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A 100 W, 200 V bulb is connected to a 160V power supply. The power consumption would be

1. 125 W
2. 100 W
3. 80 W
4. 64 W

Correct answer: 64 W

Solution

The power consumed by a bulb is given by P = V²/R. The resistance of the bulb can be calculated using R = V²/P for the rated values, giving R = (200)²/100 = 400 Ω. When connected to a 160 V supply, the power consumed is P = (160)²/400 = 64 W.

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