LC Circuit Equation Derivations

[@lieutenantwaffles50]

Super useful video! I needed this help for my E&M Final Exam.

[@naderahmed78]

Thanks so much for this video

[@owaisahmedkhan8293]

Is this thing same for AC circuits?

[@xto3912]

This IS an AC circuit!

[@owaisahmedkhan8293]

​@@xto3912He didn't taught AC circuits in this course. Also, capacitors and inductors won't work well under DC voltage supply, so it must be an AC voltage supply but he didn't mention it.

[@carultch]

​@@owaisahmedkhan8293 This derivation assumes that the capacitor starts with an initial state of charge, and then is free to discharge thru only the inductor. This is the free response of the LC circuit, with no external source of energy after setting up initial conditions. In practice, this would mean charging the capacitor with DC, and then separately connecting it to the inductor. Capacitors and inductors can work in both AC and DC circuits, it's just that under DC, they exhibit the extreme of their low frequency behavior in the steady state. Capacitors act as gaps, and inductors act as shorts. Opposite at extreme high frequencies.

[@owaisahmedkhan8293]

@@carultch Thanks. I now understood what's going on in this derivation. Great explanation.