Discussion
An amplifier's output rises from \( 10 \ \mathrm{W} \) to \( 100 \ \mathrm{W} \). That is a rise of
Answer: C
Applying the power convention:
\[ 10 \log_{10}\left(\frac{100}{10}\right) = 10 \ \mathrm{dB} \]
giving 10 dB. Twenty decibels would follow from the amplitude convention, which does not apply to powers. A tenfold increase in power is ten decibels and a tenfold increase in voltage is twenty, and holding that pair in mind settles which factor to use without having to recall the reason each time.
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