The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 209
is occupied by dielectric,the boundary of the dielectric being an infinite plane. We begin by considering the field produced by a single charge e at P, itbeing possible to obtain the most general field by the superposition of simplefields of this kind. We shall shew that the field in air is the… … Fig. 66. Let PP be taken for axis of x, the origin 0 being in the boundaryof the dielectric, and let OP = a. Then we have to shew that the potentialVa in air is V^= 1 + ^ ^{x + of + y + z \l{x - a) + ^/^ + ^ while that in the dielectric is These potentials, we notice, satisfy Laplaces equation in…
Electricity · Magnetism
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