Can an ODE accurately model an RLC circuit with additional sources?

In summary, the discussion revolved around the equations for two physical models: the series circuit and the parallel circuit, represented by two images. The question was raised about the effect of adding a source of current to these circuits and how it would change the ODE. It was noted that these circuits do not function well since the conditions required for each source are contradictory. Additionally, there was a discussion about the challenges of enforcing a voltage drop across a circuit with an ideal current source in series and enforcing a current source in parallel with an ideal voltage source. It was concluded that in these scenarios, the voltage source or the current source would act as the only effective source, depending on the circuit.
  • #1
Jhenrique
685
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The equation for this physical model is:
http://upload.wikimedia.org/wikipedia/commons/f/fb/RLC_series_circuit_v1.svg

8a89f7d3622fc859d3bc910a8691b9e9.png


And for this is:
http://upload.wikimedia.org/wikipedia/commons/d/d0/RLC_parallel_circuit_v1.svg

8383fa6312eb5e0b7befb1b4172ae749.png



But and if now I add a source of current in those schemes, the ODE changes?

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  • #2
These circuits do not really work. Each of the sources are going to require conditions that are at odds to the other.

Plus, how do you enforce a voltage drop across a circuit with an ideal current source in series? How do you enforce a current source in parallel to an ideal voltage source?

In the former, at best the voltage source does not contribute. The current source acts like the only source. In the latter, the voltage source is the only effective source.
 
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FAQ: Can an ODE accurately model an RLC circuit with additional sources?

What is an RLC circuit?

An RLC circuit is an electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C). These components are connected in series or parallel and are used to control the flow of current in an electrical circuit.

What is an ordinary differential equation (ODE)?

An ordinary differential equation (ODE) is a mathematical equation that describes the relationship between a function and its derivatives. In the context of an RLC circuit, an ODE is used to model the behavior of the circuit over time.

How do sources affect an RLC circuit?

Sources, such as voltage or current sources, are external inputs that can affect the behavior of an RLC circuit. They can change the values of the components in the circuit and impact the overall behavior of the circuit.

What are the applications of ODEs in RLC circuits?

ODEs are used to analyze and predict the behavior of RLC circuits in various applications, such as in electrical engineering, physics, and telecommunications. They can help in designing and optimizing circuits for specific purposes.

What is the solution to an ODE for an RLC circuit?

The solution to an ODE for an RLC circuit is a mathematical expression that describes the behavior of the circuit over time. This solution can be obtained through various methods, such as analytical methods, numerical methods, or computer simulations.

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