The Lagrangian Solution of an LC Circuit

jeudi 28 août 2014

One way to solve the simple LC circuit with 1 inductor and 1 capacitor is to use the Lagrangian formulation of mechanics and consider charge [itex] q [/itex] as the generalized coordinate. When writing down your Lagrangian, the energy of the inductor [itex] \frac{1}{2}L(\frac{dq}{dt})^2 [/itex] is treated as the kinetic energy, and the energy of the capacitor [itex] \frac{q^2}{2C} [/itex] is treated as the potential. My first instinct is to treat the inductor energy as also potential energy. Why is it considered kinetic?





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