Low Frequency Enclosures - Car Audio - Home Theater Sound System
Subwoofer Box Comparison Calculator:
Compare bandpass, sealed and vented frequency output graphs
for a subwoofer in one program.
Solve for constant.
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Tap or click to solve for a different unknown or equation
constant
constant | |
speaker system total Q at fc | |
speaker total Q at fs |
efficiency bandwidth product
efficiency bandwidth product | |
speaker resonance frequency | |
speaker electrical Q |
system resonance frequency
system resonance frequency | |
speaker system total Q at fc | |
speaker resonance frequency | |
speaker total Q at fs |
minus three decibel half power frequency
minus three decibel half power frequency | |
system resonance frequency |
net internal box volume
net box internal volume | |
air volume with same acoustic compliance as the speaker suspension | |
constant |
free air reference efficiency
free air reference efficiency | |
speaker resonance frequency | |
air volume with same acoustic compliance as the speaker suspension | |
speaker electrical Q |
sound pressure level
sound pressure level | |
free air reference efficiency |
maximum air volume displaced by cone excursion
maximum air volume displaced by cone excursion | |
cone effective radiation area | |
cone peak linear displacement |
cone effective radiation area
cone effective radiation area | |
cone diameter plus one third of surround |
K 1 constant
K1 constant | |
air density | |
system resonance frequency | |
maximum air volume displaced by cone excursion | |
sound speed in air |
K2 constant
K2 constant | |
K1 constant |
Amax constant
Amax constant |
maximum displacement limited linear power output
maximum displacement limited linear power output | |
K1 constant | |
Amax constant |
required electrical input to achieve Par
required electrical input to achieve Par | |
maximum displacement limited linear power output | |
free air reference efficiency |
peak sound pressure level
peak sound pressure level | |
maximum speaker power input |
Creating the perfect sound system, whether for a car audio setup or a home theater, starts with understanding the core principles behind speaker design. The sealed or closed subwoofer box is a central piece of this audio puzzle. With this guide derived from AJDesign's Subwoofer Box Design Calculator, we dive deep into the constant equation vital for optimizing your subwoofer's performance.
Subwoofers are specifically designed to reproduce low-frequency sounds, and the quality of these sounds is significantly influenced by the design of the subwoofer enclosure. A closed-sealed subwoofer box is a completely sealed environment that affects the speaker's back wave, contributing to its overall sound quality. The design of such boxes involves intricate calculations to ensure the right balance between box volume, speaker size, and the box's internal pressure.
The critical equation in designing a sealed subwoofer box revolves around finding the 'constant' directly influencing the speaker's performance. It is defined as:
α = (Qtc / Qts)² - 1
Here, Qtc is the speaker system's total quality factor at the box's resonant frequency (Fc), and Qts is the speaker's total quality factor at the speaker's resonant frequency (Fs).
Determine the Qts value of the speaker, which the manufacturer typically provides.
Choose a target Qtc value for your design. Common Qtc values range from 0.707 (for a flat response) to 1.3 (for more bass).
Apply these values to the equation to solve for the constant, guiding the other design parameters of your sealed subwoofer box.
Suppose you have a subwoofer with a Qts of 0.55, and you desire a Qtc of 0.707 for a flat response across the bass frequencies. Plugging these values into our formula provides:
α = (0.707 / 0.55)² - 1
Resulting in a constant value that dictates the required volume and dimensions of the sealed box for optimal performance.
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By Jimmy Raymond
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