Resistance in an octahedron between two points.

[zeralda21]

Homework Statement

Twelve identical wires, each with resistance 1.0 ohms, are linked together to form a
octahedron (see figure). What is the resistance between corners E and F?

http://etc.usf.edu/clipart/65700/65732/65732_octahedron_md.gif

Homework Equations

I assume:

Ohms Law: U=R*I

Parallel connection of resistors: 1/R_total=1/R_1+1/R_2...+1/R_n

The Attempt at a Solution

First of all I wanted to create a 2-dimensional wiring diagram to simplify the problem. From there I concluded that this was a parallel connection of resistors. One question I asked myself is if the current is equally large between all wires, so I am trying to find out in the book. Maybe that could be of any help.

 

[gneill]

Homework Statement

Twelve identical wires, each with resistance 1.0 ohms, are linked together to form a
octahedron (see figure). What is the resistance between corners E and F?

http://etc.usf.edu/clipart/65700/65732/65732_octahedron_md.gif

Homework Equations

I assume:

Ohms Law: U=R*I

Parallel connection of resistors: 1/R_total=1/R_1+1/R_2...+1/R_n

The Attempt at a Solution

First of all I wanted to create a 2-dimensional wiring diagram to simplify the problem. From there I concluded that this was a parallel connection of resistors. One question I asked myself is if the current is equally large between all wires, so I am trying to find out in the book. Maybe that could be of any help.

This is the sort of problem where symmetry will help, and in fact makes the problem rather simple. Suppose you put a 1V source across E-F. What potentials do you expect to find at the points A,B,C, and D?