Mathematical and Physical Journal
for High Schools
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Problem P. 4281. (October 2010)

P. 4281. Using six different resistors the tetrahedron ABCD was soldered. If a battery is inserted between two vertices (for example AB) and a sensitive ammeter is inserted between other two vertices (CD), then we experience with a surprise that the ammeter reads zero, independently of the two vertices of the tetrahedron which were chosen first.

What is the relation between the six resistances?

(4 pont)

Deadline expired on November 10, 2010.


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

Megoldás. A tetraéder kitérő éleinél levő ellenállások szorzata mindhárom ellenálláspárra ugyanakkora.


Statistics:

46 students sent a solution.
4 points:Ayhan Dániel, Bánhidi Dávid, Béres Bertold, Bolgár Dániel, Bősze Zsuzsanna, Broda Balázs, Csizmadia Luca, Damokos József, Fülep Andrea , Gargauly Gergő János, Hoffmann Hanna, Jéhn Zoltán, Kiss Csanád, Lakos Zoltán, Máthé László, Nagy Dániel Bálint, Neumer Tamás, Pádár Péter, Papp Roland, Pataki Bálint Ármin, Szabó 928 Attila, Szélig Áron, Tamási Mátyás, Varga 515 Balázs, Virágh Eszter, Zelei Kristóf.
3 points:Antalicz Balázs, Béres Orsolya Katalin, Krepuska Edvárd, Schwarcz Gergő.
2 points:3 students.
1 point:4 students.
0 point:8 students.
Unfair, not evaluated:1 solutions.

Problems in Physics of KöMaL, October 2010