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A bulb rated at 220 V, 100 W is connected in series with another bulb rated at 220 V, 60 W. If the voltage across the combination is 220 V, what is the power consumed by the 100 W bulb?

Answer :

Final answer:

When two bulbs rated at the same voltage are connected in series and the voltage across the combination matches their rated voltage, each bulb will consume its rated power. In this case, the 100-watt bulb will thus consume 100 watts of power.

Explanation:

The power consumption of a bulb is related to the voltage applied across it and its resistance, given by the equation P = V²/R. When two bulbs are connected in series, the total voltage is distributed among them, although not necessarily equally. The exact distribution depends on the resistance of the bulbs. Since we know that the total voltage across the combination is 220V, the same as the rated voltage for both bulbs, and the bulbs are in series, they will both operate as intended (with their rated power).

This means that a 100-watt bulb connected in series with a 60-watt bulb, when supplied with a total of 220V, will consume 100 watts of power and the 60-watt bulb will consume 60 watts of power.

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