RC High-Pass Filter Calculator
Enter resistor and capacitor values to calculate the cutoff frequency (fc) for a first-order RC high-pass filter. Optionally add a test frequency to estimate gain and phase shift.
What is a high-pass filter?
A high-pass filter allows frequencies above a chosen threshold to pass through while reducing lower frequencies. In a basic RC high-pass circuit, the capacitor blocks slow-changing signals and gradually allows faster-changing signals. This makes high-pass filters useful for removing DC offsets, reducing low-frequency rumble, and shaping tone in audio and signal-conditioning circuits.
How this high pass calculator works
This calculator uses the standard first-order RC high-pass cutoff formula:
fc = 1 / (2πRC)
- R is resistance in ohms (Ω)
- C is capacitance in farads (F)
- fc is cutoff frequency in hertz (Hz)
At cutoff frequency, the output amplitude is approximately 70.7% of the input (−3 dB point). Below cutoff, the signal attenuates progressively. Above cutoff, the signal approaches full pass-through.
Optional test-frequency analysis
If you provide a test frequency, the calculator also estimates:
- Magnitude ratio (Vout/Vin)
- Gain in dB
- Phase shift (degrees)
This is helpful when you want to know not just where cutoff occurs, but what your circuit does at a specific frequency in your application.
Example
Suppose you choose R = 1 kΩ and C = 100 nF. The resulting cutoff frequency is about 1.59 kHz. That means:
- Frequencies much lower than 1.59 kHz are significantly attenuated.
- Around 1.59 kHz, output is at the -3 dB point.
- Frequencies much higher than 1.59 kHz are mostly passed.
Choosing practical component values
1) Start with your target cutoff
Pick the frequency where you want low-frequency roll-off to begin.
2) Select one component based on availability
Designers often select a common capacitor value first (for cost and tolerance reasons), then solve for resistor value.
3) Check source and load interactions
Real circuits are rarely ideal. Input source resistance and output load resistance can shift the effective cutoff. If precision matters, include those impedances in your design calculations or simulation.
4) Verify tolerance impact
With ±5% resistors and ±10% capacitors, your actual cutoff can vary noticeably. For tighter control, use lower-tolerance components.
Common applications
- AC coupling between amplifier stages
- Removing DC bias before analog-to-digital conversion
- Reducing low-end noise in microphone and audio paths
- Edge detection and transient conditioning
- Sensor signal cleanup where low-frequency drift is unwanted
FAQ
Is this for active or passive high-pass filters?
This tool targets a first-order passive RC high-pass filter. Active filters (using op-amps) can provide gain and steeper responses, but this calculator still helps as a foundational reference.
Why is my measured cutoff different from calculated?
Typical reasons include component tolerances, parasitic capacitance, source impedance, load impedance, and measurement setup effects.
Can I use this for audio crossover design?
Yes, for basic first-order estimates. For speaker crossovers, account for real driver impedance curves and power handling before finalizing values.