Enter the magnetic permeability, box dimensions, mode numbers, and dielectric constant into the calculator to determine the box resonance cutoff frequency.
Box Resonance Formula
The following equation is used to calculate the Box Resonance.
f = C / (2*sqrt(e*u)) * sqrt ( m/a^2 + n/b^2 + p/h^2)
- Where f is the cutoff frequency
- C is a constant (3×10^11 mm/s)
- e is the dielectric constant
- u is the magnetic permeability
- a,b,h are the length, width, and height respectively
- m,n,p are the mode numbers for each respective dimension
What is a Box Resonance?
Definition:
A box resonance is a device used to increase the sonority of a tone.
How to Calculate Box Resonance?
Example Problem:
The following example outlines the steps and information needed to calculate Box Resonance.
First, determine the dielectric constant and magnetic permeability. In this example, this are given as 1 and 2 respectively.
Next, determine the length, width, and height of the box. These are measured to be 3,4, and 2 respectively.
Next, determine the mode numbers at this dimensions. These are found to be 5,6, and 10 respectively.
Finally, calculate the box resonance using the formula above:
f = C / (2*sqrt(e*u)) * sqrt ( m/a^2 + n/b^2 + p/h^2)
f = (3*10^11)/ (2*sqrt(1*2)) * sqrt ( (5/3)^2 + (6/4)^2 + (10/2)^2)
f = 581216396878
