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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 237

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 237
s to be added. It will easily be verified that, on taking the potential of the originalfield to be J^ = Fa;, we arrive at the results already obtained in § 217. III. Dielectric sphere in a field of force. 263. An analogous treatment will give the solution when a homo-geneous dielectric sphere is… … Fig. 78. and for the potential Vi inside the sphere TI = /3r>S,, no term of the form -~ being included in Vi, as it would give infinite 262-2G4] Splierieal Harmonics 229 potential at the origin. The constants a, /3 are to be determined fromthe conditions Vi = X ^^8W^8K!^at r = a.dr dr These give…

Electricity · Magnetism

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