Question

An alternating current is supplied to an electronic component with a rating that it be used only for voltages below 12 V. What is the highest Vrms that can be supplied to this component while staying below the voltage limit

Answer 1

Answer:

$V_{rms}=6\sqrt2\ V$

Explanation:

Given that,

The maximum voltage of an alternating current, $V_{max}=12\ V$

We need to find the highest Vrms that can be supplied to this component while staying below the voltage limit.

Let rms voltage in terms of peak voltage is given by :

$V_{rms}=\dfrac{V}{\sqrt2}\\\\=\dfrac{12}{\sqrt2}\\\\=\dfrac{12}{\sqrt2}\times \dfrac{\sqrt2}{\sqrt2}\\\\=\dfrac{12\sqrt2}{2}\\\\=6\sqrt2\ V$

Hence, the required rms voltage is $6\sqrt2\ V$.