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

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SUMMARY

The resistance of a bobbin at 0 degrees Celsius is 3.35 ohms. Using the formula R1=R0[1+alpha(t-t0)], where alpha is the thermal constant of 0.0037, the calculated resistance at 50 degrees Celsius is 3.96975 ohms. Rounding this value to two significant figures yields approximately 4.0 ohms, which differs from the book's stated answer of 4.06 ohms. The discrepancy suggests a potential rounding or calculation error in the reference material.

PREREQUISITES
  • Understanding of electrical resistance and temperature coefficients
  • Familiarity with the formula R1=R0[1+alpha(t-t0)]
  • Basic knowledge of significant figures in numerical calculations
  • Concept of thermal constants in materials
NEXT STEPS
  • Review the calculation of resistance using temperature coefficients
  • Learn about the impact of temperature on electrical resistance in materials
  • Explore rounding rules and significant figures in scientific calculations
  • Investigate common discrepancies in textbook answers and practical calculations
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Students studying electrical engineering, physics enthusiasts, and anyone interested in the effects of temperature on resistance in conductive materials.

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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