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First-Order Crossover Frequency Calculator — result sheet
Estimate the transition frequency and time constant of an ideal first-order RC crossover network.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: f_c = 1/(2πRC); τ = RC.
The page treats the crossover as a single-pole RC network and reports its -3 dB transition frequency, time constant, and angular frequency.
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 — µF; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Resistance | 8 |
| Capacitance | 100 |
The ideal transition frequency is about 198.94 Hz and the RC time constant is 0.0008 s.
Assumptions and limits
- Resistance is in ohms and capacitance is in microfarads; the handler converts capacitance to farads before evaluating the relation.
- The network is an ideal first-order RC section with no source impedance, speaker impedance variation, parasitic component, or acoustic response model.
- The result is a circuit transition estimate, not a complete loudspeaker crossover design or a safe component rating.
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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