Middle-school physics: Today we're going to learn what happens when a resistor is wired to a battery.

Grad-school physics: Today we're going to learn what happens when a resistor is wired to a battery. You're not expected to understand this.
Arnold Sommerfeld voice "circular conductor is already beyond elementary treatment. Even in the limiting case [...] involves an elliptic integral" #electronics

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@niconiconi

I realized how large a success of engineering/standardization/design patterns it is that lumped circuit model is usable for typical circuits only after I played with water-based fluidics (where I would consistently make choices that caused my devices to deviate greatly from models with similar assumptions).

@robryk@qoto.org This mental model was found useful even in early VLSI design. Mead & Conway's book has a section about how to imagine a chip layout as a water bucket.

@niconiconi
Which mental model? Lumped components, or water flow?

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