Last week, I went down a huge rabbit hole and tried to come up with a mathematical generalization of dealing with errors in circuits.
I am not a mathematician, but I tried to come up with a proof as rigorous as possible. However, other eyes are very much appreciated. I'd be happy about a boost and/or feedback.
And of course, I'd be glad if this was useful to anyone else :)
https://www.maxgenson.de/blog/demystifying-tolerances/
#electricalengineering #errorhandling #math #calculus #mathproblems #feedback #helpwanted

Demystifying Electrical Component Tolerances
Did you ever wonder how the tolerances of resistors influence a voltage divider? What happens if you put two components in parallel — does the effective tolerance increase or decrease? I had some very wrong assumptions about the answers to these two questions and am glad I looked deeper in to the topic. Some very suprising, yet satisfying and reassuring insights into error boundaries and propagation lie ahead. So buckle up and get ready for some math! (I enabled LaTeX \LaTeX LATEX on my blog for this, hihi)