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

AI Thread Summary
The resistance of a bobbin at 0 degrees Celsius is 3.35 ohms, and the goal is to find its resistance at 50 degrees Celsius using the thermal constant of 0.0037. The formula applied is R1 = R0[1 + alpha(t - t0)], which yields a calculated resistance of approximately 3.97 ohms. However, the book states the answer is 4.06 ohms, leading to confusion regarding the discrepancy. After discussion, it is noted that rounding to two significant figures may clarify the difference, but both calculations consistently yield similar results.
prishila
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Homework Statement


The resistance of a bobbinin 0 grades celcius is 3.35 ohm. What is its resistance in 50 grades celcius? 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 celcius and then at 50 grades celcius?
 
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prishila said:

Homework Statement


The resistance of a bobbinin 0 grades celcius is 3.35 ohm. What is its resistance in 50 grades celcius? 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 celcius and then at 50 grades celcius?
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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