The rms value of an AC voltage is defined by where T is the period of the waveform (a) A voltage is given by v(t) Vcos(t) Show that vrms V 2 and is independent of (The relationship between the period T and the radian frequency is T 2 ) (b) A voltage is given by v(t) 2 5cos(350t) 3V Determine vrms M...

Part a Script file syms w t T V vtVcoswt vt2vt2 vrmssqrtintvt2t0TT vrmsANSsubsvrms ...

The rms value of an AC voltage is defined by where T is the period of the

Question:

The rms value of an AC voltage is defined by

where T is the period of the waveform.
(a) A voltage is given by v(t) = Vcos(Ï‰t). Show that vrms = V/ˆš2 and is independent of Ï‰. (The relationship between the period T and the radian frequency Ï‰ is T = 2Ï€/Ï‰.)
(b) A voltage is given by v(t) = 2.5cos(350t) + 3V. Determine vrms.