Discussion
In an AC circuit, the active power and reactive power are equal. Find the power factor of the circuit.
Answer: B
The power factor is 0.707. When the active power P and the reactive power Q are equal, the phase angle between voltage and current has tan φ = Q/P = 1, so φ = 45°.
\[ \cos\phi = \cos 45^\circ = \frac{1}{\sqrt{2}} = 0.707 \]
A power factor of 0.5 would belong to an angle of 60° (Q greater than P), 0.6 and 0.8 are the values for a 3-4-5 triangle and would have unequal P and Q. So the second option is correct.
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