Undergrad Removing a node in Y-Δ transform

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In the discussion about the Y-Δ transform, a scenario is presented where a resistor is connected to the middle node of a Y circuit. The professor confirms that the transformation can still be performed, but this raises confusion regarding the implications of having a resistor connected to nothing. Participants debate whether this configuration would result in 0 volts due to the open circuit created by the disconnected end. The conversation highlights the complexities of applying the Y-Δ transform in non-standard configurations. Understanding these nuances is essential for accurate circuit analysis.
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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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