Temperature increase due to increase of resistance

In summary, to increase the resistance of a copper wire by 14%, the temperature would need to be raised by 35 degrees Celsius. This can be calculated using the temperature coefficient of copper and the equation for calculating resistance at a certain temperature. The equation is R = Ro(1 + αt), where R is the resistance at a certain temperature, Ro is the resistance at 0 degrees Celsius, and α is the temperature coefficient of resistance.
  • #1
pokie_panda
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Homework Statement


To what value would you have to raise the temperature of a copper wire (originally at 20 deg/C ) to increase its resistance by 14 % ?

The Attempt at a Solution


temp. coeffic of copper = 0.004
delta T = 0.14/0.004

delta T = 35 deg/C

why is this incorrect.
 
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  • #2
You need to realize that the temp coefficient (0.004/C) means that the resistance of copper Changes by 0.004 x resistance at 0C for each degree change in temperature
So R = Ro(1 + αt) where R = resistance at tC and α = temp coeff of resistance
Have you met this equation?
correction made
 
Last edited:
  • #3
Yeh I have seen the equation somewhere in the textbook thanks for help
 

1. What is the relationship between temperature and resistance?

As the temperature of a material increases, the resistance also increases. This is due to the increased movement of atoms and electrons, leading to more collisions and hindering the flow of electricity.

2. Why does an increase in resistance cause a temperature increase?

When resistance increases, more energy is dissipated as heat. This is because the electrons encounter more obstacles and collisions as they move through the material, converting their kinetic energy into heat.

3. How does temperature affect the performance of electronic devices?

High temperatures can negatively impact the performance of electronic devices by increasing the resistance of their components. This can lead to decreased efficiency and potentially even damage to the device.

4. Can temperature increases due to resistance be controlled?

Temperature increases due to resistance can be minimized by using materials with lower resistivity and designing circuits that can dissipate heat efficiently. However, it is not possible to completely eliminate temperature increases in electronic devices.

5. What is the maximum safe operating temperature for electronic devices?

The maximum safe operating temperature for electronic devices varies depending on the specific components and materials used. However, in general, it is recommended to keep temperatures below 85°C to avoid potential damage or malfunctions.

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