Acoustics The decibel (dB) is a unit that is used to express the relative loudness of two sounds. One application of this is the relative value of the output power of an amplifier with respect to the input power. Because power levels can vary greatly in magnitude, the relative value D of power level P₁ with respect to power level P, is given (in units of dB) in terms of the logarithm of their ratio as follows: D = 10 log P₁ where the values of P₁ and P₂ are expressed in the same units, such as watts (W). If P₂ = 75 W, find the value of P₁ at which D = 0.7.

Acoustics The decibel (dB) is a unit that is used to express the relative loudness of two sounds. One application of this is the relative value of the output power of an amplifier with respect to the input power. Because power levels can vary greatly in magnitude, the relative value D of power level P₁ with respect to power level P, is given (in units of dB) in terms of the logarithm of their ratio as follows: D = 10 log P₁ where the values of P₁ and P₂ are expressed in the same units, such as watts (W). If P₂ = 75 W, find the value of P₁ at which D = 0.7.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 73E

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