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The instantaneous values of alternating current and voltages in a circuit are given as
i = 1 sin(100πt) amper √2 e = 1 sin(100πt/3) volt √2
The average power in Watts consumed in the circuit is :
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1 4 -
√3 4
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1 2 -
1 8
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Correct Option: D
The average power in the circuit where cos φ = power factory
< P > = Vrms × Irms cos φ
| φ = π/3 = phase difference = | = 60 | |
| 3 |
| Vrms = | 1/√2 | = | 1 | Volt |
| √2 | 2 |
| Irms = | 1/√2 | = | 1 | Volt |
| √2 | 2 |
| cos φ = | π | = | 1 | |
| 3 | 2 |
| < p > = | 1 | x | 1 | x | 1 | = | 1 | W |
| 2 | 2 | 2 | 8 |
