# Problem P. 4681. (November 2014)

**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 pont)

**Deadline expired on December 10, 2014.**

### Statistics:

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