No Current Between AF & DG in Symmetrical Circuit: True?

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Homework Help Overview

The discussion revolves around a symmetrical circuit and the assertion that there is no current between the junctions AF and DG due to their equal potential. Participants are exploring the implications of circuit symmetry on current flow.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants attempt to clarify the role of symmetry in determining potential differences, questioning whether top-bottom symmetry is necessary for current elimination between junctions AF and DG.

Discussion Status

The discussion is active, with participants providing insights into the symmetry of the circuit and its effects on potential differences. There is a recognition of the horizontal symmetry contributing to equal potentials at AF and DG, although questions about the necessity of other types of symmetry remain.

Contextual Notes

Participants are considering the implications of circuit symmetry and potential differences, with some expressing uncertainty about the conditions required for no current flow between specific junctions.

sparkle123
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Due to the symmetry of the circuit there is no current through the resistor between the junctions (AF) and (DG) so the junctions (AF) and (DG) have the same potential.

I don't understand how this is true. The circuit is symmetrical left-right but not top-bottom. Isn't top-bottom symmetry what is required to eliminate current between AF and DG?
Thanks!
 
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Hi sparkle123! :smile:

Due to the horizontal symmetry, all points in the circuit that are on the vertical center line have the same potential.
(There's as much resistance left as right of these points.)

When there is no potential difference, no current will flow.
 
The top branch with R1 and R1 leaves the AF junction half way between the potentials at E and B.

The bottom branch also has equal resistance on either side, splitting the potential to half way between E and B. The potentials at AF and DG are the same so there is no current from one to the other.

edit: didn't see your post before posting, I like Serena.
Great minds think alike?
 
Thanks I like Serena and Delphi51! :)
(yes, great minds do think alike!)
 

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