Removing a node in Y-Δ transform

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SUMMARY

The discussion centers on the Y-Δ (Wye-Delta) transformation in electrical circuits, specifically addressing the scenario where a resistor is connected to the middle node of a Y configuration. The professor confirmed that the transformation can still be performed, even if one end of the resistor is not connected to anything, resulting in the resistor effectively being disconnected. This leads to a situation where the voltage across the disconnected resistor is zero, creating an open circuit condition. The key takeaway is that the Y-Δ transformation remains valid regardless of the connection status of the resistor at the middle node.

PREREQUISITES
  • Understanding of Y-Δ transformations in circuit theory
  • Familiarity with the superposition theorem in electrical engineering
  • Basic knowledge of circuit components, including resistors and nodes
  • Concept of open circuits and their implications in voltage analysis
NEXT STEPS
  • Study the implications of the superposition theorem in complex circuits
  • Learn about advanced circuit analysis techniques using Y-Δ transformations
  • Explore the concept of open circuits and their effects on circuit behavior
  • Investigate practical applications of Y-Δ transformations in electrical engineering
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in advanced circuit analysis techniques will benefit from this discussion.

Conductivity
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After we proved Y-Δ transform using superposition theorem, The professor asked us what would happen if you have a Y circuit but a resistor is connected to the middle node. Can you do the transformation?

She answered and said yes, and that resistor will be connected to nothing. How can that be true? Or how do we prove that this is true if it is?
 
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I am rather confused about your question.

Are you asking what will happen if you had a resistor at the center of the Y configuration making it so that one end is not connected to anything?
It has been a while since I have done this, so I might be wrong but I think there would be 0 volts. Because would that not create an open?
 

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