If i take the inverse of a value, what happens to its uncertainty?

Question

For example, if I have C +/- deltC and then i do 1/C. What happens to delta C?

Thank you

Answer 1

It is a little more complicated.

First calculate relative uncertainity.

If A=N+-a
then relative uncertainity = a/N

and your report this as relative uncertainity.

Now if you are looking to avoid propagating error,

If Result= A/B or AxB

relativeuncertainity/result=sqrt(a^2/A^2 + b^2/B^2 )