Linear Algebra - Incidence Matrix of an RLC Ckt

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Discussion Overview

The discussion centers around finding the incidence matrix for an RLC circuit that includes resistors, inductors, and capacitors. Participants seek guidance on the methodology and examples, particularly in the context of linear algebra.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in finding documentation on constructing the incidence matrix for RLC circuits, noting familiarity with purely resistive networks.
  • Another participant suggests a specific example from a PDF link, but multiple participants report being unable to access the link.
  • One participant proposes using complex impedances for inductors and capacitors, indicating that the matrix will vary with frequency.
  • A participant questions whether the original poster is looking for mesh analysis or nodal analysis, providing links to Wikipedia for further reading.
  • Another participant asserts that the nature of the circuit elements should not affect the incidence matrix and references a textbook for an example of an RLC circuit's incidence matrix.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to finding the incidence matrix for RLC circuits. There are competing views regarding the relevance of circuit element types and the methods of analysis to be used.

Contextual Notes

Participants mention issues with accessing external resources, which may limit the availability of examples or documentation. There is also uncertainty regarding the applicability of different analysis methods (mesh vs. nodal) to the problem at hand.

YoshiMoshi
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<Moved from a homework forum. Template removed.>

I can't find any documentation on how to do this. I remember in linear algebra how to find the incidence matrix of an electrical network of purely resistors. Put how do I find it of a RLC circuit with resistors, inductors, and capacitors? I can't even find an example. Thanks for any help.
 
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I'm not able to open that link
 
YoshiMoshi said:
I'm not able to open that link
The link doesn't open here either. Looking for it in google gives the same link with the same result.

I think you can use complex impedances instead of the resistance. Inductor is jωL, capacitor is 1/jωC. Your matrix will depend on the frequency.
 
Link won't open here either. It is apparently a closed educational network in Sri Lanka:

address: University of Peradeniya
address: Peradeniya (20400)
country: LK
 
Today, I can't open the link either - using a different computer. The computer I used to read the pdf still opens it, but that may be because the pdf is cached on the machine.
 
YoshiMoshi said:
<Moved from a homework forum. Template removed.>

I can't find any documentation on how to do this. I remember in linear algebra how to find the incidence matrix of an electrical network of purely resistors. Put how do I find it of a RLC circuit with resistors, inductors, and capacitors? I can't even find an example. Thanks for any help.
I do not think the nature of the elements matters, as far as the incidence matrix is concerned.
For an example of an RLC circuit and its incidence matrix, you can have a look at p 385 (Section 9.1) of Basic Circuit Theory by Desoer and Kuh, 1969.
 
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