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

`V_(rms)=6\sqrt2\ V`

Step-by-step 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)=(V)/(\sqrt2)\\\\=(12)/(\sqrt2)\\\\=(12)/(\sqrt2)* (\sqrt2)/(\sqrt2)\\\\=(12\sqrt2)/(2)\\\\=6\sqrt2\ V`

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