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In an A.C. circuit the current is 2 A, the voltage is 220 V and the power is 44 W. The power factor is ______.

Asked in GSEB Board March 2018 · Power factor

• (1) 0.10
• (2) 0.09
• (3) 1.80
• (4) 0.18

Step-by-step solution

Why the other options are wrong

• (2) No single slip gives 0.09 from these values; it is the power factor for 40 W ((40)/(440) ≈ 0.09). With 44 W it is (44)/(440) = 0.10 exactly.
• (3) A power factor is cos φ, so it can never exceed 1. No slip with these numbers gives 1.80.
• (4) No single slip gives 0.18. It would need P = 0.18×440 = 79.2 W; the circuit takes 44 W.

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