Discussion
A stage's gain is \( 40 \ \mathrm{dB} \). As a voltage ratio that is
Answer: A
Converting from decibels for a voltage ratio:
\[ A_{v} = 10^{40/20} = 100 \]
giving 100. Ten thousand would follow from dividing by ten rather than twenty, which is the power convention rather than the voltage one. Whether to divide by ten or twenty depends on whether the quantity is a power or an amplitude, and getting that wrong squares the answer.
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