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Path: utzoo!linus!philabs!cmcl2!lanl!crs
From: crs@lanl.ARPA
Newsgroups: net.analog
Subject: Re: Thevinin/Norton equivalents	<SPOILER>
Message-ID: <31705@lanl.ARPA>
Date: Thu, 10-Oct-85 09:49:07 EDT
Article-I.D.: lanl.31705
Posted: Thu Oct 10 09:49:07 1985
Date-Received: Sat, 12-Oct-85 06:12:40 EDT
References: <488@nsc-pdc.UUCP> <102500005@hp-pcd.UUCP>
Organization: Los Alamos National Laboratory
Lines: 36

> <<<<<
> 
> If this is quiz time then my all time favorite is:
> 
> 
> 
>   Take 12 one ohm resistors and wire them so that they form a 3-D cube with
> each resistor on an edge of the cube. What is the total resistance across 
> the long diagonal?
> 
> 
>   
> 
> John Eaton
> !hplabs!hp-pcd!john
> 
> 
>  

I get 0.833333... ohms.

Method:

Assume a 3 amp current source entering the corner.  Divide it using
KCL at each node.  Use the resulting currents to find voltage drops
across each resistor.  Sum these voltage drops from corner to corner.
Use Ohm's law (R=E/I) to compute the resistance between corners.

(Naturally, the corners in question are those at the end of the long
diagonal mentioned in the original specification of the problem.
-- 
All opinions are mine alone...

Charlie Sorsby
...!{cmcl2,ihnp4,...}!lanl!crs
crs@lanl.arpa