# Amplitude/Pressure

Measured in dB Decibels

The softest sound we as humans can hear is about 20 micro pascals (20µPa or 0 dB re 20µPa ) the loudest sound we as humans can tolerate is about 200 Pa(120 dB re20µPa) this is a 10,000,000:1 ratio. This is why Bel labs decided to use a different scale to represent the numbers. They used the deciBel or 1/10 of a Bel.

decibels as a power ratio The Bel was defined as the logarithm of a power ratio and was named after Alexander Graham Bell. The deciBel is 1/10th of a Bel. Since the range of human hearing is so large a logarithmic scale was implemented.

Sound Pressure and common sound sources

 140 dB SPL .45 APC Colt pistol (25 ft.) 130 dB SPL 50 HP Siren (100 ft.) 120 dB SPL Threshold of pain 110 dB SPL Typical rock concert 90-100 dB SPL Platform of subway station as train arrives. Loud classical music 80 dB SPL Person Shouting 60 dB SPL Average conversation (5 ft) 40 - 50 dB SPL Average suburban home at night 30 dB SPL Very quiet whisper 20 dB SPL Extremely quiet Recording Studio 0 dB SPL Threshold of hearing. Anechoic Chamber http://www.bell-labs.com/org/1133/Research/Acoustics/AnechoicChamber.html

### Decibels

Decibels are based on a logarithmic scale.

dB SPL/voltage/current

dB = 10 * log (P1^2 + P2^2) = dB = 20 * log (P1 + P2)

1dB small change in power

6dB doubling of power

20 dB roughly twice as loud ten times the voltage

 Voltage, current or SPL dB 1 0.00 1.5 3.52 2 6.02 2.5 7.96 3 9.54 4 12.04 5 13.98 6 15.56 7 16.90 9 18.06 10 19.08 20 20 30 29.54 40 32.04 50 33.98 100 40 1000 60 5000 73.97 10000 80

here are some other good explanations

Here is a good dB adding calculator

http://www.mcsquared.com/dbframe.htm this site can also do some other neat o thangs...