Mathematical and Physical Journal
for High Schools
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# Problem P. 4452. (May 2012)

P. 4452. In a long thin iron rod uniformly changing magnetic induction can be created. The induced voltage in a wire around the rod is U=10 mV. A wire is put around the rod such that into one half of it a resistor of resistance R1=10 k, and into the other half a resistor of resistance R2=20 k are inserted.

a) What is the reading on the ideal voltmeter connected to the A and B terminals of the resistors?

b) What would be the reading on a voltmeter of resistance Rm=100 k?

Does the measured voltage depend on to which side of the rod the meter is placed?

(5 pont)

Deadline expired on June 11, 2012.

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

Megoldásvázlat. A mérőműszer jobb, illetve bal oldali helyzetétől függően

a) Uj=6,67 mV; Ub=3,33 mV,

b) Uj=6,25 mV; Ub=3,125 mV

feszültséget mérhetünk.

### Statistics:

 26 students sent a solution. 5 points: Agócs Fruzsina, Barta Szilveszter Marcell, Bingler Arnold, Bolgár Dániel, Csóka József, Czipó Bence, Fehér Zsombor, Janzer Barnabás, Janzer Olivér, Juhász Péter, Kollarics Sándor, Koncz Gabriella, Laczkó Zoltán Balázs, Nagy Lajos, Papp Roland, Szabó 928 Attila, Szélig Áron, Szigeti Bertalan György, Ürge László, Vajda Balázs, Varju Ákos. 3 points: 4 students. 1 point: 1 student.

Problems in Physics of KöMaL, May 2012