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Op-Amp Gain & Bandwidth Calculator
Calculate voltage gain, bandwidth, slew rate limits, and Schmitt trigger thresholds.
Operational Amplifiers (Op-Amps) are analog building blocks used to scale, filter, or compare signals.
Formulas:
- Non-Inverting Gain:
Av = 1 + (Rf / Rg) - Inverting Gain:
Av = - (Rf / Rg) - Schmitt Trigger (Non-Inv) Hysteresis: Thresholds at
Vth = (Vref * R1 +/- Vsat * R2) / (R1 + R2)
Usage: Select your configuration and input resistor values to calculate gain, output voltage, or Schmitt trigger hysteresis thresholds.
When you need it: Setting an inverting or non-inverting stage's gain and checking the resulting bandwidth against the op-amp's gain-bandwidth product, so your signal isn't quietly rolled off.
Worked example: A non-inverting gain of 11 (Rf = 10 kΩ, Rg = 1 kΩ) built on a 1 MHz GBW op-amp gives a bandwidth of GBW / gain = 1e6 / 11 ≈ 91 kHz. More gain buys less bandwidth.
Tips & gotchas:
- Gain × bandwidth is roughly constant (the GBW product) — trade one directly for the other.
- Slew rate limits large, fast signals independently of GBW; check both for a step or high-amplitude sine.
- Input bias current flowing through the source resistance shows up as an output offset — balance the input resistances.
- Driving a capacitive load can cause ringing; a small series resistor or feedback cap restores stability.