For sound waves, I0 is taken to be 10^(-12) W/m^2. Two signals whose levels differ by one decibel have a power ratio. A zero value on the decibel scale represents the weakest sound audible to humans and sound intensity increases in correspondence with numeric. It expresses the ratio of two values of a power or root-power quantity on a logarithmic scale. A sound 100 times more powerful than near total silence is 20 dB. The intensity of sound is measured in a unit called the decibel (dB), which describes the relative intensity of a sound based on a logarithmic scale containing values ranging from 0 to 194. This scale is a convenient tool because it can represent very large or small values in a manageable format. On the decibel scale, 0 dB is the smallest audible sound. The decibel scale is a logarithmic scale used to quantify the intensity of a sound or the power level of an electrical signal by comparing it to a given level on a logarithmic scale. This scale is called the decibel scale or dB scale. The decibel scale is a reflection of the logarithmic response of the human ear to changes in sound intensity: The logarithm to the base 10 used in this expression is just the power of 10 of the quantity in brackets according to the basic definition of the logarithm: Examples: Decibel calculation.

The general formula for the sound intensity level, in decibels, corresponding to intensity I is Î² = 10log(I/I0) dB, where I0 is a reference intensity. Therefore, a logarithmic scale is used to express sound levels meaningfully in more flexible numbers rather than a linear one. The number of decibels increases by 10 for a factor of 10 increase in intensity. Because the decibel scale is logarithmic, it changes by an additive constant when the intensity as measured in W/m^2 changes by a multiplicative factor. The decibel scale is a logarithmic scale for measuring the sound intensity level.

Decibel scale logarithmic