An Alternate Approach to LC-Circuits
@inproceedings{Ganguly2009AnAA,
title={An Alternate Approach to LC-Circuits},
author={Soumya Ganguly and Sadashivanagar Bangalore},
year={2009}
}When an Inductor of self inductance L and a fully charged capacitor of capacitance C are connected in series, produces an alternating current at the circuit’s resonant frequency 1/ LC ω = . Here we will derive this result first using using Lagrangian methods identifying the charge as the generalized co-ordinate. Having done this we will give the Hamiltonian formulation of the same problem and extend our discussion to Quantum LC-circuit identifying , i.e. current times inductance as the… CONTINUE READING