AC Waveform Question: Deriving Vrms from Vpk - Fawzi

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SUMMARY

The discussion centers on the derivation of the RMS (Root Mean Square) voltage from the peak voltage (Vpk) for a true sine wave, specifically stating that Vrms = Vpk / √2. Fawzi seeks a detailed proof of this relationship. The conversation confirms that this formula is valid exclusively for sine waves, and resources are provided for further understanding of RMS calculations.

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Fawzi Da
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Hello everyone

I would like to ask a question that seems simple but can't find the (detailed) proof/ how its derived.
Simply we know that Vrms = Vpk /[Sqrt (2)]. But how is that derived?

Thank you in advance
Fawzi
 
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That is only correct for a true sine wave.
 

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