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Resistance in an octahedron between two points.

  1. Apr 10, 2012 #1
    1. The problem statement, all variables and given/known data

    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
    2. Relevant equations

    I assume:

    Ohms Law: U=R*I

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


    3. 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.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 10, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    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?
     
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