In an AC circuit, the instantaneous values of emf and current are $e = 200 sin 314 t$ volt and $I = sin (314 t + \frac{π}{3})$ amp. The average power consumed in watt is.

200

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100

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50

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25

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Solution

The correct option is C $50$
$V_{r m s} = \frac{200}{\sqrt{2}}, I_{r m s} = \frac{1}{\sqrt{2}}$

$∴ P = V_{r m s} I_{r m s} cos ϕ$

$= \frac{200}{\sqrt{2}} \frac{1}{\sqrt{2}} cos \frac{π}{3} = 50 W$ .

Suggest Corrections

Similar questions

i = s i n (314 t + \frac{π}{3})

E = 200 s i n 314 t

I = s i n (314 t + π / 3)

i = s i n (314 t + \frac{π}{3})

E = 200 s i n (314 t) V a n d I = s i n (314 t + \frac{π}{3}) A

W

i = \frac{1}{\sqrt{2}} sin (100 π t)

e = \frac{1}{\sqrt{2}} sin (100 π t + π / 3)

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