Electronics · Free Calculator
Op Amp Gain Bandwidth and Slew Rate Calculator
Check whether an op amp is fast enough: closed loop bandwidth from the gain bandwidth product, and full power bandwidth from the slew rate.
GBW ÷ gainSlew rateFull power bandwidthOp amp selection
V/µs
V
Closed loop bandwidth (−3 dB)100 kHz
Full power bandwidth7.958 kHz
Usable large signal bandwidth7.958 kHz
Rise time (small signal)3.5 µs
How this result was calculated
- f−3dB = GBW ÷ G = 1 MHz ÷ 10 = 100 kHz
- fp = SR ÷ (2π Vp) = 7.958 kHz
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Bandwidth Formulas
f−3dB = GBW ÷ noise gain
Full power bandwidth fp = SR ÷ (2π × Vpeak)
Rise time ≈ 0.35 ÷ f−3dB
Full power bandwidth fp = SR ÷ (2π × Vpeak)
Rise time ≈ 0.35 ÷ f−3dB
Noise gain is 1 + Rf/Rg for both inverting and non inverting stages. Use the GBW and slew rate from the op amp data sheet.
Worked example
A 741 class op amp (GBW 1 MHz, slew rate 0.5 V/µs) at a gain of 10 has 100 kHz small signal bandwidth, but can only swing 10 V peak up to 7.96 kHz before slew limiting distorts the sine wave.
Key insight: the slew rate, not the GBW, usually limits large signals; check both, and use the lower of the two as the real bandwidth.
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Frequently Asked Questions
What is gain bandwidth product?
The frequency at which the open loop gain of a voltage feedback op amp falls to 1. Closed loop bandwidth is GBW divided by noise gain.
What is full power bandwidth?
The highest frequency at which the op amp can produce its full output swing without slew rate distortion.
Why is noise gain used instead of signal gain?
An inverting stage with gain −1 has a noise gain of 2, so its bandwidth is GBW ÷ 2, not GBW.
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