Re: Simple Question



On Tue, 26 Sep 2006 21:15:18 GMT, Jonathan Kirwan
<jkirwan@xxxxxxxxxxxxxx> wrote:

On Tue, 26 Sep 2006 21:03:04 GMT, "Homer J Simpson"
<nobody@xxxxxxxxxxx> wrote:

"Bob Myers" <nospamplease@xxxxxxxxxxxxxxx> wrote in message
news:7mgSg.391$Fr5.14@xxxxxxxxxxxxxxxxxxx

But this wasn't the case here, at least as I understood
the problem. The original post described an infinite
"grid" of resistors - i.e., imagine an infinitely large
grid of squares, with each "node" (every point within
the grid where the corners of the squares meet) connected
to the adjacent nodes by a one-ohm resistor. Now measure
the resistance between any two adjacent nodes, and see
what you get.

Yes. It's less than 3 ohms but more than zero.

The fun is in deducing theory to specifics and solving quantitatively.
Otherwise, there is no way to see if theory holds. I think I got the
details right, using two completely different approaches to the
problem and providing similar results.

Sorry, forgot to add:

Now we need to find someone with that infinite matrix, or one
sufficiently so, so we can test the approaches.

A 100x100 grid should be good enough: 99*100*2 or 19800 1-ohm
resistors. Digikey has axials down to 2.2 ohms, so make it 10 ohms
for ease of relating values. Hmm, $1260.00 for 5000 of them. So that
makes it about $4,990.00. Cheap. Only $5k to test this idea out,
plus a little solder and work.

Volunteers and donations?

In the interests of science?

Jon
.



Relevant Pages

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    (sci.electronics.basics)
  • Re: Simple Question
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    ... Digikey has axials down to 2.2 ohms, ... you also must consider that at some point in the grid - the ... resistors are more manageable and I think that would get close the the ... That is since the grid is infinite, ...
    (sci.electronics.basics)
  • Re: Simple Question
    ... The original post described an infinite ... "grid" of resistors - i.e., ... the grid where the corners of the squares meet) connected ...
    (sci.electronics.basics)
  • Re: Simple Question
    ... Digikey has axials down to 2.2 ohms, ... you also must consider that at some point in the grid - the ... resistors are more manageable and I think that would get close the the ... But quantitative theory clearly says the actual value is ...
    (sci.electronics.basics)