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

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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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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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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.
 
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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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