Problem P. 4568. (October 2013)

P. 4568. There is a resistor of resistance R and a capacitor of capacitance C connected in parallel in a black box. Somebody states that this arrangement at a certain frequency cannot be differentiated from that black box which contains an appropriately chosen resistor and capacitance which are connected in series. Is he or she right?

(4 pont)

Deadline expired on November 11, 2013.

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

Megoldásvázlat. Igen, ha a sorosan kapcsolt elemek adatai

\(\displaystyle R'=\frac{R}{1+R^2\omega^2C^2} \qquad \textrm{és}\qquad C'=C\,\frac{1+R^2\omega^2C^2}{R^2\omega^2C^2}.\)

Statistics:

19 students sent a solution.
4 points:	Bereczki Zoltán, Farkas Tamás, Juhász Péter, Rózsa Tibor.
3 points:	Dinev Georgi, Keserű György László, Virágh Anna.
2 points:	2 students.
1 point:	3 students.
0 point:	7 students.

Problems in Physics of KöMaL, October 2013