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