Le Calculateur de fréquence de coupure aide à déterminer le frequency at which a circuit begins to attenuate a signal, marking the transition between the passband and stopband in filtres électroniques. Ceci est crucial pour audio processing, communication systems, and circuit design.
Cutoff frequency is widely used in:
- Filtres passe-bas (allowing low frequencies while blocking higher ones).
- Filtres passe-haut (allowing high frequencies while blocking lower ones).
- Band-pass and band-stop filters (allowing or rejecting a specific frequency range).
This calculator is particularly useful for engineers, students, and hobbyists travailler avec resistor-capacitor (RC) and resistor-inductor (RL) circuits.
Formula of Cutoff Frequency Calculator
For an RC (Resistor-Capacitor) Circuit:
The cutoff frequency is calculated using:
f_c = 1 / (2π × R × C)
Où :
- f_c = Cutoff frequency (in hertz, Hz)
- R = Resistance (in ohms, Ω)
- C = Capacitance (in farads, F)
- π = Approximately 3.1416
For an RL (Resistor-Inductor) Circuit:
The cutoff frequency is calculated using:
f_c = R / (2π × L)
Où :
- f_c = Cutoff frequency (in hertz, Hz)
- R = Resistance (in ohms, Ω)
- L = Inductance (in henries, H)
- π = Approximately 3.1416
These formulas help determine the frequency response of electronic circuits, ensuring optimal design and performance.
General Cutoff Frequency Reference Table
Le tableau suivant fournit pre-calculated cutoff frequencies for different resistor and capacitor values.
| Résistance (Ω) | Capacité (µF) | Fréquence de coupure (Hz) |
|---|---|---|
| 1,000 | 1 | 159.2 |
| 5,000 | 0.5 | 63.7 |
| 10,000 | 0.1 | 159.2 |
| 50,000 | 0.01 | 318.3 |
| 100,000 | 0.005 | 318.3 |
Ce tableau fournit une quick reference for engineers and students designing electronic filters.
Example of Cutoff Frequency Calculator
A Filtre passe-bas circuit has:
- Resistance (R) = 10,000Ω
- Capacitance (C) = 0.1µF (0.0000001F)
En utilisant la formule :
f_c = 1 / (2 × 3.1416 × 10,000 × 0.0000001)
f_c = 159.2 Hz
This means the circuit attenuates frequencies above 159.2 Hz, permettant uniquement lower frequencies to pass.
FAQ les plus courantes
Cutoff frequency defines where a circuit starts blocking signals, assurant proper filtering, noise reduction, and signal processing.
À lower the cutoff frequency, increase capacitance or resistance dans un Circuit RC, ou increase inductance in an RL circuit.
Yes, the same formulas apply, but in a filtre passe-haut, frequencies above the cutoff frequency passer à travers, while lower frequencies are bloqué.