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RC Low Pass Filter Calculator
Calculate the cutoff frequency and response of an RC low-pass filter.
RC Parameters
Formulas
Cutoff Frequency
Time Constant (τ)
—
Gain at fc
−3.01 dB
What is an RC Low-Pass Filter?
An RC low-pass filter allows signals below a cutoff frequency to pass through while attenuating higher frequencies. It's one of the simplest and most widely used filter circuits, consisting of just a resistor and capacitor.
The Cutoff Frequency Formula
fc = 1 / (2π × R × C)
At the cutoff frequency (also called −3dB frequency), the output amplitude is 70.7% of the input (−3dB). Above this frequency, the attenuation increases at 20dB per decade.
How to Use This Calculator
Enter R and C to find the cutoff frequency, or enter the desired cutoff frequency and one component to find the other. The calculator also shows attenuation at any frequency.
Practical Examples
Example 1: R = 10kΩ, C = 10nF. fc = 1 / (2π × 10,000 × 0.00000001) = 1,592 Hz ≈ 1.6 kHz.
Example 2: Audio low-pass for subwoofer, cutoff at 200 Hz. Using C = 100nF: R = 1 / (2π × 200 × 0.0000001) = 7,958Ω → use 8.2kΩ.
Example 3: Anti-aliasing filter before a 44.1kHz audio ADC, cutoff at 20kHz. R = 1kΩ, C = 8.2nF gives fc = 19.4 kHz.
Applications
- Audio: Tone controls, speaker crossovers, noise filtering
- Power supplies: Smoothing rectified DC
- ADC anti-aliasing: Preventing high-frequency aliasing in digitisers
- Signal conditioning: Removing noise above the signal band
