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An alternating current is given by \( i=14.14 \sin 377 t \) find 1. RMS value of current. 2. Frequency. 3 . Instantaneous value of current when \( t-3 mS \). 4. Time taken by current to reach 10 Amp for third time after passing through zero and increasing positively. |
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Answer» Given i = 14.14 sin 377t (i) RMS value of current irms = \(\frac{I_m}{\sqrt2}\) irms = \(\frac{14.14}{\sqrt2}\) irms = 10 ampere (ii) Frequency \(\omega\) = 377 2πf = 377 f = 377/2π f = 377/6.28 f = 60.03 Hz (iii) Instantaneous current I = 14.14 sin 377 t I = 14.14 sin (377x 3 x 10-3) I = 14.14 x sin (1.131) I = 12.78 amp |
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