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1. Fundamental Physics of Sound · Concept 6 of 11

Characteristic Impedance

It is the natural built-in resistance to sound that a particular medium, like open air, always has.

Characteristic Impedance Z0 = ρ × c the air's own fixed resistance to sound AIR (the medium) DRIVER high impedance mismatch = lost energy Z0 = ρ × c ρ = density of air (1.204 kg/m³) c = speed of sound (343 m/s) Air Z0 ≈ 413 rayl (Pa·s/m) 413 rayl water ≈ 1.48M rayl ~3,600× air

Air's fixed resistance to sound: Z0 = density × speed of sound ≈ 413 rayl, and the driver↔air mismatch is what bleeds energy.

What it is

The fixed, built-in resistance a medium like air offers to a passing sound wave, set only by the medium itself.

Key facts

How it works

  1. Take the medium's density ρ (air ≈ 1.204 kg/m³).
  2. Take the speed of sound c in that medium (air ≈ 343 m/s).
  3. Multiply: Z0 = ρ × c (air ≈ 413 rayl).
  4. Compare source impedance (cone) to load (air) — big mismatch = poor energy transfer.
  5. Add a horn or baffle to step the impedance down toward air and couple energy efficiently.

Real examples

How it helps in live sound

Everyday analogy

Air has a fixed 'thickness' to sound the way honey is always thicker than water no matter how hard you stir, and a speaker fighting that mismatch is like trying to shove honey with a teaspoon.

Watch out

Myth: impedance is about your speaker's '8 ohm' rating. Correction: characteristic ACOUSTIC impedance (Z0 = ρc ≈ 413 rayl for air) is a property of the air itself, totally separate from the electrical ohms on the speaker terminals.

Fun fact

The air↔water acoustic impedance mismatch is so huge (~3,600:1) that about 99.9% of sound energy hitting a water surface bounces straight back — which is why you can shout over a pool and a swimmer underwater barely hears you.

Key takeaways

  • Z0 = ρ × c — density times speed of sound, nothing else.
  • Air ≈ 413 rayl at 20°C; it's a fixed property of the medium.
  • Big impedance mismatch = poor energy transfer; that's the core speaker problem.
  • Horns, baffles and boundaries exist to bridge the cone↔air mismatch.
  • It's acoustic rayls, NOT the electrical ohms on your amp.
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