidth = GBP / |Gain|. Input impedance (inverting) = Rin. Input impedance (non-inverting) ≈ very high (open-loop × Rin).
Result: Gain = −10 (20 dB), Bandwidth = 100 kHz, Input impedance = 10 kΩ
With Rf = 100kΩ and Rin = 10kΩ, the inverting gain is −100k/10k = −10. With a 1 MHz GBP op-amp, the −3dB bandwidth is 1MHz/10 = 100 kHz.
The three basic op-amp configurations serve different purposes. The inverting amplifier provides precise gain with the input impedance set by Rin, but inverts the signal. The non-inverting amplifier offers very high input impedance (ideal for buffering) with gain always ≥1. The differential amplifier rejects common-mode signals, making it ideal for sensor interfaces and instrumentation.
Real op-amp circuits must account for several non-ideal factors. Input offset voltage causes DC errors proportional to gain. Input bias current flowing through resistors creates additional offset. Slew rate limits the maximum rate of output change, causing distortion at high frequencies even below the small-signal bandwidth. Temperature coefficients of resistors affect gain stability over temperature.
Op-amp selection depends on your application. For general purpose: LM741, TL072, or NE5532. For precision: OPA2277, AD8628. For high-speed: LM6172, AD8065. For low noise: OPA1612, AD797. For low power: MCP6001, OPA333. The gain-bandwidth product, input offset voltage, noise spectral density, and supply current are the key specifications to compare.
GBP is a constant for a given op-amp: Gain × Bandwidth = constant. A 1 MHz GBP op-amp with gain of 10 has 100 kHz bandwidth, or with gain of 100 has 10 kHz bandwidth. Common GBPs range from 1 MHz (LM741) to 1 GHz+ (high-speed op-amps).
The negative sign indicates a 180° phase inversion—when the input goes positive, the output goes negative. The magnitude of gain is still Rf/Rin. This phase inversion is important in feedback systems and signal processing.
Keep resistors in the 1kΩ to 1MΩ range. Too low (< 1kΩ) draws excessive current; too high (> 1MΩ) picks up noise and is affected by op-amp input bias current. Use standard E24 or E96 series values.
For a single op-amp stage, gains above 100 (40 dB) become impractical due to bandwidth limitations and increased noise. For higher gains, cascade multiple stages with moderate gain each.
Op-amp output voltage is limited by the supply rails (typically ±1-2V from supply voltage). If the gain × input exceeds this range, the output clips (saturates), distorting the signal.
Use differential amplifiers to amplify the difference between two signals while rejecting common-mode noise. Use inverting for single-ended signals when you can accept the sign inversion. Use non-inverting for high input impedance applications.