Homework regarding getting the differential equations of the RLC circuits

In summary, the conversation is about a circuit modeling homework assignment. The speaker is struggling with finding the differential equations for the state variables in order to input them into matlab-simulink. They mention using KVL and KCL equations and expecting a 2nd order ODE due to two energy storage devices.
  • #1
jvcuevas1992
1
0

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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  • #2
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.
 

FAQ: Homework regarding getting the differential equations of the RLC circuits

What are RLC circuits and why are they important in science?

RLC circuits are circuits that contain a resistor (R), inductor (L), and capacitor (C) connected in series or parallel. They are important in science because they are commonly used in electronic devices and electrical systems, and understanding their behavior is crucial for designing and analyzing these systems.

How do I derive the differential equations for an RLC circuit?

The differential equations for an RLC circuit can be derived using Kirchhoff's laws and the equations that describe the behavior of each component (e.g. Ohm's law for resistors, Faraday's law for inductors, and the capacitor equation for capacitors). By applying these laws and equations to the circuit, a system of differential equations can be obtained.

What is the significance of the differential equations in RLC circuits?

The differential equations for RLC circuits describe the relationship between the voltage and current in the circuit over time. By solving these equations, we can determine the behavior of the circuit and predict how it will respond to different inputs or changes in the circuit parameters.

How can I solve the differential equations for an RLC circuit?

The differential equations for RLC circuits can be solved using various methods such as analytical techniques (e.g. Laplace transform) or numerical methods (e.g. Runge-Kutta methods). The method used will depend on the complexity of the circuit and the desired level of accuracy.

Can the differential equations for an RLC circuit be simplified?

Yes, the differential equations for RLC circuits can be simplified by using certain assumptions, such as assuming ideal components or a steady state condition. These simplifications can make the equations easier to solve or analyze, but may also introduce some inaccuracies in the results.

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