Two lamps are rated at 100 W and 25 W, respectively. When the lamps are plugged in two separate, identical electric outlets, the electric current through the 100−W lamp is 4 times greater than that through the 25−W lamp. the same as that through the 25−W lamp, since they are plugged in identical outlets. 2 times greater than that through the 25-Wlamp. 4 times smaller than that through the 25−W lamp.

Question

11-10-2023
Physics

High School

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Two lamps are rated at 100 W and 25 W, respectively. When the lamps are plugged in two separate, identical electric outlets, the electric current through the 100−W lamp is 4 times greater than that through the 25−W lamp. the same as that through the 25−W lamp, since they are plugged in identical outlets. 2 times greater than that through the 25-Wlamp. 4 times smaller than that through the 25−W lamp.

Answer :

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Final answer:

Given the same voltage supply, the current in a circuit is directly proportional to power. For a 100W lamp and a 25W lamp, the 100W lamp has 4 times the current of the 25W lamp.

Explanation:

The question you've asked about the two lamps rated at 100W and 25W relates to the concept of electric power. Electrical power is the rate at which electrical energy is converted to another form of energy. It's given by the formula P=IV, where P is power, I is current and V is voltage.

In this scenario, if we assume the electrical outlets provide the same voltage, the current in a circuit is directly proportional to the power due to the electric power formula. So, if a 100W lamp is used, compared to a 25W lamp, the current flowing through it is 4 times greater. This is because 100W is 4 times larger than 25W. So, in reality, the 100W lamp pulls 4 times the current as the 25W lamp does.

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