\[V_{RMS}=\frac{V_p}{\sqrt{2}}\]
Variables
VrmsRMS voltage (V)
Vppeak voltage (V)
Description
What is this formula?
This formula calculates the root mean square (RMS) voltage of a sinusoidal AC waveform from its peak voltage.
When to use it
Use it when converting peak AC voltage values into equivalent DC heating-effect values.
Example
Data:
Vp = 170 V
Formula:
Vrms = Vp/sqrt(2)
Substitution:
Vrms = 170/sqrt(2)
Result:
Vrms = 120 V
Applications
AC power systems, household electricity analysis, electronics, signal processing, power engineering, and instrumentation.