High Pass Filter Calculator

Calculate the cutoff frequency, component values, and frequency response of a passive RC or RL high-pass filter circuit.

CUTOFF FREQUENCY
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-3dB Frequency
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Time Constant
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Gain at fc
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Phase at fc
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What Is a High-Pass Filter?

A high-pass filter passes signals with frequencies above a certain cutoff frequency while attenuating lower frequencies. In an RC high-pass filter, the capacitor blocks DC and low frequencies while passing high frequencies to the output. The cutoff frequency (-3 dB point) is where the output amplitude drops to 70.7% of the input.

High-pass filters are essential in audio engineering (removing rumble and hum), radio receivers (blocking DC bias), sensor signal conditioning, and communication systems. A first-order filter provides 20 dB/decade (6 dB/octave) roll-off below the cutoff frequency.

Cutoff Frequency Formula

RC: fc = 1/(2πRC)
RL: fc = R/(2πL)

Common Applications

ApplicationCutoff FreqPurpose
Audio (rumble filter)20-80 HzRemove subsonic noise
Microphone preamp50-150 HzBlock handling noise
DC blocking<1 HzRemove DC offset
RF couplingvariesBlock lower bands

Frequently Asked Questions

What is the difference between first and second order?

A first-order high-pass filter (single RC or RL stage) attenuates at 20 dB per decade below cutoff. Second-order filters (two stages or LC) attenuate at 40 dB per decade, providing sharper frequency selectivity. Higher orders give steeper rolloff but add complexity and potential phase issues.

How do I choose R and C values?

Start with the desired cutoff frequency and a practical resistor value (1k-100k for audio). Calculate C = 1/(2 pi R fc). For audio, 10k with 1.6nF gives about 10kHz cutoff. Use standard component values and verify with measurement, as component tolerances affect the actual cutoff frequency.