Homework regarding getting the differential equations of the RLC circuits

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SUMMARY

The discussion focuses on deriving the differential equations for state variables in RLC circuits, specifically for homework assignment #22. The user seeks assistance in formulating these equations to input into MATLAB Simulink. The solution involves applying Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) to establish the necessary equations, leading to the expectation of a second-order ordinary differential equation (ODE) due to the presence of two energy storage devices in the circuit.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL)
  • Knowledge of ordinary differential equations (ODEs)
  • Experience with MATLAB Simulink for circuit simulation
NEXT STEPS
  • Study the derivation of second-order ordinary differential equations in electrical circuits
  • Learn how to implement RLC circuit models in MATLAB Simulink
  • Explore advanced techniques for solving differential equations in circuit analysis
  • Review examples of state-space representation for RLC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in modeling and simulating RLC circuits using MATLAB Simulink.

jvcuevas1992
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Homework Statement


here is the circuit >>> http://www.4shared.com/photo/F3ewfm_3/22_online.html
the whole question is here >>> http://www.4shared.com/document/Qwxgzq78/Circuits_for_Modeling.html
whats assigned to me is #22.

anyways, what we need to get here is the differential equations for the state variables because were going to input the equations in matlab-simulink eh. and I am having a hard time getting the differential equations of the circuits

Homework Equations





The Attempt at a Solution

 
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jvcuevas1992 said:

Homework Statement


here is the circuit >>> http://www.4shared.com/photo/F3ewfm_3/22_online.html
the whole question is here >>> http://www.4shared.com/document/Qwxgzq78/Circuits_for_Modeling.html
whats assigned to me is #22.

anyways, what we need to get here is the differential equations for the state variables because were going to input the equations in matlab-simulink eh. and I am having a hard time getting the differential equations of the circuits

Homework Equations





The Attempt at a Solution


Starting writing equations from KVL's and KCL's.

You have two energy storage devices so you should expect a 2nd order ODE.
 

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