RC High-Pass Cutoff Calculator

Enter the resistance and capacitance to get the high-pass cutoff frequency.

How it is calculated

The cutoff frequency comes from the time constant of the resistor and capacitor: fc = 1 / (2 × π × R × C). R is in ohms and C in farads, the base SI units, and fc is returned in hertz with two decimals. Both values must be greater than zero.

The tool takes plain numbers only, so a prefix such as k or n is not understood: 10 kΩ is 10000 and 100 nF is 0.0000001 (1e-7). Doubling either R or C halves the cutoff. The result is the ideal single-pole value at the -3 dB point, where the output has fallen to about 70.7% of the input voltage. It assumes the source has no resistance of its own and that the next stage draws no current, so real circuits with a load can land lower or higher.

Worked example

Take a 10 kΩ resistor with a 100 nF capacitor, entered as 10000 ohms and 0.0000001 farads. Multiply: R × C = 10000 × 0.0000001 = 0.001 s. Then 2π × 0.001 = 0.0062832, and 1 / 0.0062832 = 159.155. The tool shows 159.15 Hz. Signals well above that frequency pass almost unchanged, while those well below are progressively attenuated. A 1 kHz tone is therefore passed, but a 50 Hz hum is reduced.

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Common mistakes

  • Typing the capacitance in microfarads or nanofarads (100 for 100 nF). The field expects farads, so entering 100 gives a cutoff near 0.00 Hz; write 0.0000001.
  • Entering kilo-ohms as ohms, for example 10 for a 10 kΩ resistor. The cutoff then comes out a thousand times too high.
  • Treating fc as a wall. At the cutoff the signal is still at about 70.7% of its voltage; attenuation grows gradually below it rather than stopping.
  • Using this for a low-pass filter. The formula is the same, but the output is taken across the capacitor and the behaviour is reversed: low frequencies pass.
  • Ignoring the load. The calculation does not include source or load impedance, so a low-impedance next stage shifts the real cutoff upward.

About this calculator

An RC high-pass filter — a resistor and capacitor arranged so the output is taken across the resistor — attenuates low frequencies while letting high ones pass. Its −3 dB cutoff frequency, the point where output power drops to half (voltage to ~70.7%), is given by fc = 1 ⁄ (2πRC), where R is resistance in ohms and C is capacitance in farads.

This single-pole filter is one of the most common building blocks in analog electronics: it's used to strip DC offset and low-frequency hum from audio signals, form the “treble” stage in tone-control circuits, and AC-couple stages in amplifier and sensor circuits. Electronics designers use this calculation to pick R and C values that place the cutoff exactly where unwanted low frequencies should start being rejected.

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