ABSTRACT

Having developed some mathematical machinery, let us now turn to another essentially one-dimensional problem, that of the potential due to a point charge between two parallel grounded conducting plates. It is not possible, however, just from a knowledge of the force to assign uniquely the values and locations of these charges. For example, a positive contribution to the force on charge e could equally well arise from an image charge e located to the left, or from an image charge -e positioned to its right. And, one would be unaware of the possible compensating force contributions of identical charges arrayed equidistantly on opposite sides of charge e. Accordingly, having thus been led to the question of an image charge description, we make a direct attack on this problem.