- #1
Saladsamurai
- 3,020
- 7
Sound Level and Intensity (trouble setting up equation)
A certain sound source is increased by 30 dB. By what multiple is its intensity increased?
This is what I have set up so far, but I do not think it is correct..
[tex]\beta_1=10\log\frac{I_1}{I_0}[/tex] and [tex]\beta_2=40\log\frac{I_1}{I_0}[/tex]
So,
[tex]\frac{\beta_1}{\beta_2}=\frac{10\log\frac{I_1}{I_0}}{40\log\frac{I_1}{I_0}}[/tex]
and from there I am jammed...we have been using product and sum logs so far...but this expression does not fit the bill..so I believe I have made a conceptual error in setting up the equation.
Do you see my error?
Casey
A certain sound source is increased by 30 dB. By what multiple is its intensity increased?
This is what I have set up so far, but I do not think it is correct..
[tex]\beta_1=10\log\frac{I_1}{I_0}[/tex] and [tex]\beta_2=40\log\frac{I_1}{I_0}[/tex]
So,
[tex]\frac{\beta_1}{\beta_2}=\frac{10\log\frac{I_1}{I_0}}{40\log\frac{I_1}{I_0}}[/tex]
and from there I am jammed...we have been using product and sum logs so far...but this expression does not fit the bill..so I believe I have made a conceptual error in setting up the equation.
Do you see my error?
Casey
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