High School

Two lamps, one rated 100 watts at 220 volts and the other at 60 watts at 220 volts, are connected in parallel to _____.

Answer :

Final answer:

In a parallel connection, two lamps with different wattages will each receive the full supply voltage, operating at their respective power ratings. Each lamp's current draw is determined by its resistance which is related to its power and the voltage. They operate independently, with their brightness reflecting their individual power ratings.

Explanation:

When two lamps are rated at different wattages and are connected in parallel to the same voltage, as in this case with 100 watts at 220 volts and 60 watts at 220 volts, each lamp will draw current according to its power rating. In a parallel circuit, each lamp has the full supply voltage across it, and the current through each lamp is determined by its resistance, which can be derived from its power rating (using P = V2 / R where P is power, V is voltage, and R is resistance). The power rating indicates how much power the lamp is designed to use when operating at its rated voltage.

The 100-watt lamp will have a resistance of R = V2 / P, which is 2202 / 100, and the 60-watt lamp will have a resistance of 2202 / 60. Therefore, the brightness of each lamp is determined by its power rating, and when connected in parallel, both lamps will shine at their respective brightness levels without affecting each other.

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