MATLAB-Simulation-Based Analysis of Free RLC Oscillations
DOI:
https://doi.org/10.62051/hdthzd63Keywords:
LC oscillation; RLC model; damping characteristics.Abstract
Targeting the LC oscillation commonly taught in high school, this study models a resistive RLC circuit using university-level circuit theory and ODE tools. We compare time responses and energy dissipation under under-, critical-, and over-damping, and visualize charge, current, and total energy via MATLAB. The work offers a quantitative, reproducible framework to bridge high-school and university instruction and to tune experimental parameters, while clarifying often-confused issues (e.g., trends of the Q factor). Innovations: (1) a classroom-oriented simulation pipeline with ready-to-use plots; (2) a unified, dimensionless and energy-based formulation covering all three damping regimes; (3) practical guidance on selecting R, L, and C to achieve target behaviors.
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