What is the RMS voltage when converting from a peak voltage of 500V?

To find the RMS (Root Mean Square) voltage from a peak voltage, the relationship used is that the RMS voltage is equal to the peak voltage divided by the square root of 2. This relationship is expressed mathematically as:

[ V_{RMS} = \frac{V_{peak}}{\sqrt{2}} ]

In this case, if the peak voltage is 500V, the calculation would be:

[ V_{RMS} = \frac{500V}{\sqrt{2}} \approx \frac{500V}{1.414} \approx 353.50V ]

Thus, the calculated RMS voltage when converting from a peak voltage of 500V is approximately 353.50V. This is why this answer is correct. The RMS voltage is crucial in AC circuits as it provides a meaningful value for measuring the effective voltage that would produce the same power in a resistive load as a DC voltage of the same value.