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Article #1438how do you do the one about an infinite mesh of 1ohm resistors ...
From: O.MostynOwen
Date: Fri, 24 Jul 1992 15:03
Date: Fri, 24 Jul 1992 15:03
38 lines
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1937 bytes
There's a problem I was told about years ago which I never managed to solve:
You've got an infinite 2D grid if 1 ohm resistors. What's the resistance
across 1 of them (no it's not 1ohm, 0 or infinity).
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------------1ohm-----------------1ohm------------
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..... 1ohm 1ohm 1ohm .....
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------------1ohm-----------------1ohm------------
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The only clue I got was that you could solve it using Fourier Transforms.
Anyone remember seeing a solution?
I'd be grateful if someone laid this one to rest since it keeps on coming
back to haunt me.
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Owen Mostyn-Owen +44 71 387 7050 ext 3687
Internet: omostyno@cs.ucl.ac.uk UUCP: ...!{uunet,uknet}!ucl-cs!O.MostynOwen
Computer Science, University College London, Gower Street, LONDON WC1E 6BT
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!warwick!nott-cs!ucl-cs!news From: O.MostynOwen@cs.ucl.ac.uk Newsgroups: sci.physics Subject: how do you do the one about an infinite mesh of 1ohm resistors ... Message-ID: <2798@ucl-cs.uucp> Date: 24 Jul 92 15:03:14 GMT Sender: news@cs.ucl.ac.uk Lines: 38