RC filter cutoff calculator

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Filter values

Cutoff frequency

−3 dB cutoff (fc)

fc = 1 ÷ (2π·R·C)

159.2 Hz

Phase shift at fc

Single RC section

-45°

A low-pass RC section is −3 dB at cutoff and rolls off at −20 dB/decade (above fc).

Reverse — component for a target cutoff

Required R (using C above)

R = 1 ÷ (2π·fc·C)

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Required C (using R above)

C = 1 ÷ (2π·fc·R)

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About RC filters

A single RC section is the building block of tone controls, anti-aliasing front-ends and DC blockers. It is first-order — only 20 dB/decade — so real designs cascade sections or use an op-amp stage for sharper roll-off. Capacitor tolerance (typically ±10 % or worse) directly moves the cutoff, so leave margin in a production design.

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