Homework Help: Hamiltonian in an LC circuit

1. Dec 2, 2017

yuvalidan

1. The problem statement, all variables and given/known data
Hi i got a problem in lc circuit, I need to find the hamiltonian to this circuit , I think that I did well but I am not sure, the problem and my attempt in the following file.

2. Relevant equations

3. The attempt at a solution

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2. Dec 2, 2017

NFuller

The Hamiltonian is simply
$$H=T+U$$
You don't need to find the Langrangian first.