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RC High-Pass Filter Calculator — result sheet
Calculate cutoff frequency, magnitude gain, gain in decibels, and phase for an ideal first-order RC high-pass filter.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: fc = 1/(2πRC); |H| = x/√(1+x²); x = 2πfRC; phase = arctan(1/x).
The ideal passive RC high-pass model shows how a sinusoid's amplitude and phase vary with frequency relative to the cutoff. The output is taken across the resistor in the stated convention.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Resistance — Ω; minimum 1.0E-6; maximum 1000000000
- Capacitance — F; minimum 1.0E-12; maximum 1000000
- Signal frequency — Hz; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Resistance | 10000 |
| Capacitance | 1.0E-6 |
| Signal frequency | 100 |
Cutoff is about 15.9 Hz and gain magnitude is about 0.988 at 100 Hz.
Assumptions and limits
- The source and load do not alter the ideal RC transfer function.
- Resistance and capacitance are positive SI values and the signal is sinusoidal at one frequency.
- Component tolerance, source impedance, load impedance, parasitics, saturation, and noise are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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