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Speaker Sound Q Calculator

This calculator determines the total quality factor (Q) of a speaker based on its electrical and mechanical properties. It’s commonly used in speaker enclosure design to assess how a driver responds near its resonant frequency, affecting bass response and system damping.

Loudspeaker Total Q Factor Estimator

Input Fields
f₀
Hz
Center (resonant) frequency of the speaker
f₁
Hz
Lower frequency at -3 dB point
f₂
Hz
Upper frequency at -3 dB point
If enabled, the result will update automatically when you change any value.

Speaker Q Factor Formula

Formula
$$Q_{ts} = \frac{Q_{ms} \cdot Q_{es}}{Q_{ms} + Q_{es}}$$

Where:

  • $$Q_{ts}$$ = total (system) Q factor
  • $$Q_{ms}$$ = mechanical Q factor
  • $$Q_{es}$$ = electrical Q factor

This formula gives the total Q factor, which affects the speaker’s transient response and low-frequency roll-off.


Speaker Sound Q – Calculation Example

Given:

  • $$Q_{ms}$$ = 5.5
  • $$Q_{es}$$ = 0.5

Calculation:

  1. $$Q_{ts} = \frac{5.5 \cdot 0.5}{5.5 + 0.5} = \frac{2.75}{6} ≈ 0.458$$


The total Q factor (Qts) is a critical parameter in loudspeaker design. It combines electrical damping from the voice coil (Qes) and mechanical damping from the suspension (Qms). A lower Qts typically results in tighter bass response, while higher values yield more resonant, looser bass. This calculator helps designers and audio engineers quickly evaluate driver behavior to match it with suitable enclosures like sealed or vented boxes.

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