Electrical Engineering ⇒ Topic : Root Mean Square (R.M.S.) Value of Alternating Current

Sunita
 
R.M.S. Value of Sinusoidal Current The equation of the alternating current varying sinusoidally is given by ; i_{m} = I_{m} sin θ Consider an elementary strip of thickness dθ in first halfcycle of the squared current wave shown dotted in Fig. (a). Let i^{2} be the midordinate of this strip. Area of strip = i^{2}dθ Area of halfcycle of the squared wave
figure (a)
Because the current is squared, power is always positive.Since the value of sin^{2}ωt varies between 0 and 1, its average value is 1/2 [See Fig. (b)].
figure (b)  
 
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