🔋college physics i – introduction review

Rms voltage

Written by the Fiveable Content Team • Last updated September 2025
Written by the Fiveable Content Team • Last updated September 2025

Definition

RMS Voltage (Root Mean Square Voltage) is the effective value of an alternating current (AC) voltage, which represents the equivalent direct current (DC) voltage that would deliver the same power to a load. It is calculated as $V_{rms} = V_{peak} / \sqrt{2}$ for sinusoidal waveforms.

5 Must Know Facts For Your Next Test

  1. RMS voltage is used to calculate power in AC circuits because it gives the equivalent DC value.
  2. For a sinusoidal AC waveform, RMS voltage is $V_{peak} / \sqrt{2}$.
  3. RMS values are crucial in comparing AC and DC systems because they standardize varying waveforms.
  4. $V_{rms}$ can be derived from integrating the square of the instantaneous voltage over one period.
  5. $V_{rms}$ provides a meaningful measure of an AC signal’s ability to do work or transfer energy.

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