Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Parallel LCs circuit Lagrangian

  1. Nov 12, 2011 #1
    1. The problem statement, all variables and given/known data
    Hi, i have a quick question to see if i'm on the right track (I totally suck at electrical circuits since i never took a formal course so it might seem elementary to you.. anyway):

    Three LC systems in parallel with different L and C values, nothing else. closed circuit.
    First step in the problem is to formulate the Lagrangian and that's where i need a check, i'll be fine with the rest.

    3. The attempt at a solution
    Is it correct to write for the system:
    L =T+V=[itex]\frac{1}{2}[/itex][itex]\sum L_{i}\dot{q}^{2}_{i}+q^{2}_{i}/C_{i}[/itex]
    With the constraint:
    It seems too simple to me and i think i should be dealing with cross-terms, so a hint would be greatly appreciated.. thanks!
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted