How Does Offset Impact RMS Voltage Calculation?

[Ardec]

Homework Statement

The rms voltage for a sine wave with zero offset is given by Vrms= 1/(√2)Vpeak. Calculate the rms voltage for a sine wave with a peak-to-peak voltage of 1V.

Homework Equations

Vpeak-to-peak=2Vpeak

The Attempt at a Solution

This may be a really easy question with an answer of (√2)/4 but i wasn't sure if you could use the equation Vpeak-to-peak=2Vpeak with an offset in the sine wave.

 

[gneill]

Homework Statement

The rms voltage for a sine wave with zero offset is given by Vrms= 1/(√2)Vpeak. Calculate the rms voltage for a sine wave with a peak-to-peak voltage of 1V.

Homework Equations

Vpeak-to-peak=2Vpeak

The Attempt at a Solution

This may be a really easy question with an answer of (√2)/4 but i wasn't sure if you could use the equation Vpeak-to-peak=2Vpeak with an offset in the sine wave.

Hi Ardec, Welcome to Physics Forums.

Your answer will depend upon what you mean by an "offset". Usually an offset means that there is a DC component added to the signal, so for example a sinewave riding on a DC value. This has the effect of shifting the sinewave up or down from the 0V level. But taking the problem as stated you simply have a sinewave with a peak voltage of 1/2 V, no offset. So can you explain what you mean by offset?

 

[Ardec]

Hi Ardec, Welcome to Physics Forums.

Your answer will depend upon what you mean by an "offset". Usually an offset means that there is a DC component added to the signal, so for example a sinewave riding on a DC value. This has the effect of shifting the sinewave up or down from the 0V level. But taking the problem as stated you simply have a sinewave with a peak voltage of 1/2 V, no offset. So can you explain what you mean by offset?

I miss read the question and correct myself the second after i posted this, there is no offset, and i didn't see a way to delete the thread. Thanks anyways for the answer