(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider an icosahedron all of whose edges are 2 ohm resistors. If a 12 V battery is connected in opposite vertices, what is the current flow through each resistor?

2. Relevant equations

v=ir

3. The attempt at a solution

I found somewhere that the equivalent resistance of the icosahedron would be R/2. So i use v=ir to find i=v/r =12/1=12amps and since there are 30 edges in the shape, i take 12/30 because of symmetry so the current through each resistor is3/5amps?

Im not sure how to actually reduce a 3D shape of resistors, it has been a while since ive taken a class on circuits. Any help would be much appreciated.

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# Homework Help: Finding the current through an icosahedron of resistors

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