What is the formula for Non-inverting op-amp calculator?

Core formula: A = 1 + Rf/Rg | BW = GBW / A | SR = 2π·f·Vpk | FPBW = SR / (2π·Vpk) | A_range = 1 + Rf(1±t)/Rg(1∓t). The tool returns results instantly using this formula and the selected parameters.

What engineering notes should I keep in mind when using Non-inverting op-amp calculator?

Non-inverting amplifier: the signal drives the + input, Rf feeds back from the output to the − input and Rg goes from the − input to ground; gain A = 1 + Rf/Rg, with a minimum of 1 (follower) and a high input impedance. Bandwidth trades against gain: GBW is fixed, so the closed-loop bandwidth is BW = GBW/A. For more bandwidth, lower the gain or use multiple stages / a higher-GBW part. Slew rate is the large-signal limit: a sine output needs SR = 2π·f·Vpk, and exceeding it tu…

Non-inverting op-amp calculator

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Non-inverting op-amp stage: derive the voltage gain from Rf/Rg, or pick standard resistors for a target gain, then use the resistor tolerance to bound the gain error, and check gain-bandwidth and slew-rate limits (closed-loop bandwidth, full-power bandwidth, rise time).

Key points

A non-inverting amplifier feeds the signal into the + input, with feedback resistor Rf from the output back to the − input and Rg from the − input to ground; the voltage gain is A = 1 + Rf / Rg, with a minimum of 1 (follower). The closed-loop bandwidth is BW = GBW / A (GBW is the op-amp gain-bandwidth product). For a sine output with peak voltage Vpk the required slew rate is SR = 2π·f·Vpk, and the highest sine frequency a given SR supports (full-power bandwidth) is FPBW = SR / (2π·Vpk); beyond it slope distortion appears. The tool solves both ways: gain from Rf/Rg, or standard resistor combinations for a target gain, together with bandwidth, slew-rate margin and rise time.

Inputs

A = 1 + Rf/Rg | BW = GBW / A | SR = 2π·f·Vpk | FPBW = SR / (2π·Vpk) | A_range = 1 + Rf(1±t)/Rg(1∓t)

DirectionFeedback resistor RfkΩOutput → inverting input (−)Ground resistor RgkΩInverting input (−) → ground / reference (not a virtual ground in non-inverting mode)Resistor tolerance%Used to bound the gain error from the chosen resistors (1% common; 0.1% / 0.01% for precision)Gain-bandwidth product GBWMHzGBW / unity-gain bandwidth from the op-amp datasheet; closed-loop BW = GBW/ASlew rate SRV/µsAbout 0.5 for the LM358, 13 for the TL072; high-speed op amps reach hundreds of V/µsInput signal amplitude (peak)VSine peak; output peak = input peak × ASignal frequency fHzUsed for the slew-rate and bandwidth checksPositive supply V+VFor the output-clipping check (single supply: fill in Vcc; negative rail: 0)Negative supply V−VDual supply: a negative value (e.g. −15); single supply / ground: 0

Calculation model (updates with parameters)

Bode plot (magnitude / phase, updates with parameters)

Non-inverting voltage gain A	11.000V/V	A = 1 + Rf/Rg; ≈ 20.83 dB
Gain (dB)	20.83 dB	20 · log10(A)
Feedback ratio Rf / Rg	10.000	Rf = (A − 1) · Rg
Gain range (resistor tolerance)	10.802 ~ 11.202V/V	±1.00% resistor worst case: -1.80% ~ +1.84%
Output amplitude range (resistor tolerance)	1.080 ~ 1.120 V	input peak 100 mV unchanged
Maximum resistor-mismatch error	±1.84%	gain error -1.80% ~ +1.84%; output peak 1.080 ~ 1.120 V
Equivalent Rf / Rg	10 kΩ / 1 kΩ
Closed-loop bandwidth BW = GBW / A	90.91 kHz	GBW 1 MHz; single-pole model -3 dB
Output amplitude (peak / peak-to-peak)	1.100 / 2.200 V	Input 100 mV × A
Required slew rate SR_req	69.12 mV/µs	2π · f · Vpk @ 10 kHz
Device SR / margin	×7.23	Device 500 mV/µs \| required 69.12 mV/µs
Full-power bandwidth FPBW	72.34 kHz	Highest sine frequency the slew rate allows
Small-signal rise time tr	3.85 µs	≈ 0.35 / BW (10–90%)
Slew-limited rise time	4.4 µs	peak-to-peak 2.200 V / SR
f = 10 kHz actual output amplitude	1.093 V	Bandwidth attenuates to 99.4% \| phase lag 6.3°

Engineering notes

Non-inverting amplifier: the signal drives the + input, Rf feeds back from the output to the − input and Rg goes from the − input to ground; gain A = 1 + Rf/Rg, with a minimum of 1 (follower) and a high input impedance.
Bandwidth trades against gain: GBW is fixed, so the closed-loop bandwidth is BW = GBW/A. For more bandwidth, lower the gain or use multiple stages / a higher-GBW part.
Slew rate is the large-signal limit: a sine output needs SR = 2π·f·Vpk, and exceeding it turns the sine into a triangle; small-signal settling depends on GBW and phase margin.
The output swing is typically about 1.5 V below each rail (except rail-to-rail parts); with a single supply, bias the signal to V+/2 or the negative half will clip.
Rg and Rf contribute noise and bias-current error: keep Rf moderate (usually ≤ 1 MΩ) and add an equal resistor in series with the + input to balance the bias current.

FAQ

What is Non-inverting op-amp calculator for?: Non-inverting op-amp stage: derive the voltage gain from Rf/Rg, or pick standard resistors for a target gain, then use the resistor tolerance to bound the gain error, and check gain-bandwidth and slew-rate limits (closed-loop bandwidth, full-power bandwidth, rise time).
What is the formula for Non-inverting op-amp calculator?: Core formula: A = 1 + Rf/Rg | BW = GBW / A | SR = 2π·f·Vpk | FPBW = SR / (2π·Vpk) | A_range = 1 + Rf(1±t)/Rg(1∓t). The tool returns results instantly using this formula and the selected parameters.
What engineering notes should I keep in mind when using Non-inverting op-amp calculator?: Non-inverting amplifier: the signal drives the + input, Rf feeds back from the output to the − input and Rg goes from the − input to ground; gain A = 1 + Rf/Rg, with a minimum of 1 (follower) and a high input impedance. Bandwidth trades against gain: GBW is fixed, so the closed-loop bandwidth is BW = GBW/A. For more bandwidth, lower the gain or use multiple stages / a higher-GBW part. Slew rate is the large-signal limit: a sine output needs SR = 2π·f·Vpk, and exceeding it tu…