The sinusoidal voltage from an AC generator at any instant is represented by the equation V=311sin314t To determine the root mean square (rms) value of the voltage, we use the formula for the rms value of a sinusoidal voltage: Vrms=
V0
√2
=
311
√2
=220V Here, V0=311V is the peak voltage. To find the frequency, we use the relationship between angular frequency (ω) and frequency (f) : ω=2πf Given ω=314, we set: 314=2πf Solving for f, we find: f=
314
2π
≈50Hz Thus, the rms value of the voltage is 220 V , and the frequency is 50 Hz .