Design RC and LC passive filters
Passes frequencies below cutoff, attenuates higher frequencies
fc = 1 / (2π × √(L × C))
Q = (1/R) × √(L/C)
Passive filters use resistors, capacitors, and inductors to shape the frequency response of signals. They require no power supply and are fundamental building blocks in analog circuit design.
Passes low frequencies, attenuates high frequencies
Passes high frequencies, attenuates low frequencies
Passes frequencies within a specific range
| Order | Rolloff Rate | Components | Characteristics |
|---|---|---|---|
| 1st Order | -20 dB/decade | RC | Gentle slope, no resonance |
| 2nd Order | -40 dB/decade | LC or 2×RC | Steeper slope, can have resonance |
| 3rd Order | -60 dB/decade | Multiple stages | Sharp cutoff |
| 4th Order+ | -80+ dB/decade | Multiple stages | Very sharp cutoff, complex design |
The Q factor (Quality factor) describes how "peaky" the filter response is at the cutoff frequency. Higher Q means sharper resonance but can cause ringing.
Overdamped - slow, no overshoot
Butterworth (maximally flat) - optimal for most uses
Underdamped - peaking at cutoff, potential ringing