A Treatise On Electricity And Magnetism 1

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A Treatise On Electricity And Magnetism 1
Maxwell James Clerk
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If to the above system of electrified points we superadd their images in a sphere with its centre at the origin we see that, in addition to the three coordinate planes, the surface of the sphere forms also a part of the surface of zero potential] Two Spheres not Intersecting, 171.] When a space is bounded by two spherical surfaces which do not intersect, the successive images of an influencing point within this space form two infinite series, all of which lie beyond the spherical surfaces, and
...therefore fulfil the condition of the applicability of the method of electrical images.
Any two non-intersecting spheres may be inverted into two concentric spheres by assuming as the point of inversion either of the two common inverse points of the pair of spheres.
248 ELECTRIC IMAGES, [171.
We sliall begin^ therefore, with the case of two nninsalated concentric spherical surfaces, subject to the induction of an elec- trified point placed between them.
Let the radius of the first be d, and that of the second be^y and let the distance of the influencing point from the centre be r = b^.


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