Can a Lagrangian be written for a simple RC or RL circuit?

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SUMMARY

A Lagrangian can indeed be formulated for simple RC and RL circuits by utilizing the charge q(t) as the unknown function. The standard Lagrangian equation, L = kinetic - potential energy, is adapted to incorporate the electrical characteristics of these circuits. The discussion references a specific resource that provides further insights into the Lagrangian formulation for RCL circuits, which can enhance understanding of circuit dynamics.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Basic knowledge of electrical circuits, specifically RC and RL circuits
  • Familiarity with charge and potential energy concepts
  • Ability to interpret mathematical formulations in physics
NEXT STEPS
  • Study the Lagrangian formulation for electrical circuits in detail
  • Explore the provided resource on RCL circuits for deeper insights
  • Learn about the application of Lagrangian mechanics in other physical systems
  • Investigate the relationship between circuit elements and energy conservation
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Students of physics, electrical engineers, and researchers interested in the application of Lagrangian mechanics to circuit analysis.

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Hello,
is it possible to write a Lagrangian (L) for a simple RC (or RL) circuit?

Normally L = kinetic - potential energy, but how would you write
this for an RC circuit?

thanks!
 
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You'd use the charge q(t) at some point in the circuit, as the unknown function in the Lagrangian fomulation. This turned up after searching for "rcl circuit lagrangian" on google:

http://www.phys.ttu.edu/~huang24/Teaching/Phys5306/CH2C.pdf"
 
Last edited by a moderator:
Thanks torquil, I didn't find this on my searches. I'll study it
and post back.

regards
 

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