Problem P. 4505. (January 2013)

P. 4505. The values the resistance of the resistors connected to the voltage supply of U=120 V, as shown in the figure are unknown. When the switch is closed the reading on the voltmeter changes by 16 V, and the power dissipated by the resistor R₁ changes by 51.2 W.

a) Using the condition given to the change in the voltage determine the ratio of the resistances: R₁/R₂.

b) What are the values of the resistance of the resistors R₁ and R₂?

(4 pont)

Deadline expired on February 11, 2013.

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

Megoldásvázlat. \(\displaystyle a)\) \(\displaystyle R_1/R_2=2\) vagy 1/4.

\(\displaystyle b)\) \(\displaystyle R_1=55~\Omega\) és \(\displaystyle R_2=27{,}5~\Omega\) vagy \(\displaystyle R_1=20~\Omega\) és \(\displaystyle R_2=80~\Omega\).

Statistics:

80 students sent a solution.
4 points:	54 students.
3 points:	17 students.
2 points:	6 students.
1 point:	3 students.

Problems in Physics of KöMaL, January 2013