Nodal Analysis Help using matrix

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SUMMARY

The discussion focuses on solving nodal analysis problems using matrices to find the voltages at nodes 2, 3, and 4. The user, Chris, struggles with incorporating complex numbers into the simultaneous equations derived from Kirchhoff's laws. Key parameters mentioned include A=60, B=15, and C=153, which are likely related to circuit components. The need for a systematic labeling convention is also emphasized to facilitate clearer problem-solving.

PREREQUISITES
  • Understanding of Kirchhoff's laws
  • Familiarity with complex numbers in electrical engineering
  • Knowledge of matrix operations
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the application of Kirchhoff's laws in circuit analysis
  • Learn about solving simultaneous equations using matrix methods
  • Explore the use of complex numbers in electrical circuits
  • Investigate labeling conventions for circuit diagrams
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing electrical networks using nodal analysis.

willow16v
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Hi,
I would be grateful of any advice on how to solve the problem below.

My aim is to find the voltages at nodes 2, 3, and 4, by means nodal analysis and thus creating simultaneous equations and solving them using matricies or matrix

I understand kirchhoffs law etc however its the complex numbers that are throwing me when working out the equations at each node.

I have tried for weeks now and it seems i am beaten yet again on my failure of rearranging algebra.

Any help would be great.

A=60 B=15 C=153


See diagram Below.

Cheers Chris

nodalanalysis.jpg
 
Last edited:
Physics news on Phys.org
1. where is your working?

2. you should have a labeling convention.
 

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