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Refer to Exercise 14. Assume that l = 10.0 cm ± 0.5% and d
Chapter 3, Problem 26E(choose chapter or problem)
Refer to Exercise 14. Assume that \(l=10.0 \mathrm{\ cm} \pm0.5 \%\) and \(d=10.4\mathrm{\ cm}\pm0.5\%\).
a. Estimate \(R\), and find the relative uncertainty in the estimate.Does the relative uncertainty depend on \(k\)?
b. Assume that either \(l\) or \(d\) can be remeasured with relative uncertainty 0.2%. Which should be remeasured to provide the greater improvement in the relative uncertainty of the resistance?
Equation Transcription:
Text Transcription:
l = 10 cm pm 0.5%
d = 10.4 cm pm 0.5%
R
k
l
d
Questions & Answers
QUESTION:
Refer to Exercise 14. Assume that \(l=10.0 \mathrm{\ cm} \pm0.5 \%\) and \(d=10.4\mathrm{\ cm}\pm0.5\%\).
a. Estimate \(R\), and find the relative uncertainty in the estimate.Does the relative uncertainty depend on \(k\)?
b. Assume that either \(l\) or \(d\) can be remeasured with relative uncertainty 0.2%. Which should be remeasured to provide the greater improvement in the relative uncertainty of the resistance?
Equation Transcription:
Text Transcription:
l = 10 cm pm 0.5%
d = 10.4 cm pm 0.5%
R
k
l
d
ANSWER:Solution
Step 1 of 5
Here we have to find the uncertainty of the resistance
Given resistance R=
The length is
From this =10,
The diameter is
From this =10.4,