How do I solve for 't' in the platinum wire resistance problem?

AI Thread Summary
To solve for 't' in the platinum wire resistance problem, the equation r/r0 = αT + 1 can be utilized, where r and r0 represent the resistance values and α is the temperature coefficient. The user has determined the value of r/r0 but is struggling with the quadratic nature of the equation to isolate 't'. Clarification is needed on how to manipulate the equation further to find the temperature 'T'. The discussion highlights the challenge of solving quadratic equations in this context and seeks guidance on the correct approach. Understanding the relationship between resistance and temperature is crucial for solving this problem effectively.
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Homework Statement




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Homework Equations



\Delta R/ R0 = \alpha \Delta T
which goes down to : r-r0 /r0 = alpha (T-T0)
r/r0 = alpha T +1
3. The attempt at the solution

Hi there, I'm on a verge of mental breakdown. I have spent over 2 a4- sheets on figuring out how to get 't'.

I have found out the value r/ro... however the part to find 't' has been daunting... I am aware of the expression within the bracket being a quadratic equation,hence two solutions of 't'... but what becomes of the value of r/r0 ?

Thanks for your help in advance.
 
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Although I have sent my work to be marked but can anyone tell me how I should have proceeded with this question ? Thanks
 
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