Solving equation with T2 (Final Temperature)

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Discussion Overview

The discussion revolves around finding the equation for "Final Temperature" in relation to the Temperature Coefficient of Resistance. Participants are exploring the application of this concept to a specific problem involving resistance changes at different temperatures.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant asks for the formula to calculate the final temperature given the initial resistance, final resistance, and temperature coefficient of resistance.
  • Another participant provides the formula for final resistance but is informed that it does not address the request for final temperature.
  • A subsequent reply presents a formula for final temperature, expressed as (1/a)(Rf/Ri -1) + Ti = Tf, where Rf is final resistance, Ri is initial resistance, a is the temperature coefficient, and Ti is initial temperature.
  • Participants express gratitude for the assistance provided in the discussion.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the formula for final temperature initially, but a formula is eventually proposed that some participants acknowledge.

Contextual Notes

There are potential limitations regarding the assumptions made about the temperature coefficient and the specific conditions under which the resistance changes are observed.

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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