A North American tourist takes his 22.0–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?

R the same

i2 = 2 i1
so
i2^2 R = 4 i1^2R
4 * 22 = 88 Watts

To find the power consumed by the razor when it is ruined, we need to use the formula:

Power = (Voltage^2) / Resistance

Given that the razor operates at 120 V AC in North America and the voltage in Europe is 240 V AC, the voltage in Europe is double that of North America.

We are also given that the razor has a power rating of 22.0 W, which indicates that the power consumed is constant.

Now, since the voltage has doubled, we need to determine the new resistance in Europe to calculate the power consumed.

To calculate the new resistance, we can rearrange the power formula to solve for resistance:

Resistance = (Voltage^2) / Power

Substituting the values, we have:

Resistance = (240^2) / 22.0

Resistance = 57600 / 22.0

Resistance ≈ 2618.18 ohms

Now we can calculate the power consumed in Europe:

Power = (240^2) / 2618.18

Power ≈ 219.73 W

Therefore, the razor would consume approximately 219.73 W when it is ruined in Europe.