Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 3981. (April 2007)

P. 3981. A generator of constant voltage but of variable frequency is connected to a series RLC circuit. Gradually changing the frequency the current reaches a maximum, when the voltage across the inductor is U1. If the frequency is further increased the current decreases, but the voltage across the inductor still increases. Later the voltage across the coil reaches its maximum of U2 and then it decreases.

Determine the quotient of \frac{U_{2}}{U_{1}} in terms of R, L and C.

(5 pont)

Deadline expired on May 11, 2007.


Statistics:

25 students sent a solution.
5 points:Almási 270 Gábor András, Balogh Máté, Blastik Zsófia, Blázsik Zoltán, Dudás János, Győri Tamás Noé, Hegyi Ádám, Hlatky Dávid, Nagy 224 Csaba, Pálovics Róbert, Réti Dávid, Szilágyi Zsombor, Tolnai Gábor, Tolner Ferenc, Tüzes Dániel, Varga Bonbien.
4 points:Danka Miklós András, Roósz Gergő, Sándor Bulcsú, Szolnoki Lénárd.
3 points:2 students.
1 point:1 student.
0 point:1 student.
Unfair, not evaluated:1 solution.

Problems in Physics of KöMaL, April 2007