Mathematical and Physical Journal
for High Schools
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# Problem P. 3799. (April 2005)

P. 3799. We touch a charged metal sphere of a radius of R with an uncharged metal sphere of a radius of r and then the two are properly separated. Then we touch the previous metal sphere of radius R with another uncharged metal sphere of a radius of also R. After this we arrange the three metal spheres at proper distances from each other in the points of a regular triangle. What is the direction of the electric field strength in the middle of the triangle?

(4 pont)

Deadline expired on May 11, 2005.

### Statistics:

 86 students sent a solution. 4 points: Almási 270 Gábor, Blastik Zsófia, Cserép Gábor, Csire Gábor, Domonkos Tamás, Drozdy András, Dudás János, Enczel Dávid, Farkas 666 Patrik, Filep Tamás, Gyenis András, Hagymási Imre, Hegyi Ádám, Hidasi Balázs, K. Gergely, Kolcza Mátyás Barna, Kriston Judit, Lantos Judit, Máté István Mátyás, Matulik Gábor, Meszéna Balázs, Nagy 317 Péter, Nagy 897 Zsolt, Nyíri Dávid Ákos, Ökrös Tamás, Pálinkás Csaba, Pálovics Róbert, Pósa László, Pusztai Anna, Sajtos László, Szijártó 710 Rita, Takátsy Balázs, Tancsa Zsolt, Tóth 324 Gábor, Tóth 987 Mariann, Varga Melinda, Werner Miklós. 3 points: Balogh 116 Péter, Demeter Dániel, Engedy Balázs, Haszpra Tímea, Hotzi Bernadette, Kónya 495 Gábor, Kristóf Endre, Kurgyis Zsuzsanna, Pásztor 001 Attila, Szabó 729 Péter, Széchenyi Gábor, Szolnoki Lénárd. 2 points: 5 students. 1 point: 2 students. 0 point: 26 students. Unfair, not evaluated: 4 solutions.

Problems in Physics of KöMaL, April 2005