Total resistance through cubic circuit

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Homework Help Overview

The problem involves finding the equivalent resistance of a cubic circuit where each edge of the cube has a resistor. The focus is on determining the resistance between two diagonally opposite corners of the cube.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about the algebraic approach to the problem, with one suggesting the idea of flattening the cube for easier visualization. Others question whether applying Kirchhoff's laws directly to the cube is sufficient.

Discussion Status

The discussion is ongoing, with participants exploring different methods to approach the problem. There is a mix of suggestions regarding visualization and application of circuit laws, but no consensus has been reached on a specific method.

Contextual Notes

Some participants question the necessity of certain connections in the circuit, indicating a potential misunderstanding of the circuit's structure. There is also mention of a deleted post, which may have contained relevant information.

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Homework Statement



Suppose a resistor R lies along each edge of a cube (12 resistors in all) with connections at the corners. Find the equivalent resistance between two diagonally opposite corners of the cube


Homework Equations



[tex]\Sigma[/tex]I = 0 at a node (a junction)

[tex]\Sigma[/tex]V = 0 through a loop

V=IR

The Attempt at a Solution




Not quite sure how to do this one algebraically. Would I just add up all the V/Is? how?
 
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Not quite sure where to start...can anyone help me?
 
How about opening the cube out so it's flat and looking at it that way.
 
Interesting...is that necessary though, or could I just apply kirchhoffs laws to it as it is?
 
I count from anyone node:
3 paths to 3 nodes which then connect by:
6 paths to 3 nodes which then connect by:
3 paths to 1 node.

connecting the 3 nodes together with wires should change nothing.
 
are you saying just ignore those 6 connections?
 
I think the post I was responding to was deleted.
 

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