Ayren purchased a 1000W (120V) hair dryer in the USA,

[Xaspire88]

Ayren purchased a 1000W (120V) hair dryer in the USA, and she took it to Europe where the standard voltage is 220V. Assuming that the hair dryer can operate safely at the higher voltage, can you actually use it if the outlet is rated for 15A, or will it draw too much current (How much current)?

I went about trying to solve this with P=IV , power=current x Voltage

1000W= I (220V)

I = 1000W/220V = 4.545 Amps,

this is less than the 15A that the outlet is rated for so it should be able to, but i guess i missed something since this is incorrect. Please help.

 

[learningphysics]

The power drawn isn't the same in Europe as in the USA.

Find the resistance of the dryer.

 

[Xaspire88]

Ok i see.

1000W= I x 120V

I= 1000/120 = 8 1/3 amps

V=IR R= V/I R= 120V/8.333Amps R=14.4 ohms

then in Europe

220V= I (14.4ohms)

I= 220V/14.4ohms I=15.2778amps

this is greater than the 15 amps the outlet is rated for so it would not work.

 

[learningphysics]

Yup. Looks right.