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The current in an electric hairdryer is 15A.
a) True
b) False

1 Answer

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Final answer:

Using the formula I = P/V, the toaster draws 15 A, the electric frying pan draws 11.67 A, and the lamp draws 0.625 A. The total current is 27.295 A, which will blow the 15-A fuse. The claim about a hairdryer's current cannot be validated as true or false without specific power ratings.

Step-by-step explanation:

Calculation of Current Drawn by Each Device

To calculate the current drawn by each device, we use the formula I = P/V, where I is the current, P is the power, and V is the voltage. For a 120-V circuit:

The current drawn by the 1800-W toaster is I = 1800 W / 120 V = 15 A.

The current drawn by the 1400-W electric frying pan is I = 1400 W / 120 V = 11.67 A.

The current drawn by the 75-W lamp is I = 75 W / 120 V = 0.625 A.

Will the Combination Blow the 15-A Fuse?

The total current drawn by all devices is the sum of the individual currents: 15 A + 11.67 A + 0.625 A = 27.295 A. Since this exceeds the 15-A fuse rating, the fuse will blow.

Analysis for an Electric Hairdryer Claim

The claim of a current in an electric hairdryer being 15A without context cannot be validated as true or false since hairdryers can have different power ratings. However, if you have a specific hairdryer with a known rated power, you can calculate the current it draws using the same formula (I = P/V) by dividing the hairdryer's power by the voltage of the circuit it is connected to.

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