How Do You Convert dB to W/m^2 for a Test?

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To convert decibels (dB) to watts per square meter (W/m^2), use the formula I = I_0 * 10^(B/10), where I_0 is the reference intensity of 1.0 x 10^-12 W/m^2. Rearranging the equation allows for the conversion in both directions. The logarithmic nature of the equation indicates that a change in dB corresponds to a multiplicative change in intensity. Understanding this relationship is essential for accurately performing conversions for tests and practical applications. Mastering these calculations is crucial for success in related assessments.
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Homework Statement


I have a test coming up and I need to be able to convert dB to W/m^2 and vise versa. Could someone please explain to me how to do this?


Homework Equations


B=(10dB) log_10(I/I_0)
I_0 = 1.0*10^-12W/m^2

The Attempt at a Solution


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Solve for I --- B/(10dB) = log_10(I/I_0)
10^(B/10dB) = (I/I_0)
I = (I_0)10^(B/10dB)
 

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