Fundamentals Of SHS Practice Test

Which expression represents the equation for dBIL?

10log(Wo/Wr) 20log(Po/Pr) log(Wr/Wo) 10log(Wo/Pr)

Correct Answer:

10log(Wo/Wr)

Explanation:

Decibels turn a ratio into a logarithmic value, and for power or intensity quantities the conversion uses a factor of 10. dBIL measures intensity level by comparing the measured intensity to a reference intensity, so it uses the ratio of the two power-like quantities. Since Wo represents the measured power (or intensity) and Wr the reference, the correct expression is 10 log(Wo/Wr). Using 20 log would apply to amplitudes like voltage or field strength, not power; flipping the ratio would invert the sign, and mixing in a different reference (Pr) would not match the standard definition of dBIL.

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