Mathematical and Physical Journal
for High Schools
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# Problem P. 4779. (November 2015)

P. 4779. At a height of $\displaystyle h$ above a broad grounded metal sheet there is a metal sphere of radius $\displaystyle R$ in the air ($\displaystyle R\ll h$). The sphere is joined to the sheet with a very thin piece of metal wire. A point charge is brought near the sphere, such that its distance from both the sphere and the sheet is $\displaystyle h$. Then we first remove the wire and after the charge. What will the potential difference between the sphere and the sheet be?

(6 pont)

Deadline expired on December 10, 2015.

### Statistics:

 18 students sent a solution. 6 points: Asztalos Bogdán, Balogh Menyhért, Blum Balázs, Csenger Géza, Di Giovanni András, Forrai Botond, Iván Balázs, Kasza Bence, Kovács Péter Tamás, Sal Kristóf. 5 points: Szentivánszki Soma , Tomcsányi Gergely. 4 points: 1 student. 2 points: 1 student. 1 point: 2 students. 0 point: 2 students.

Problems in Physics of KöMaL, November 2015