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arierreF
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Homework Statement
Book: Introduction to error analysis, Taylor
In page 66, quick check 3.8
If you measure x = 100[itex]\pm[/itex] 6, what should you report for [itex]\sqrt{x}[/itex]with its uncertainty.
Homework Equations
Rule for uncertainty as power:
[itex]\frac{∂q}{|q|}[/itex] = |n|[itex]\frac{∂x}{|x|}[/itex]where [itex]q = x^{n}[/itex]
3. Attempt
So our function is q = [itex]x^{\frac{1}{2}}[/itex]
then σq = 0,3. (as in solution)The problem that is killing me is if i decide to use the general rule for error propagation, the result is different.
Using that rule:
|σq| = |[itex]\frac{∂q}{|x|}| Δx = | \frac{1}{2\sqrt{x}} |Δx [/itex]
That gives:
|σq| ≈ 0,3After all, the problem is correct. It was just bad calculations.
I do not to know how to delete topics. :/
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