Discussion
In an AC circuit, the apparent power is 500 VA and active power is 400W. Find the reactive power.
Answer: C
The reactive power is 300 VAR. The apparent, active and reactive powers form a right-angled triangle in which the apparent power is the hypotenuse.
\[ Q = \sqrt{S^2 - P^2} \]
\[ = \sqrt{500^2 - 400^2} = 300\ \text{VAR} \]
The value 100 VAR is the difference of the apparent and active powers (500 - 400), which is not how they combine, and 200 VAR and 400 VAR are not the third side of the 3-4-5 triangle. So the third option is the answer.
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