Sound Pressure Level and Sample Sums

Sound Pressure Level Formula :

Sound pressure level denoted LP is equal to the 20 log10  and multiply the root square sound pressure  Prms(Pa)  in pa divided by reference sound pressure in P ref(pa) in pa.

LP=20 log10 ( Prms(Pa) / P ref(pa) )

Where,

LP→ denoted in dB

Prms → root mean square sound pressure in pa,

P ref →reference sound pressure in pa(20 μ pa)

μ → permeability in Wb/A.m

Sample Sums :

Sum 1 :

Calculate the sound pressure level if the rms pressure value is given as 50 μ pa

Solution :

Given,

Prms=50 μ pa

P ref=20 μ pa

The sound pressure level formula is given by

LP=20 log10 ( Prms / P ref )

LP=20 log10(50/20)

LP =7.95 dB

Sum 2:

Calculate the sound pressure level if the rms pressure value is given as 90 μ pa

Solution :

Given,

Prms=80 μ pa

P ref=20 μ pa

The sound pressure level formula is given by

LP=20 log10 ( Prms / P ref )

LP=20 log10(80/20)

LP = 1.2041dB

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