Methods in Physics NO. 1 : Image Method
Suppose that we have a grounded sphere made from a conductor and an electron far from the sphere. Let the radius of the sphere be and the beginning speed of the electron be orientated on the line in distance of from the center of the sphere. The smallest distance between electron and the center of the sphere is
Calculate supposing to have everything else.
The solution is easy after the following observation:
A grounded sphere becomes an equipotentional surface. And the proper arrangement of the electric charge is equivalent to a single electric charge placed on the axis with the electron and the middle of the sphere in distance
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