Precision crossover calculator for hi-fi, studio monitors, and DIY speakers. Compute high‑pass (tweeter) and low‑pass (woofer) component values, view real‑time frequency response, and understand filter slopes — all with authoritative formulas from loudspeaker design literature.
A passive crossover splits the audio signal into frequency bands, directing high frequencies to the tweeter and low frequencies to the woofer. The correct capacitor (C) and inductor (L) values ensure a flat acoustic response, phase alignment, and protection for drivers. This calculator implements the widely accepted Butterworth alignment (maximally flat magnitude) for 1st and 2nd order networks — a standard in loudspeaker design (Vance Dickason, Loudspeaker Design Cookbook).
1st order high‑pass: C = 1 / (2π × fc × RH) Low‑pass: L = RL / (2π × fc)
2nd order Butterworth (12 dB/oct):
High‑pass: C1 = 1 / (√2 × 2π fc RH), L2 = RH / (√2 × 2π fc)
Low‑pass: L1 = RL / (√2 × 2π fc), C2 = 1 / (√2 × 2π fc RL)
Formulas derived from filter theory (Zverev, 1967; Butterworth polynomial).
An audio engineer builds a 2‑way passive monitor using a 6.5" woofer (8Ω) and a 1" silk dome tweeter (8Ω). A crossover point of 2.5 kHz with 2nd order Butterworth yields:
Woofer low‑pass: L = 0.90 mH, C = 4.5 µF ; Tweeter high‑pass: C = 4.5 µF, L = 0.90 mH. This produces symmetrical roll‑off, -6 dB at crossover with proper phase alignment (180° shift between sections yields coherent summing). The graph verifies a flat summed response in ideal conditions.
Nominal impedance is an approximation; actual voice coil impedance rises with frequency (due to Le). For precise designs, measure impedance at crossover frequency. Our calculator assumes resistive loads — still, it provides an excellent starting point for crossover prototyping. Many high‑end designs include Zobel networks to flatten impedance, but the base Butterworth values remain valid. As referenced in Audio Engineering Society (AES) papers, 2nd order electrical filters combined with acoustic slopes often achieve LR‑4 acoustic targets.