Filter Cutoff

Calculate the cutoff frequency of first-order RC and RL filters and second-order LC filters, or pick a component for a target frequency with standard E-series values. Includes a Bode magnitude plot and attenuation table.

Cutoff frequency (โˆ’3 dB)
1.592 kHz
Angular frequency ฯ‰
10 krad/s
Time constant ฯ„
100 ยตs
5ฯ„ (99.3 % settled) = 500 ยตs
Magnitude Response
0-10-20-30-40-50-6010Hz100Hz1kHz10kHz100kHz1MHzfcโˆ’3 dB

Rolloff: โˆ’20 dB/decade (1st order)

FrequencyGainVout / VinPhase
159.2 Hz-0.04 dB0.9950-5.7ยฐ
795.8 Hz-0.97 dB0.8944-26.6ยฐ
1.592 kHz-3.01 dB0.7071-45.0ยฐ
3.183 kHz-6.99 dB0.4472-63.4ยฐ
15.92 kHz-20.04 dB0.0995-84.3ยฐ
159.2 kHz-40.00 dB0.0100-89.4ยฐ

fc = 1 / (2ฯ€ R C)