AC vs DC — and the RMS That Links Them

A gold sine (AC) and a flat mist line (DC) share one scope. The DC line sits at the AC's RMS voltage, and two identical elements glow equally bright — proof that Vrms is the DC-equivalent voltage. Change the frequency and the wave speeds up, but the power never moves.

RMS voltage  Vrms = V0 ÷ sqrt(2)
120.2 V
v(t) now = 0.0 V
V peak
170 V
V peak-to-peak
340 V
Period T
20.0 ms
Reversals / s
100
I rms
1.20 A
Avg power
144 W
View
Peak voltage V0170 V
Frequency f50 Hz
Load resistance R100 Ω
Try it: slide Frequency up and down — the wave speeds up and the period shrinks, but I rms and average power do not budge.