An intensity level change of 1dB corresponds to what percentage change in intensity?
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1db intensity level change corresponds to change in intensity of 12.2%
Explanation:
Given : = 1 dB
where = intensity pressure level in decibels
To find : %Δp where p = intensity level
Formulae :
=
%Δp = x 100
where
p = new intensity level
= old intensity level
Solution :
Step-1: Substitute given values in formula = => 1 = 20x
Step-2 : Rearrange values of equation from Step-1 : = 1/20 = 0.05
Step-3 : Take antilog for the equation of Step-2 : = antilog (0.05) = 1.122
Step-4 : Subtract 1 from both sides of equation in Step-3 :
- 1 = 1.122 - 1 = 0.122
Step-5 : Simplify and multiply by 100 on both sides of equation in Step-4 : x 100 = 0.122 x 100 = 12.2
Step-6 : Apply formula %Δp = x 100 in Step-6 to get : %Δp = 12.2%
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