An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed $16 \mathrm {~V}$. What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?
A) $16 \sqrt { 2 } \mathrm {~V}$
B) $8 \mathrm {~V}$
C) $256 \mathrm {~V}$
D) $8 \sqrt { 2 } \mathrm {~V}$

Question

Quizplus · Accepted Answer

The highest rms voltage that can be supplied without exceeding the peak voltage limit of 16V is $8 \sqrt{2} \mathrm{V}$, because the peak voltage ($V_{peak}$) is related to the rms voltage ($V_{rms}$) by the equation $V_{peak} = V_{rms} \sqrt{2}$. Therefore, for a peak voltage of 16V, the rms voltage is $16V / \sqrt{2} = 8\sqrt{2}V$.

An Alternating Current Is Supplied to an Electronic Component with a Rating