LC^2 Oscillator circuit. Exploiting Mechanical-Electrical duality using Lagrangian's.

This video is using the Lagrangian method to solve an electronic LC-LC circuit like it is a mechanical system. Duality at its finest.

[@ntesla66]

So it's like a double pendulum? The first thought that comes to me is to set up a ratio between L1C1 and L2C2 so that the period at C2 is twice that of the the L1C1 node... walla! 2nd harmonic generation.

[@chasko9372]

Would this be faster than using phasors?

[@TheSageofScience]

The downside of using phasor's is that the transient behavior is lost, you're only looking at sinusoidal like behavior, meaning the behavior just after an impulse was injected into the system will not be captured. Using the Lagrangian as was done in the video does keep this behavior. In conclusion, when you're interested in non-transient behavior phasor's is usually faster.

[@chasko9372]

@@TheSageofScience thank you for this excellent explanation