By James Clerk Maxwell
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Additional resources for An Elementary Treatise on Electricity
That of at electrification the of part density Since the surface of the conductor is an equipotential surface, the motive force close to a conducting surface The fact that the elecis perpendicular to it. tromotive force at a point close to the surface of a conductor is perpendicular to the surface and proportional to the density of the electrification at that point was first established experimentally by electromotive force generally referred to as Coulomb's Law. To prove that when the proof plane coincides with the surface of the conductor the charge of the proof plane when removed from Coulomb, and it is the electrified conductor surface which it covers, A is equal to the charge on the part of the the following experiment.
The relative positions of the conductors are fixed, the is entirely transformed into electrical work done in charging them If they are charged in the manner just described, the in charging any one of them is J EP, where re- energy. E work expended its final charge and P its final potential. , there being as many products as there are conductors in the system. EP), where the symbol 2 (sigma) denotes that all the products of the form EP are to be summed together, there being one such product for each of the conductors of which the system consists.
The charge of the first sphere is then divided with the second sphere, and becomes J(l n)e. The second sphere e then discharged, and the charge charge on either sphere is J(l n)e. is first is sphere, let again divided, so that the The charge on the insulated and opposite to that on the segment, and it is thereand fore this is perfectly neutralized by the charge on one of ne, the spheres hence J (1 n)e -f ( ne] = 0, from which we find n = ^, vessel is equal ; or the electricity removed by the segment covering one-fifth of the surface of the sphere is one-fifth of the whole charge of the sphere.
An Elementary Treatise on Electricity by James Clerk Maxwell