Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 3890. (April 2006)

P. 3890. A charged metal sheet is placed into uniform electric field, perpendicularly to the electric field lines. After placing the sheet into the field, the electric field on the left side of the sheet will be E1=5.6.105 V/m and on the right it will be E2=3.1.105 V/m (see the figure).

a) Find the total charge of the sheet if you know that a force of 0.08 N is exerted on it.

b) Find the area of the sheet.

(5 pont)

Deadline expired on May 11, 2006.

### Statistics:

 53 students sent a solution. 5 points: Győri Tamás Noé, Konczer József, Kónya 495 Gábor, Matulik Gábor, Molnár 811 Kristóf, Nagy 317 Péter, Nyíri Dávid Ákos, Pálovics Róbert, Széchenyi Gábor, Werner Miklós. 4 points: Almási 270 Gábor András, Engedy Balázs, Mándi Gábor, Nagy 224 Csaba, Nagy 555 Zoltán, Pásztor Attila, Pósa László, Tóth 123 László. 3 points: 4 students. 2 points: 12 students. 1 point: 15 students. 0 point: 2 students. Unfair, not evaluated: 2 solutionss.

Problems in Physics of KöMaL, April 2006