Mit bud er at der er ideelt set er 0 ohms modstand
Jo større du laver nettet, jo flere modstande er der til parallelt at lede strømmen mellem de 2 punkter, og dermed vil modstanden gå mod 0 når antallet af modstande går mod uendeligt.
Det er et pænt problem du der spørger til - der ser ud til ikke at være løst. De 2 røde knuder er jo ikke i samme løkke (adjacent):
September 2003, Impedance between *adjacent* nodes of infinite uniform D-dimensional resistive lattices:
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Citat: "... In particular, the effective resistance between two *adjacent* nodes of the 2D Liebman resistive mesh the infinite 2D square resistive lattice was calculated by Aitchison1 and found to be ( 1/2) R..."
Du kan afkode løsningen her (tegningerne mangler desværre):
Infinite 2D square grid of $1\Omega$ resistors:
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Resistance-network Problems:
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Citat: "...I was so skeptical of this reasoning that I wrote a C++ program, surl.cc, to examine the convergence in ever-larger finite lattices. Not surprisingly, the FAQ was gave the correct answer..."
Sune Storgaard wrote: > (Nu er det faktisk ikke lige Ohm's lov der er på spil, men synes det lød så > fint..) >
Hej Sune
Det er et pænt problem du der spørger til - der ser ud til ikke at være løst. De 2 røde knuder er jo ikke i samme løkke (adjacent):
September 2003, Impedance between *adjacent* nodes of infinite uniform D-dimensional resistive lattices:
formatting link
Citat: "... In particular, the effective resistance between two *adjacent* nodes of the 2D Liebman resistive mesh the infinite 2D square resistive lattice was calculated by Aitchison1 and found to be ( 1/2) R..."
Du kan afkode løsningen her (tegningerne mangler desværre):
Infinite 2D square grid of $1\Omega$ resistors:
formatting link
formatting link
Resistance-network Problems:
formatting link
Citat: "...I was so skeptical of this reasoning that I wrote a C++ program, surl.cc, to examine the convergence in ever-larger finite lattices. Not surprisingly, the FAQ was gave the correct answer..."
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