Mathematical and Physical Journal
for High Schools
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Problem P. 4231. (February 2010)

P. 4231. Metal pieces of wires, of resistance R are used to build a cube system as shown in the figure. The cubes make a long chain, which can be considered infinite. What is the equivalent resistance between points A and B?

(5 pont)

Deadline expired on March 10, 2010.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. \(\displaystyle R_{AB}=\frac{4\sqrt{6}+1}{4\sqrt{6}+6}R\approx 0{,}684~R.\)


Statistics:

26 students sent a solution.
5 points:Benyó Krisztián, Béres Bertold, Bolgár Dániel, Csopor Dávid, Fonai Dániel, Hartstein Máté, Hegedűs Csaba, Jéhn Zoltán, Kaposvári István, Kiss Boldizsár, Kollarics Sándor, Kovács Attila, Kungl Ákos Ferenc, Lőrincz Dóra, Mayer Martin János, Neumer Tamás, Pálovics Péter, Patartics Bálint, Réti Dávid, Szabó 928 Attila, Varju 105 Tamás.
3 points:2 students.
1 point:3 students.

Problems in Physics of KöMaL, February 2010