Peak and RMS Values of Sinusoidal AC Voltages (VCE SSCE Physics): Flashcards

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Peak and RMS Values of Sinusoidal AC Voltages
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RMS acronym meaning

Root-mean-square

Peak value (VpV_p) definition

Maximum voltage reached during one AC cycle

Formula: VpV_p from VextrmsV_{ ext{rms}}

Vp=Vextrms×2V_p = V_{ ext{rms}} \times \sqrt{2}

Approximate value of 2\sqrt{2}

1.414

Peak voltage for 230 V AC (Australian mains)

325 V

Peak-to-peak voltage formula

Vp−p=2×VpV_{p-p} = 2 \times V_p

RMS current from peak current formula

Irms=Ip2I_{\text{rms}} = \frac{I_p}{\sqrt{2}}

Effective power formula (using RMS values)

Peffective=Vrms×IrmsP_{\text{effective}} = V_{\text{rms}} \times I_{\text{rms}}

Effective power using peak values

Peffective=Vp×Ip2P_{\text{effective}} = \frac{V_p \times I_p}{2}

Period of 50 Hz AC

0.02 s or 20 ms

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