Why is there no current flow in the middle branch? (Circuits problem)

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Homework Help Overview

The discussion revolves around a circuits problem concerning current flow in a specific junction of a circuit. Participants are examining why current does not split into the middle branch, regardless of resistor values.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants suggest drawing a more conventional schematic to clarify the situation. Questions are raised about the potential difference between junctions and the implications of current needing to flow in a loop. Some participants also discuss the application of Kirchhoff's Laws in this context.

Discussion Status

The discussion is ongoing, with participants providing insights and suggestions for visualizing the problem. There is a focus on understanding the underlying principles of current flow and circuit behavior, but no consensus has been reached.

Contextual Notes

Participants note the importance of a proper schematic drawing to better illustrate the circuit's behavior and the assumptions regarding electron flow and potential differences.

phantomvommand
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Homework Statement
See picture below
Relevant Equations
Kirchoff's Laws
Screenshot 2024-08-28 at 2.31.41 AM.png


Why does current not split into the middle junction? I notice that this is true regardless of the values of the resistors.
 
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To see why not, draw a more conventional schematic, and check the voltage difference over the 80 + 120 Ohm.

##\ ##
 
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The only reason could be that there is zero potential difference between nodes (junctions) A and B.

Kirchoff Law 1.jpg
 
1724785578340.png
 
In any circuit current has to be able to flow around a loop to return to each location. U-turns don't count, it has to flow in a single direction through each branch. Otherwise the charges would all collect at the end.
 
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BvU said:
draw a more conventional schematic
<sigh>

We can provide advice, but if he won't take it, he won't take it.
 
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phantomvommand said:
Homework Statement: See picture below
Relevant Equations: Kirchoff's Laws

Why does current not split into the middle junction? I notice that this is true regardless of the values of the resistors.
Because there is nothing attracting the electrons to go that way; and even if there was, there is no way the electrons could get back to their source.
 
Last edited:
Tom.G said:
Because there is nothing attracting the electrons to go that way; end even if there was, there is no way the electrons could get back to their source.
Which a proper drawing would have shown.
 
DaveE said:
In any circuit current has to be able to flow around a loop to return to each location. U-turns don't count, it has to flow in a single direction through each branch. Otherwise the charges would all collect at the end.
I'd just add that applying Kirchoff Current Law (KCL) to a "cut" around A-B link (that includes it alone) gives zero current through it.
 
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