Crossover Calculator

A crossover splits audio between drivers (e.g. tweeter and woofer) at a set frequency.

How the Math Works

The crossover frequency formula fc = 1 ÷ (2π·R·C) calculates the frequency at which a filter transitions between amplifying and attenuating signals. Here, π (pi) represents the relationship between circular and linear frequency, while R and C are the resistance and capacitance values in the circuit. Multiplying these three values gives the time constant (τ), and taking its reciprocal after multiplying by 2π yields the frequency in Hertz where the filter's effect becomes most pronounced.

Practical Applications

To use this calculator practically, first measure or identify your speaker's impedance (R) in ohms and the capacitor value (C) in farads. For example, with an 8Ω speaker and 0.00001F capacitor, the calculation yields approximately 1989 Hz. This tells you the frequency point where the speaker's filter begins to roll off, helping you design crossover networks that properly split audio frequencies between drivers like woofers and tweeters in your sound system.

Day-to-Day Use

This calculation helps you get better sound quality from your home audio setup, car stereo, or professional sound equipment. By determining the right crossover frequency, you ensure that each speaker component receives the frequencies it handles best - preventing damage to delicate tweeters from low bass notes and letting woofers work effectively without trying to reproduce high frequencies they're not designed for. The result is clearer, more balanced audio that makes your music sound closer to the artist's original recording.

Worked example

8 Ω tweeter with 10 µF → about 1989 Hz.

FAQ