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What is the resistance of a1500W(120V) hair dryer? What is the current in the hair dryer when it is used?

Short Answer

Expert verified

R=9.6ΩandI=12.5A.

Step by step solution

01

 Step 1: Given information

We have given that 1500W(120V).

We need to find the resistance of a hair dryer and the current in the hair dryer when it is used.

02

Simplify

When the current flows through a resistor, the energy is dissipated, the rate of the dissipated energy is the power. This rate where the energy is transferred from the current to the resistor is

PR=IVR...(1)

From Ohm's law VR=IR, we can get an alternative formula

PR=IVR=I2R=(VR)2R...(2)

The formula (VR)2/Rshows the largest dissipated power if we have several resistors. Solve equation (2) for Rwhich is our target to be in the form

R=(VR)2PR...(3)

Now, putting the values ofPRand VRinto equation (3) to get Rby

R=(VR)2PR=(120V)21500W=9.6Ω

03

Simplify

For the current, solving equation (1) to be in the form

I=PRVR...(4)

Now we plug the values for PRand VRinto equation (4) to get Iby

I=PRVR=1500W120VI=12.5A

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