Why did they choose to make AC change in time based on a sin wave and not any other math function like quadratic or logarithmic
In: Physics
That’s the only thing that oscillates, i.e. goes back and forth between two values.
Literally everything that does that can be modelled with sine waves. Some are complicated, really complicated, but at the end of the day it’s all sine waves (even cosine waves are just sine waves that showed up to work late).
So it’s less that they chose to make it a sin wave and more they chose to make it oscillate.
You also mention “[why] not any other math function like quadratic or logarithmic”
A quadratic function grows faster and faster with time and logarithmic equations grow slower and slower with time. but both of them Keep growing forever eventually reaching infinity.
I assume it’s clear why voltage can’t increase over time and go to infinity.
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