Mathematical and Physical Journal
for High Schools
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# Problem P. 4813. (February 2016)

P. 4813. Consider the bridge circuit shown in the figure.

$\displaystyle a)$ What is the resistance of the resistor in the middle if the equivalent resistance of the system between the points $\displaystyle A$ and $\displaystyle B$ is exactly the same as the resistance of the resistor in the middle: $\displaystyle R_{AB}=X$.

$\displaystyle b)$ Is it possible to choose the value of $\displaystyle X$ such that the equivalent resistance is equal to the root-mean-square value of $\displaystyle R_1$ and $\displaystyle R_2$, which is: $\displaystyle R_{AB}=\sqrt{\frac{R_1^2+R_2^2}{2}}$.

(4 pont)

Deadline expired on March 10, 2016.

### Statistics:

 37 students sent a solution. 4 points: Balogh Menyhért, Bekes Nándor, Csorba Benjámin, Csuha Boglárka, Di Giovanni András, Elek Péter, Fehér 169 Szilveszter, Iván Balázs, Körmöczi Dávid, Krasznai Anna, Marozsák Tóbiás , Molnár Mátyás, Nagy 555 Botond, Németh 777 Róbert, Németh Flóra Boróka, Olosz Adél, Paulovics Péter, Póta Balázs, Pszota Máté, Radnai Bálint, Sal Kristóf, Tomcsányi Gergely, Varga-Umbrich Eszter, Wiandt Péter. 3 points: Csenger Géza, Ghada Alshalan, Páhoki Tamás, Szűcs Győző. 2 points: 8 students. 1 point: 1 student.

Problems in Physics of KöMaL, February 2016