Comment by jve

Oh you put this nicely.

> How does electricity know which path has the least resistance? It doesn't, it starts flowing down all paths equally at a significant fraction of the speed of light, then quickly settles in a steady state described by Ohm's law.

> because all of science and engineering are approximations with limited applicability

Something I heard but haven't dig into, because my use case (DIY, home) doesn't care. In some other applications approximation at this level may not work and more detailed understanding may be needed :)

And yeah, some theory and telling of things others discovered for sure needs to be done. That is just the entry point for digging. And understanding how something was derived is just a tool for me to more easily remember/use the knowledge.