Determine the force between
the point charge and ungroudned and uncharged sphere.
Take radius of sphere to be R and the distance between the point charge
and the center of the sphere to be d.
2) In a grounded block of conductor there is a spherical hollow (see the sketch).
The center of the hollow is at point O, and the radius of the sphere (i.e. distance between points O and A is R. At a distance d from point O placed a charge q. Find the charge density of induced charges at point A.
3) Two infinite conducting plates are perpendicular to each other. A charge q is placed distance a from their intersection, along the bisector.
Find the force F acting on the charge.