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Power in an AC Circuit

In an AC circ...

Question

In an AC circuit the applied potential difference and the current flowing are given by:
V = 200 sin 100 t volt,
I = 5 sin $[100 t + \frac{π}{2}] a m p$
The average power consumed in the circuit is

1000 W

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40 W

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20 W

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zero

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Solution

The correct option is D zero
$P_{a v e} = V_{r m s} I_{r m s} c o s Φ$
$Φ = \frac{π}{2} (o r) 90^{\circ}$
Cos 90 = 0

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Similar questions

[100 t + \frac{π}{2}] a m p

V

I

V = 5 cos ω t v o l t, I = 2 sin ω t A m p

i = s i n (314 t + \frac{π}{3})

i = 5 s i n (100 t - \frac{π}{2})

V = 200 s i n (100) v o l t .

V

I

V = 100 sin (100 t) V

I = 100 sin (100 t + \frac{π}{3}) m A

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