Discussion
An inductor having a resistance of 10 ohms and inductance of 0.05 henry is connected to an AC source. What is the power consumed by the inductor if the current drawn by the inductor is 13 A?
Answer: B
The power consumed by an inductor with some resistance is only the power lost in its resistance, since the pure inductance stores energy in its field and returns it to the source.
\[ P = I^{2} R = 13^{2} \times 10 \]
\[ P = 169 \times 10 = 1690\ \mathrm{W} \]
So the power consumed is 1690 W, option (B). The value 1960 W comes from swapping the digits, and the kilowatt values are a thousand times too large.
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