Harmonic Oscillator: LC Resonator Analysis

This lecture covers the analysis of an LC resonator as a harmonic oscillator, focusing on the time-dependent voltages and currents in the circuit. The instructor explains the transient behavior that leads to oscillations in charge and current on the capacitor, as well as the solution of the harmonic oscillator equation. The lecture also delves into the oscillation between electrical and magnetic energy, discussing the behavior of the electric and magnetic fields in the system. Various scenarios and solutions related to the harmonic oscillator equation are presented, along with practical examples and calculations based on specific circuit parameters.