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Electricity & Magnetism
Electricity & Magnetism

RMS Voltage/Current

Vrms=Vpeak2V_{rms} = \frac{V_{peak}}{\sqrt{2}}

RMS (root mean square) value of sinusoidal AC voltage or current.

Variables

V_rms
RMS voltage
Root mean square voltage
V
V_peak
Peak voltage
Maximum voltage
V

Derivation

V_rms = √(⟨V²⟩) = V_peak/√2 for sinusoidal waveform.

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Common questions

What is the RMS Voltage/Current formula?

RMS Voltage/Current is written Vᵣₘₛ = frac{Vₚₑₐₖ}{√(2)}. RMS (root mean square) value of sinusoidal AC voltage or current. It belongs to Electricity & Magnetism, under AC Circuits.

What are the units in Vᵣₘₛ = frac{Vₚₑₐₖ}{√(2)}?

In SI units, V_rms is rms voltage, measured in kg·m²/(A·s³); V_peak is peak voltage, measured in kg·m²/(A·s³).

How is the RMS Voltage/Current formula derived?

V_rms = √(⟨V²⟩) = V_peak/√2 for sinusoidal waveform. The result is Vᵣₘₛ = frac{Vₚₑₐₖ}{√(2)}.