Combining errors/ uncertaintiesWatch
I know how to do it in theory and I know the answer is 3.
Is it possible to do with rules
Z=x+y dz^2 = dx^2 + dy^2
Z=x^n y^m fz^2 = (n fx)^2 + (m fy)^2
Or do you *have to* go down the differentiation route. I know the method for differentiation but it gets a bit nasty.
How would you do it?
* fz is the fractional error in z
dz is the absolute error in z
In this case, the % errors are very small, so it is a good method.
R is 2%
w is 1% (10/1000)
C is 1% (0.05/5.00)
The absolute error in Z2 is equal to the absolute error in R2 plus the absolute error in 1/(wC)2
The % error in R2 is 2 x %error in R
Work out the absolute error in R2 from this % error
The % error in (1/wC)2 is 2 x (% error in w plus % error in C)
From that find the absolute error in (1/wC)2
Add those 2 absolute errors together as in step 1, to find the absolute error in Z2
Can you do the rest (absolute error in Z) yourself?