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What is the difference in the use of the dB and dBm ?
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The decibel (dB) is a unit that is used to express the relative loudness of two sounds. One application of decibels is the relative value of the output power of an amplifier with respect to the input power. since power levels can vary greatly in magnitude, the relative value $D$ of power level $P_{1}$ with respect to power level $P_{2}$ is given (in units of $\mathrm{dB}$ ) in terms of the logarithm of their ratio as follows: $$D=10 \log \frac{P_{1}}{P_{2}}$$ where the values of $P_{1}$ and $P_{2}$ are expressed in the same units, such as watts $(\mathrm{W}) .$ If $P_{2}=75 \mathrm{W},$ find the value of $P_{1}$ at which $D=0.7$
Exponential and Logarithmic Functions
Exponential and Logarithmic Equations
What is the difference between intensity and decibel level?
Use the following information for Exercises $74-76$ The decibel ( $d B$ ) 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. since power levels can vary greatly in magnitude, the relative value $D$ of power level $P_{1}$ with respect to power level $P_{2}$ is given (in units of $d B$ ) in terms of the logarithm of their ratio, as follows. $$D=10 \log \frac{P_{1}}{P_{2}}$$ The values $P_{1}$ and $P_{2}$ are expressed in the same units, such as watts $(W)$. Use the properties of logarithms to show that the relative value of one power level with respect to another, expressed in units of $\mathrm{dB},$ is actually a difference of two quantities.
Properties of Logarithms
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