Finding the equivalent resistance PLEASE HELP

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Homework Help Overview

The original poster is attempting to find the equivalent resistance of a cube where each edge has resistance, but no numerical values are provided. The problem involves a three-dimensional circuit diagram and raises questions about the feasibility of determining an equivalent resistance in such a configuration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants question the validity of representing a three-dimensional circuit and whether it can yield an equivalent resistance. Others suggest using symmetry to simplify the problem by identifying points with the same potential and considering series and parallel combinations of resistances.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the use of symmetry and potential connections between corners of the cube, but no consensus has been reached on the overall approach or solution.

Contextual Notes

The problem is presented as extra credit, which adds a layer of motivation for the original poster. There is also mention of a potential response from the teacher regarding the answer, indicating that further clarification may be forthcoming.

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Finding the equivalent resistance...PLEASE HELP!

Homework Statement


So I have a cube and it has resistance on every edge and I need to find what is the equivalent resistance? No numbers are given just the cube itself.


Homework Equations





The Attempt at a Solution


How in the world do I go about solving this??
 
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First of all, why would you make a three dimensional circuit diagram? That makes absolutely no sense. Second, I'm fairly certain this cannot be given an equivalent resistance. A square of resistors doesn't have an equivalent resistance, nor should its three dimensional equivalent. You could find a thevenin resistance, but since it is three dimensional then I don't know what you would consider what.

Since when do people think circuits should be vectors?
 
I suppose all the resistances along the edges are equal and the resistance between 2
opposite points on the cube is needed.

Using symmetry you can see that some of the corners have the same potential. You can connect these and it becomes an easy problem with parallel and series resistances
 
Thank you for your help! Well my teacher decided to give us this problem as extra credit worth 20 points which is huge! So I am determined to figure out! Thanks again!
 
I'm curious to see what your teacher says the answer is. Would you mind posting it when you know it?
 

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