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P. 4681. The chain of resistors made of $\displaystyle 3N$ resistors as shown in the figure can be closed in two different ways.

$\displaystyle a)$ The terminals at points $\displaystyle A$ and $\displaystyle C$ are connected and also the terminals at point $\displaystyle B$ and $\displaystyle D$ are connected.

$\displaystyle b)$ The terminals at points $\displaystyle A$ and $\displaystyle D$ are connected and also the terminals at $\displaystyle B$ and $\displaystyle C$ are connected. (Möbius band.)

In which case will the equivalent resistance of the system between $\displaystyle A$ and $\displaystyle B$ be greater?

(6 points)

Deadline expired on 10 December 2014.

Statistics on problem P. 4681.
 13 students sent a solution. 6 points: Asztalos Bogdán, Balogh Menyhért, Berta Dénes, Blum Balázs, Csathó Botond, Fekete Panna, Forrai Botond, Holczer András, Kaposvári Péter, Sal Kristóf. 4 points: 2 students. 0 point: 1 student.

• Problems in Physics of KöMaL, November 2014

•  Támogatóink: Morgan Stanley