Acoustics

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Closed baffle circuit

The sealed box enclosure for sub-woofers can be modeled as a lumped element system if the dimensions of the box are significantly shorter than the shortest wavelength reproduced by the sub-woofer. Most sub-woofer applications are crossed over around 80 to 100 Hz. A 100 Hz wave in air has a wavelength of about 11 feet. Sub-woofers typically have all dimensions much shorter than this wavelength, thus the lumped element system analysis is accurate. Using this analysis, the following circuit represents a sub-woofer enclosure system.

Circuit.jpg

where all of the following parameters are in the mechanical mobility analog

Ve - voltage supply
Re - electrical resistance
Mm - driver mass
Cm - driver compliance
Rm - resistance
RAr - rear cone radiation resistance into the air
XAf - front cone radiation reactance into the air
RBr - rear cone radiation resistance into the box
XBr - rear cone radiation reactance into the box