Resistance Propagation of Error

In summary, the conversation discusses a recent Resistance in Circuits lab where the coded resistances were 33, 100, and 220 and the measured resistances were 33.3, 101.6, and 219. The lab included three setups: series, parallel, and combination, with measured ohms of 351.8, 22.5, and 101.5 respectively. The conversation then moves on to discussing the comparison between calculated and measured resistance, as well as the uncertainty and discrepancy. There are different equations and methods that can be used, such as using the master rule for uncertainty or standard deviations.
  • #1
mb85
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We recently did a Resistance in Circuits lab.

My coded resistances were
33, 100 and 220.
The measured resistance was
33.3, 101.6 and 219

So we did 3 setups. (Series, Parallel and Combination)

Series = 351.8 measured ohms
Parallel = 22.5 measured ohms
Combinations = 101.5 measured ohms

The links below are scanned images of my work.
http://img.photobucket.com/albums/v600/bozym618/seriesandparallel.jpg

http://img.photobucket.com/albums/v600/bozym618/combination.jpg



I am confused on what i am comparing.
I find the calculated Req with the uncertainty... so I am comparing that to the measured, but i am confused on what to do with the uncertainty.
I need to find the discrepancy and say if it is signi. or insigni.

For Parallel i found, 22.5 -22.3 = 0.2 and the error was 0.141
So its Sig. But the rest confused me.

I hope someone can help me understand.
thanks in advance.
 
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  • #2
anyone have any ideas?
 
  • #3
What equations did you use? There would be a couple ways to measure resistance, and a couple ways to find the error. If you used [tex]R = \frac{V}{i}[/tex] or any number of other equations for resistance then you would be able to find the uncertainty with the master rule for uncertainty, which is [tex]\pd q = \sqrt{(\frac{\partial q}{\partial x}\delta x)^2 +... + (\frac{\partial q}{\partial z}\delta z)^2[/tex] for whatever variables you have.

You could also use standard deviations for uncertainty, which would be my suggestion.
 
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FAQ: Resistance Propagation of Error

What is resistance propagation of error?

Resistance propagation of error is a method used to calculate the uncertainty of a measurement or calculation based on the uncertainties of the individual components or measurements that it is made up of.

How is resistance propagation of error calculated?

The calculation involves multiplying the uncertainties of each component by their respective partial derivatives and then adding all of these values together. The final result is the uncertainty of the overall measurement or calculation.

Why is resistance propagation of error important in scientific research?

It is important because it allows scientists to determine the accuracy and reliability of their measurements and calculations. By understanding the potential sources of error, they can improve their methods and increase the validity of their findings.

What are some common sources of error in resistance propagation?

Some common sources of error include measurement equipment limitations, human error, and environmental factors such as temperature and humidity. It is important to identify and account for these sources of error in order to minimize their impact on the final results.

Can resistance propagation of error be used in all scientific fields?

Yes, resistance propagation of error is a widely applicable method that can be used in various scientific disciplines such as physics, chemistry, and engineering. It can be used to calculate uncertainties in experimental data, simulations, and other types of calculations.

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