Question

A North American tourist takes his 25.0-W, 120-V AC razor to Europe, finds a special adapter, and plugs it into 240 V AC. Assuming constant resistance, what power does the razor consume as it is ruined?

a) 100 W
b) 50 W
c) 200 W
d) 25 W

Answer 1

When the North American razor is plugged into 240 V AC in Europe, it consumes 100 W of power, assuming its resistance remains unchanged.

Step-by-step explanation:

The North American tourist's razor is originally rated at 25.0-W and is designed for 120-V AC power. When plugged into 240 V AC in Europe, we must determine the power consumed assuming constant resistance using the power formula:

Power (P) = Voltage (V) squared / Resistance (R)

First, find the resistance of the razor when used normally:

R = V² / P = (120 V)² / 25.0 W = 14400 / 25 = 576 ohms

Now, calculate the power consumed when the voltage is 240 V:

P = V² / R = (240 V)² / 576 ohms = 57600 / 576 = 100 W

Therefore, the power consumed by the razor when plugged into 240 V AC is 100 W.