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An op-amp's Gain-Bandwidth Product (GBP) is a fixed constant that describes a direct trade-off: the higher the gain you configure it for, the lower the usable bandwidth becomes, and vice versa. This calculator solves for whichever value — gain, bandwidth, or GBP — is missing.
How it works
Enter any 2 of the 3 values (gain, bandwidth, or gain-bandwidth product) and leave the one you want to solve for blank. The calculator applies GBP = Gain × Bandwidth.
- Enter gain (V/V) — leave blank to solve for this.
- Enter bandwidth (Hz) — leave blank to solve for this.
- Enter gain-Bandwidth Product (Hz) — leave blank to solve for this.
- Click Calculate to see your results.
Examples
A common general-purpose op-amp
An op-amp with a 1 MHz gain-bandwidth product configured for a gain of 100 has a usable bandwidth of only 10 kHz — the higher the gain, the narrower the frequency range it can amplify accurately.
Who should use it
- Op-amp selection and circuit design coursework.
- Checking whether an amplifier design meets both gain and bandwidth requirements.
Industry applications
- Analog and mixed-signal circuit design
- Audio and instrumentation amplifier design
Advantages
- Solves for any of the three variables, not just forward GBP calculation.
- Quick way to check whether an op-amp is suitable for a target gain and bandwidth combination.
Limitations
- GBP is only an approximate, single-pole model of real op-amp behavior — real devices can deviate somewhat from this ideal relationship.
Common mistakes to avoid
- Assuming an op-amp can deliver high gain AND wide bandwidth simultaneously — GBP fixes a direct trade-off between the two.
- Confusing gain-bandwidth product with slew rate — they're both op-amp speed-related specs, but describe different limitations (small-signal frequency response vs. large-signal rate of change).
Best practices
- Check an op-amp's GBP against both your required gain AND required bandwidth before selecting it for a design.
- Remember GBP is a small-signal spec — also check slew rate separately for large-signal, fast-changing outputs.
Tips
- If you need both high gain and wide bandwidth, consider a multi-stage amplifier design instead of trying to push a single op-amp stage past its GBP limit.