Resistance Value?

[Phil]

Bugger, there goes my prize.

I realized as I tucked myself into bed that not all nodes can give one ohm, as if they are on the same row or column, the shortest path is through n one ohm resistors. However, I contend that electrons are clever enough to take only the shortest route, and not to bother with infinitely long parallel alternatives. Anyway, 24 resistors is practically infinity anyway.

Huh. I never wanted to play anyway.

Phil M1GWZ


On 26 Oct 2012, at 18:06, Richard O'Neill wrote:

> Karl,
> 
> Oops! I've discovered that I must eat my words, with a side helping of humble pie. Several calculations later have demonstrated to me that the rate of resistance decline with more resistors is greater than I had first estimated. In hindsight I should have seen it.
> 
> As more resistors are added the resistance decreases well below one ohm and continues to decline. I don't know to what value and won't speculate further. Guess I've earned the Ig Nobel prize of the week. :'(
> 
> Richard
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