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P. 4626. There are two alike initially uncharged spheres of radius r at a distance of dr, as shown in the figure.

a) Switch is closed. What is the force exerted between the two spheres?

b) What would be the force between the two spheres, if in the previous experiment instead of closing switch , switch was closed?

c) Determine the force exerted between the spheres if both switches are closed.

(6 points)

Deadline expired on 10 April 2014.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldásvázlat. Mindhárom esetben vonzóerő alakul ki:

$\displaystyle F_{(a)}=\frac{U^2}{4k}\left(\frac{r}{d}\right)^2,\quad F_{(b)}=\frac{2U^2}{ k}\left(\frac{r}{d}\right)^5,\quad F_{(c)}=\frac{U^2}{k}\left(\frac{r}{d}\right)^3.$

Statistics on problem P. 4626.
 21 students sent a solution. 6 points: Fehér Zsombor, Horicsányi Attila, Janzer Barnabás, Sal Kristóf. 5 points: Antalicz Balázs, Dinev Georgi. 4 points: 4 students. 3 points: 3 students. 2 points: 5 students. 1 point: 2 students. 0 point: 1 student.

• Problems in Physics of KöMaL, March 2014

•  Támogatóink: Morgan Stanley