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Bo102010 comments on Mathematical simplicity bias and exponential functions - Less Wrong
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A discharging capacitor is a pretty good fit for exponential decay. (At least, until it's very very close to being completely discharged.)
This is consistent with my experience...
I've always been skeptical of very simple models to describe large behaviors, but in my first EE labs classes I was astounded at how well a very simple superposition of functions described empirical measurements.