How to Transform a Circuit to One Resistor?

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Homework Help Overview

The discussion revolves around transforming a circuit into an equivalent representation with a single resistor. The context involves circuit analysis techniques, specifically focusing on Delta-Y transformations and Thevenin equivalents.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore various methods for simplifying the circuit, including Delta-Y transformations and the application of voltage sources to analyze current flow. Questions arise regarding the implications of open circuit conditions and the relationships between different circuit elements.

Discussion Status

The discussion is active, with participants providing insights into different approaches and clarifying concepts. There is a focus on understanding the implications of circuit configurations and the behavior of current in open circuits, though no consensus has been reached on a single method for transformation.

Contextual Notes

Participants express uncertainty about the definitions and implications of certain terms, such as "imagining" a voltage source, and question the conditions under which current flows in the circuit. The conversation reflects a mix of theoretical exploration and practical application of circuit analysis principles.

  • #31
gneill said:
All I am saying is, if the terminals at U2 are open (not connected to a source), then there is no loop and no current flows (through terminals U2).

When i=0?
 

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  • #32
builder_user said:
When i=0?

No current flows through an open circuit. If the terminals at U are open, then current i = 0.
 
  • #33
gneill said:
No current flows through an open circuit. If the terminals at U are open, then current i = 0.

How show on the scheme that terminals are opened?
 
  • #34
builder_user said:
How show on the scheme that terminals are opened?

By having them not connected to any component. In the attached figure, the terminals at U1 are not open. The terminals at U2 are open.
 

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