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RC Filter Calculator — Cutoff, Gain, Phase & Time Constant

Analyze an ideal first-order RC low-pass or high-pass response from resistance, capacitance and signal frequency with engineering-unit inputs.

Results

Cutoff 1,591.549 Hz
Gain 0.846733
Gain -1.44507 dB
Phase -32.14191°
τ 0.0001 s

Formula and assumptions

fc=1/(2πRC); LP |H|=1/√(1+(f/fc)²); HP |H|=(f/fc)/√(1+(f/fc)²).

1 kΩ and 100 nF gives fc ≈ 1.592 kHz.

  • Ideal first-order passive RC network.
  • Source and load impedance are not included.

Frequently asked questions

Is cutoff always -3 dB?

For the ideal first-order response, magnitude at cutoff is 1/√2, about -3.01 dB.

How is this different from RC time constant?

The same RC product sets both τ=RC and fc=1/(2πτ).

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