Intensity of sound wave when given sound intensity level.

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The discussion revolves around calculating the intensity of a sound wave given a sound intensity level of 34 dB. The correct formula used is I = Io x 10^(B/10 dB), where Io is 1.0x10^-12 W/m^2. The initial calculation yielded an intensity of 2.0x10^-9 W/m^2, but the poster was informed that this was incorrect due to a miscalculation in evaluating 10^3.4. The issue was resolved by correcting the calculation, leading to the right answer. Accurate computation is crucial in determining sound intensity levels.
Ericv_91
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Homework Statement



What is the intensity of sound wave with sound intensity level 34 dB?


Homework Equations



B = (10dB) log (I/Io) B = sound intensity level, I = intensity, Io= 1.0x10^-12 W/m^2



The Attempt at a Solution



I figured it would be simply a matter of rearranging the equation above to solve for I and entering all the values giving:

I = Io x 10^(B/10 dB)
I = (1.0x10^-12) x 10^(34/10)
I = 2.0x10^-9 W/m^2

However the assignment tells me that I am wrong. Am I missing something very very basic? Am I using the wrong equation all together? My textbook won't tell me, so I've turned to Physics Forums. :rolleyes:
 
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Recalculate 10^3.4.

ehild
 
My calculator decided to cut off a 5 after the 2. *sigh*. Thanks.
 

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