Resistance grows with temperature

In summary, the relationship between resistance and temperature is that as temperature increases, resistance also increases. This is due to the increase in kinetic energy of atoms which impedes the flow of electrons. This can affect the performance and efficiency of electronic devices and there is a limit to how much resistance can increase, known as the Curie temperature. In some materials, resistance can decrease with temperature, but this is not common.
  • #1
Karol
1,380
22

Homework Statement


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

Homework Equations


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

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
 
Physics news on Phys.org
  • #2
And your question is what?
 
  • #3
If i am right and the book is wrong.
 
  • #4
Your math looks good. Books have been known to be in error.
 
  • #5
Thanks and now i saw i read the wrong answer in the book, but thanks anyway for the effort
 

1. What is the relationship between resistance and temperature?

The relationship between resistance and temperature is that as temperature increases, resistance also increases. This is known as the positive temperature coefficient of resistance.

2. Why does resistance increase with temperature?

The increase in resistance with temperature is due to the increase in kinetic energy of the atoms in a material. This increased energy causes the atoms to vibrate more and impede the flow of electrons, resulting in higher resistance.

3. What is the significance of resistance increasing with temperature?

The significance of resistance increasing with temperature is that it can affect the performance and efficiency of electronic devices. It is important to consider this relationship when designing circuits and selecting materials for different temperature environments.

4. Is there a limit to how much resistance can increase with temperature?

Yes, there is a limit to how much resistance can increase with temperature. This is known as the Curie temperature, which is the point at which a material's resistance becomes so high that it becomes an insulator.

5. Can resistance decrease with temperature?

Yes, in some materials, resistance can decrease as temperature increases. This is known as the negative temperature coefficient of resistance, and it is due to changes in the atomic structure of the material. However, this is not a common phenomenon and the majority of materials exhibit an increase in resistance with temperature.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Special and General Relativity
Replies
11
Views
202
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
819
  • Introductory Physics Homework Help
Replies
2
Views
747
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
Back
Top