I'm calculating S
- S = (A - B)/A
- A = 778 ± 30 (value ± percent error)
- B = 388 ± 12 (value ± percent error)
I want to report the error in S as S ± error.
I have checked several online resources. I found many equations of how the error of propagation is derived but I couldn't find a specific equation that help me estimate the error in S based on the errors of A and B?
I'll highly appreciate any suggestion what is the equation I should use to estimate the error in S based on its two components A and B?
UPDATE In this webpage about propagation of errors. https://www.lhup.edu/~dsimanek/scenario/errorman/propagat.htm
In 3.5 Examples
Example no (2) below is similar to my case but not the same. First, my question is about 2 variables only A and B. In addition, there is subtraction in the nominator in my case not summation. Yet, they have not estimated the correlation between the three parameters G , H and Z.
A quantity Q is calculated from the law:
Q = (G+H)/Z,
and the data is:
G = 20 ± 0.5
H = 16 ± 0.5
z = 106 ± 1.0