Consider an electron in front of the metallic surface at a distance d (treated as an infinite plane surface). Assume the force of attraction by the plate is given as 2 2 0 1 4 4 q d Calculate work in taking the charge to an infinite distance from the plate. Taking d = 0.1nm, find the work done in electron volts. [Such a force law is not valid for d < 0.1nm].
Let us consider the above-given figure wherein an electron is displaced slowly by a distance x by the means of an external force which is given by
Now work done by an external agency in taking the electron from distance d to infinity is