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Crossover Calculator — Passive Speaker Crossover Design

Calculate crossover component values for passive speaker crossover networks.

How We Calculate This

These formulas size the components from the nominal driver impedance Z (Ω) and the crossover frequency f (Hz), treating the driver as a pure resistor. Capacitors come out in microfarads (µF) and inductors in millihenries (mH). The number of components per driver leg equals the filter order: 1st order = 1, 2nd = 2, 3rd = 3, 4th = 4.

1st Order Butterworth (6 dB/oct)

High-pass series capacitor: C = 1 / (2πfZ)

Low-pass series inductor: L = Z / (2πf)

2nd Order Butterworth (12 dB/oct)

C = √2 / (4πfZ) = 0.1125 / (fZ)

L = √2·Z / (2πf) = 0.2251·Z / f

3rd Order Butterworth (18 dB/oct)

High-pass: C1 = 0.1061/(fZ), C2 = 0.3183/(fZ), L1 = 0.1194·Z/f

Low-pass: L1 = 0.2387·Z/f, L2 = 0.0796·Z/f, C1 = 0.2122/(fZ)

4th Order Linkwitz-Riley (24 dB/oct)

High-pass: C1 = 0.0844/(fZ), C2 = 0.1688/(fZ), L1 = 0.1000·Z/f, L2 = 0.4502·Z/f

Low-pass: L1 = 0.3001·Z/f, L2 = 0.1501·Z/f, C1 = 0.2532/(fZ), C2 = 0.0563/(fZ)

Frequently Asked Questions

Last updated: June 2026

All calculations are estimates based on standard formulas. Always verify results for critical applications.