How to Calculate Uncertainty for Electrical Fields?

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To calculate the uncertainty for the electric field at a distance of 2.09 ± 0.02 m from a charge of 1.82 ± 0.03 µC, one must determine the range of possible values based on the tolerances of the parameters. The mean value should be calculated using the nominal values, and then the largest and smallest possible electric field values should be established based on the given tolerances. Understanding how to combine errors is crucial for accurate calculations. Resources for error combination can be helpful for those unfamiliar with the process. Ultimately, the uncertainty reflects the limits of deviation from the calculated nominal value.
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Homework Statement


Find the electrical field a distance of 2.09 ± 0.02 m from a charge of 1.82 ± 0.03 µC.
What is the uncertainty?



2. The attempt at a solution
I was able to answer part one correctly. Very easy. However, I am not sure of how to find the uncertainty
 
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What are the possible range of values that you can calculate for the electric field given the tolerance of your parameters?
 
Do you know how to combine errors? If not, try this:

http://home.clara.net/rod.beavon/err_comb.htm
 
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Born2bwire said:
What are the possible range of values that you can calculate for the electric field given the tolerance of your parameters?

i don't understand what you mean
 
I don't know about ideasrule suggestion but if I wanted to find the error, then I would say that the mean value would be calculated off of the nominal values given. Then, given the tolerance on these nominal values, what is the largest and smallest possible electric field? This would be the limits of the deviation from your calculated nominal value.
 

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