Find the resistance at 50 degrees C given resistance at 0 C

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Homework Help Overview

The problem involves calculating the resistance of a bobbin at 50 degrees Celsius given its resistance at 0 degrees Celsius and a thermal constant. The original resistance is stated as 3.35 ohms, and the thermal constant is 0.0037.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the formula R1=R0[1+alpha(t-t0)] to find the resistance at a higher temperature. There is uncertainty regarding the rounding of the final answer and whether intermediate calculations at other temperatures, such as 20 degrees Celsius, should be performed.

Discussion Status

Some participants confirm the calculations provided by the original poster, while others express confusion over the discrepancy between their results and the answer in the textbook. The discussion is ongoing, with participants exploring the implications of rounding and the accuracy of their calculations.

Contextual Notes

There is a noted difference between the calculated resistance and the value provided in the textbook, leading to questions about rounding and the correctness of the formula application.

prishila
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Homework Statement


The resistance of a bobbinin 0 grades celsius is 3.35 ohm. What is its resistance in 50 grades celsius? thermal constant=0.0037

Homework Equations


R1=R0[1+alpha(t-t0)]

The Attempt at a Solution


Using this formula
R1=3.35[1+0.0037(50-0)]=3.35*1.185=3.96975, but the answer in my book is 4.06 ohm. Should I find the resistance in 20 grade celsius and then at 50 grades celsius?
 
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prishila said:

Homework Statement


The resistance of a bobbinin 0 grades celsius is 3.35 ohm. What is its resistance in 50 grades celsius? thermal constant=0.0037

Homework Equations


R1=R0[1+alpha(t-t0)]

The Attempt at a Solution


Using this formula
R1=3.35[1+0.0037(50-0)]=3.35*1.185=3.96975, but the answer in my book is 4.0 ohm. Should I find the resistance in 20 grade celsius and then at 50 grades celsius?
Your answer looks correct. If you round your answer to 2 significant figures, what answer do you get?
 
berkeman said:
Your answer looks correct. If you round your answer to 2 significant figures, what answer do you get?
Sorry I corrected it, the answer in my book is 4.06 ohm
 
prishila said:
Sorry I corrected it, the answer in my book is 4.06 ohm
Weird. I get the same answer as you do...
 

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