Temperature increase due to increase of resistance

AI Thread Summary
To increase the resistance of a copper wire by 14%, the temperature must be raised from 20°C by a calculated amount. The temperature coefficient of copper is 0.004, leading to a delta T of 35°C based on the formula R = Ro(1 + αt). However, the initial calculation was incorrect because it did not account for the resistance change relative to the temperature coefficient properly. Understanding the equation R = Ro(1 + αt) is crucial for accurate calculations. This clarification highlights the importance of correctly applying the temperature coefficient in resistance calculations.
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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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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:
Yeh I have seen the equation somewhere in the textbook thanks for help
 
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