High School

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Two lamps, one rated at 100 watts at 220 volts and the other at 60 watts at 220 volts, are connected in parallel to an electric train supply. What current is drawn from the line if the supply voltage is 220 volts?

Answer :

Final answer:

To calculate the current drawn by two lamps connected in parallel to a 220-volt supply, you determine the current for each lamp by dividing their power rating by the voltage and then sum the currents. The total current drawn from the line is 0.728 amperes.

Explanation:

The student's question pertains to calculating the current drawn from a 220-volt electric supply when two lamps, one rated at 100 watts and the other at 60 watts, are connected in parallel. To find the total current drawn from the supply, you first calculate the current for each lamp using the formula I = P/V, where I is the current, P is the power, and V is the voltage. Then, you add the currents together since the lamps are connected in parallel.

For the 100-watt lamp: I100 = P100 / V = 100W / 220V = 0.455A
For the 60-watt lamp: I60 = P60 / V = 60W / 220V = 0.273A

Thus, the total current drawn from the line is: Itotal = I100 + I60 = 0.455A + 0.273A = 0.728A.

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