Solving equation with T2 (Final Temperature)

AI Thread Summary
The discussion focuses on calculating the final temperature (T2) using the temperature coefficient of resistance. The initial resistance at 0°C is 55Ω, which increases to 61Ω, and the temperature coefficient is 0.0018/°C. The correct formula to find the final temperature is T2 = (1/a)(Rf/Ri - 1) + Ti. Participants clarify that the initial responses provided were for final resistance rather than final temperature. The conversation concludes with gratitude for the assistance in solving the equation.
Bogumil
Hello there,

I want to know, what is the equation formula for "Final Temperature" with Temperature Coefficient of Resistance? Let I show you the question as below:

The resistance of a component at 0°C is 55Ω and increases to 61Ω when subjected to a rise in temperature. Calculate the change in temperature if the temperature coefficient of resistance of the component is 0.0018/°C.

Need to answer to T2.

Can you show me the formula?

Thank you for your assistance.

Regards,
Bogumil
 
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Using Rfinal=Rinitial (1+a(Tfinal - Tinitial)) where R=resistance T=temperature a=temperature coefficient
 
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awpbash said:
Using Rfinal=Rinitial (1+a(Tfinal - Tinitial)) where R=resistance T=temperature a=temperature coefficient

Thank you for your response but your answer is for "Final Resistance" but I am looking "Final Temperaturion".
 
Bogumil said:
Thank you for your response but your answer is for "Final Resistance" but I am looking "Final Temperaturion".
(1/a)(Rf/Ri -1) + Ti = Tf
 
awpbash said:
(1/a)(Rf/Ri -1) + Ti = Tf

At last, thank you very much.

Regards,
 
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