Mathematical and Physical Journal
for High Schools
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Problem P. 4613. (February 2014)

P. 4613. A uniform, 1-metre long uninsulated resistance wire, the cross section of which is everywhere constant, is connected to a power supply, the terminal voltage of which is stabilized. One terminal of a resistor, whose resistance is the same as the resistance wire is connected to the end of the resistance wire, whilst the other terminal is moved along the resistance wire.

Where is the pointer of the moving terminal, when the power dissipated on the resistor is one-quarterth of the maximum power dissipated at the resistor?

(4 pont)

Deadline expired on March 10, 2014.


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

Megoldásvázlat. A csatlakoztatott huzalvégtől 61,2 cm távolságban.


Statistics:

59 students sent a solution.
4 points:Antalicz Balázs, Bartók Imre, Beregi Ábel, Berta Dénes, Bősze Zsófia, Büki Máté, Csáky Pál, Csathó Botond, Demeter Dániel, Di Giovanni Márk, Dinev Georgi, Fekete Panna, Győri Szilveszter, Holczer András, Horváth 974 Bence Attila, Iván Balázs, Jakus Balázs István, Juhász Péter, Kaposvári Péter, Kasza Bence, Kenderes Anett, Koncz Imre, Kovács Péter Tamás, Körei Réka Enikő, Marosvári Kristóf, Molnár 128 Szilárd, Nagy Zsolt, Németh Flóra Boróka, Olosz Balázs, Sal Kristóf, Seress Dániel, Szász Norbert Csaba, Szépfalvi Bálint, Szilágyi András, Takács Péter György, Tanner Martin, Tóth Ádám Bars, Tóth Bence Tamás, Turi Soma, Varju Ákos, Virágh Anna, Wiandt Péter.
2 points:1 student.
1 point:13 students.
0 point:3 students.

Problems in Physics of KöMaL, February 2014