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The acoustic impedance Z (or sound impedance) is the ratio of sound pressure p to particle velocity v in a medium or acoustic component.

Distinction has to be made between:

  • the characteristic acoustic impedance Z0 of a medium, usually air (compare with characteristic impedance in transmission lines).
  • the impedance Z of an acoustic component, like a wave conductor, a resonance chamber, a muffler or an organ pipe.

目录

[编辑] Characteristic impedance

The characteristic impedance of a medium (usually air, but also for instance exhaust gases in a muffler) is the ratio of sound pressure p to particle velocity v in open field (i.e. in a condition of no reflecting waves). This impedance is a material constant and equals the product of the density of air ρ (rho) and the speed of sound c:

Z_0 =  \rho \cdot c \,

ρ (rho) = density of air in kg/m3
c = speed of sound (acoustic wave velocity) in m/s

Note: Z0 is expressed in Pa·s/m. Before the pascal was introduced by the SI, impedance was expressed in N·s/m3.

The characteristic acoustic impedance of air at one atmosphere pressure Z0 equals:

  • 410 Pa·s/m at a temperature of 25 °C (77 °F)
  • 413 Pa·s/m at 20 °C (68 °F).

°C = degree Celsius and °F = degree Fahrenheit.

Table - Acoustic impedance Z0, Speed of sound in air c, density of air ρ vs. temperature °C at 1 atm pressure

Impact of temperature
°C Z in Pa·s/m c in m/s ρ in kg/m³
− 10 436.5 325.4 1.341
−  5 432.4 328.5 1.316
    0 428.3 331.5 1.293
+  5 424.5 334.5 1.269
+ 10 420.7 337.5 1.247
+ 15 417.0 340.5 1.225
+ 20 413.5 343.4 1.204
+ 25 410.0 346.3 1.184
+ 30 406.6 349.2 1.164

[编辑] Impedance of acoustic components

The acoustic impedance Z of an acoustic component (in Pa·s/m) is the ratio of sound pressure p to particle velocity v at a transition with a previous component:

Z = \frac{p}{v} = \frac{I}{v^2} = \frac{p^2}{I} \,

p = sound pressure in N/m2 = Pa = pascal
v = particle velocity in m/s
I = sound intensity in W/m2

[编辑] See also

  • Impedance

[编辑] External links

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