How do you apply the wye delta transformation in complex electrical circuits?

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SUMMARY

The wye-delta transformation is a critical technique in electrical circuit analysis, particularly for simplifying complex resistor networks. However, it cannot be applied in certain special cases, such as when dealing with a cube of resistors or messy nets that include current and voltage sources. The discussion highlights the challenge of calculating resistance between opposite corners of a cube with equal resistances on all edges, emphasizing the limitations of the wye-delta transformation in these scenarios.

PREREQUISITES
  • Understanding of electrical circuit theory
  • Familiarity with wye-delta transformations
  • Knowledge of resistor networks
  • Ability to analyze complex circuits with current and voltage sources
NEXT STEPS
  • Study the application of wye-delta transformations in various resistor configurations
  • Learn techniques for calculating equivalent resistance in complex resistor networks
  • Explore methods for analyzing circuits with current and voltage sources
  • Investigate the mathematical principles behind the cube of resistors
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Electrical engineers, circuit designers, and students studying circuit analysis who need to understand the limitations and applications of the wye-delta transformation in complex electrical circuits.

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Homework Statement


What can be special cases, in the study of electrical circuits, in which one can not apply wye delta transformation? Can someone graph them in some way?

Homework Equations

The Attempt at a Solution

 
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The cube with resistors on all sides is an example.
 
Alright..other cases instead?
 
You can probably figure out how to obtain the resistance between opposite corners when all edges of the cube have equal resistance, but how would you do the general cube?

Other examples are messy nets of resistors, current sources, and voltage sources.
 

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