Calculations based on decibel

Decibel

The decibel (symbol: dB) is a unit of measurement used to express the ratio of one value of a physical property to another on a logarithmic scale.The intensity of a sound wave is the rate at which it transports energy per unit area. This is equivalent to average power per unit area.

The formula used to calculate intensity of sound is given as follows

\[Sound\; intensity \; in\: \; decible = (10 decibles) logarithm \: of\left (\frac{sound\; intensity}{reference\: intensity} \right ) \]

\[\beta =\left ( 10 dB \right )log\frac{I}{I_{0}} \]

\[\beta \] = sound intensity, in decibels (dB)

I = sound intensity  \[\left (W/m^3 \right ) \]

I0 = reference sound intensity \[ \left (W/m^3 \right ) \]

Let B be the intensity of sound,

I0 = y

l=x;

Posted on by