# Resistance grows with temperature

1. Dec 27, 2014

### Karol

1. The problem statement, all variables and given/known data
The copper windings in an electric motor have a resistance of 54[Ω] at 200.
Later the resistance was 60[Ω], what is the temperature

2. Relevant equations
$$R_1=R_0(1+\alpha t_1)$$
α=0.00393[1/0]

3. The attempt at a solution
At 00C R0 is: $54=R_0(1+0.00393\cdot 20)\rightarrow R_0=50.06$
$60=50.06(1+0.00393\cdot t_2)\rightarrow t_2=50.5^0$
It should be t2=2860C

2. Dec 27, 2014

### Bystander

3. Dec 27, 2014

### Karol

If i am right and the book is wrong.

4. Dec 27, 2014

### Bystander

Your math looks good. Books have been known to be in error.

5. Dec 27, 2014

### Karol

Thanks and now i saw i read the wrong answer in the book, but thanks anyway for the effort