In this video I go over another example on linear differential equations and this time expand further into the application to an electrical circuit from example 4. In that example, I assumed that the circuit was powered by a battery producing a constant voltage, but in this video I see what happens when instead we use a generator with an alternating current, modeled with a trigonometric function. The resulting solution shows that the current becomes positive and negative periodically. This differs to that when a battery is used, which resulted in the current approaching a limiting value. This is a very interesting video on some of the mathematics involved in electric circuits, so make sure to watch this video!
Download the notes in my video: https1drv.msbs!As32ynv0LoaIht0MglNbTl1HLrtReg
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I don't always model the current in an electric circuit but when I do I usually use an electric generator instead of a battery ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/linear-differential-equations-example-5-electric-circuit
I love it!
awesome! i hope you have a great day