ToolJoltTools

MFB Band-Pass Filter Designer

R1/R2/R3 for a multiple-feedback band-pass from f₀, Q and gain — the workhorse active band-pass, with the GBW check.

R1 (input)
R2 (to ground)
R3 (feedback)
Bandwidth f₀/Q
Op-amp GBW needed
equal-C MFB: R1=Q/ωCG, R2=Q/(ωC(2Q²−G)), R3=2Q/ωC
References: TI SLOA088 — Active Filter Design Techniques (MFB band-pass) · Op Amp Applications Handbook (Jung), ch. 5

MFB is inverting and tolerant of component spread — its f₀ shifts only with √(R2R3·C1C2), stabler than Sallen-Key at high Q. R2 is the sensitive one (it sets the Q-vs-gain balance): use 1 % parts. The op-amp must supply loop gain at f₀ — the GBW figure shown is the ~20× rule; starve it and the centre frequency sags.

MFB Band-Pass Designer computes the three resistors of a multiple-feedback band-pass from f₀, Q and gain — free, instant and private in your browser. Instrument and tone-detection designers building stable medium-Q bandpasses use it to skip the datasheet algebra: type your numbers, read the answer with the substituted formula shown step by step, and share an exact permalink of the calculation.

About MFB Band-Pass Filter Designer

MFB Band-Pass Designer computes the three resistors of a multiple-feedback band-pass from f₀, Q and gain using the standard engineering relation: R1 = Q/(ωCG); R2 = Q/(ωC(2Q²−G)); R3 = 2Q/(ωC) — equal-C design. Worked live: 1 kHz, Q = 5, gain 2 with 10 nF caps: R1 ≈ 40 kΩ, R2 ≈ 1.7 kΩ, R3 ≈ 159 kΩ. The result recalculates on every keystroke, the worked-example panel shows your numbers substituted into the formula, and the Copy permalink button encodes the inputs in the URL so a colleague opens exactly your calculation. Everything runs client-side — nothing you type leaves your device.

How to use MFB Band-Pass Filter Designer

  1. 1Enter your values — the tool starts with realistic defaults for this exact use case, so the worked example is meaningful immediately.
  2. 2Read the live result and the worked-example panel, which substitutes your numbers into the formula step by step.
  3. 3Adjust any input to compare scenarios, then use Copy result or Copy permalink to share the calculation.

Why use MFB Band-Pass Filter Designer?

  • Implements the real formula — R1 = Q/(ωCG) — with the substitution shown, not a black box
  • Built for instrument and tone-detection designers building stable medium-Q bandpasses
  • Copy result and permalink buttons — share the exact calculation in a README, forum answer or design review
  • 100% free, no sign-up, runs entirely in your browser (works offline once loaded)

Frequently asked questions

How do you calculate mfb band-pass?+

The three resistors of a multiple-feedback band-pass from f₀, Q and gain follows R1 = Q/(ωCG); R2 = Q/(ωC(2Q²−G)); R3 = 2Q/(ωC) — equal-C design. For example, 1 kHz, Q = 5, gain 2 with 10 nF caps: R1 ≈ 40 kΩ, R2 ≈ 1.7 kΩ, R3 ≈ 159 kΩ. The calculator applies the same relation and shows the substituted arithmetic so you can verify every step.

Why MFB instead of Sallen-Key for band-pass work?+

MFB's centre frequency depends on component RATIOS more gently, so it detunes far less with tolerance — the practical choice up to Q ≈ 20. Sallen-Key band-passes get touchy above Q ≈ 5. Beyond 20, switch to state-variable/biquad topologies.

What op-amp bandwidth does an MFB band-pass need?+

Loop gain must survive at f₀: budget GBW ≥ 20·G·Q·f₀. A Q = 10, gain-2, 10 kHz filter therefore wants ≥ 4 MHz — a TL072 barely, an NE5532 comfortably. Starved op-amps show as f₀ sagging low and Q drooping.

Is the MFB Band-Pass Designer free and private?+

Yes — completely free with no sign-up or usage limits, and it runs entirely in your browser: the values you enter are never uploaded or stored on a server.

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