The electric mains in our homes is 220 V, 50 Hz. What will be the instantaneous voltage?

220 Sin 100\(\pi \)t 220 Sin 50\(\pi \)t 310 Sin 100\(\pi \)t 310 Sin 50\(\pi \)t

310 Sin 100\(\pi \)t

Vrms = 220 v Vpeak = 220 x 1.414 V = 311 V Vinst. = Vpeak Sin 2\(\pi \nu \)t         = 311 Sin 100\(\pi \)t