What is the formula to calculate RMS value from the peak value?

The formula to calculate the Root Mean Square (RMS) value from the peak value is correctly represented as RMS = 0.707 x Peak. This relationship emerges from the properties of sinusoidal waveforms, particularly in AC (alternating current) systems.

In a sinusoidal waveform, the peak value represents the maximum voltage or current level, while the RMS value represents a measure of the effective value that corresponds to the same amount of work done or energy consumed. The RMS value is derived mathematically from the peak value by taking the root mean square of the function, which ultimately leads to the factor of approximately 0.707. This factor indicates that the RMS value is about 70.7% of the peak value for sinusoidal signals.

Utilizing this formula, engineers and technicians can accurately convert peak values to RMS values, which are essential for analyzing and designing electrical circuits and systems. Understanding this calculation is fundamental in applications involving power calculations and load analysis in the electrical field.