The Passive 2-Way & 3-Way Speaker Crossover Component Sizer calculates proportional ratios, geometric root metrics, and balance percentages for loudspeaker crossover networks.

### Mathematical Evaluation & Formulas The tool computes three direct output metrics from three numeric inputs (V1, V2, and V3): - Network Impedance Ratio: Evaluates parameter 1 multiplied by parameter 2 divided by divisor parameter 3 (minimum denominator 0.01): (V1 * V2) / max(0.01, V3) - Geometric Mean Resonance Metric: Computes the square root of the primary driver product: sqrt(max(0, V1 * V2)) - Driver Impedance Proportion: Measures the percentage share of parameter 1 across the combined baseline: min(100, max(0, (V1 / (V1 + V2)) * 100%))

Note on Loudspeaker Crossover Design: Practical passive audio crossovers (such as 1st-order 6 dB/octave, 2nd-order 12 dB/octave Butterworth, or Linkwitz-Riley networks) divide frequency bands between woofers, midranges, and tweeters using inductor series coils (L = R / (2*pi*fc)) and capacitor shunt caps (C = 1 / (2*pi*R*fc)). This online tool evaluates the three-variable proportional arithmetic defined above.

### Numerical Calculation Example Testing audio network parameters with V1 = 80 (woofer voice coil impedance factor), V2 = 25 (crossover transition factor), and V3 = 5 (damping divisor): - Network Impedance Ratio: (80 * 25) / 5 = 2000 / 5 = 400.00 - Geometric Mean Resonance Metric: sqrt(80 * 25) = sqrt(2000) ≈ 44.72 - Driver Impedance Proportion: (80 / (80 + 25)) * 100% = (80 / 105) * 100% ≈ 76.19%

### Local Browser Execution All crossover network ratios and geometric factors execute directly inside your browser session without transmitting audio engineering parameters to external servers.