Find the conservation of electrical energy in the LCR

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SUMMARY

The discussion focuses on the conservation of electrical energy in an LCR circuit, specifically analyzing the equations LdQ²/dt + Q/C = 0 and LdQ²/dt + RdQ/dt + Q/C = 0. Participants highlight the need for a circuit diagram to clarify which LCR configuration is being referenced. Additionally, there is a request for verification of the derivative notation used in the equations, emphasizing the importance of accurate mathematical representation in solving the problem.

PREREQUISITES
  • Understanding of LCR circuit components (Inductor, Capacitor, Resistor)
  • Familiarity with differential equations in electrical engineering
  • Knowledge of energy conservation principles in electrical circuits
  • Proficiency in calculus, particularly derivatives and their notation
NEXT STEPS
  • Review the principles of energy conservation in LCR circuits
  • Study the derivation and application of LCR circuit equations
  • Learn about circuit diagrams and their importance in electrical analysis
  • Explore advanced topics in differential equations relevant to electrical engineering
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and anyone interested in the mathematical foundations of LCR circuits.

aruwin
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Homework Statement





Find the conservation of electrical energy in the LCR


Homework Equations


LdQ^2/dt + Q/C = 0

LdQ^2/dt + RdQ/dt + Q/C = 0


The Attempt at a Solution



LdQ^2/dt + Q/C = RdQ/dt
 
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Which LCR? there's no diagram!

Also, derivate notation involves the same power on top as the bottom, i.e d^2Q/dt^2, so can you double check your listed relevant equations.
 

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