RC Filter Calculator
Interactive Bode plot — visualize magnitude and phase response in real time.
Component Values
Results
Cutoff Frequency (f₀)1.592 kHz
Angular Freq. (ω₀)1.000e+4 rad/s
Time Constant (τ)100 µs
Magnitude at f₀-3.01 dB
Phase at f₀-45°
RC Low-Pass Filter
Bode Plot
How does a Low-Pass RC Filter work?
A low-pass filter passes frequencies below the cutoff frequency f₀ and attenuates higher frequencies. At DC (f = 0), the capacitor is an open circuit and all voltage appears at the output. At very high frequencies, the capacitor short-circuits the output to ground.
Transfer Function
H(jω) = 1 / (1 + jωRC)Cutoff Frequency
f₀ = 1 / (2π · R · C)Key Points
- At f = f₀: output is −3 dB (≈ 70.7% of input amplitude)
- Phase at f₀: −45°
- Roll-off rate: −20 dB/decade above f₀
- Time constant τ = RC determines the response speed
Applications
- Audio tone controls (bass boost)
- Anti-aliasing before ADC sampling
- Power supply ripple filtering
- Signal smoothing and averaging