4th Order Low Pass RC Filter Calculator
4th order low pass RC filters are essential in electronics for smoothing signals and reducing noise. Our calculator simplifies the design process, ensuring optimal performance.
- Enter the desired resistance (R) in ohms.
- Enter the desired capacitance (C) in farads.
- Enter the desired cutoff frequency (f) in Hertz.
- Click ‘Calculate’ to get the results.
The transfer function of a 4th order low pass RC filter is given by:
H(s) = (1 / (1 + sRC))^4
Where s = jω = 2πf. The calculator uses this formula to determine the filter’s response.
| Case | R (Ω) | C (F) | f (Hz) | Result |
|---|---|---|---|---|
| 1 | 1000 | 100n | 1000 | Magnitude: -1.26, Phase: -135.00° |
| 2 | 10000 | 10n | 10000 | Magnitude: -1.26, Phase: -135.00° |
| 3 | 1000 | 100p | 1000000 | Magnitude: -1.26, Phase: -135.00° |
| Frequency (Hz) | Magnitude (dB) | Phase (°) |
|---|---|---|
| 100 | -0.01 | -0.01 |
| 1000 | -1.26 | -135.00 |
| 10000 | -12.61 | -135.00 |
- Higher order filters provide better attenuation but require more components.
- Capacitors should be chosen for low ESR and high ripple current ratings.
- Resistors should be chosen for low TCR and high power ratings.
What is the difference between a low pass and a high pass filter?
A low pass filter allows low frequencies to pass and attenuates high frequencies, while a high pass filter does the opposite.
Can I use this calculator for other filter types?
Currently, this calculator is only for 4th order low pass RC filters. Other filter types and orders may have different formulas.