The exact integration solutions to establish the potential V and also E = 0 at points within uniformly charged spherical shells and infinite cylinders
Some students would like to see the exact integral solutions to substantiate continuity of V and E = 0 inside uniformly charged shells and infinite cylinders. Unfortunately no texts detail these solutions. This article outlines, for future reference, the exact (though complicated) formulations and integral evaluations, thus helping clarify and validate the simpler solutions.
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References
1.
ErlichsonH., ‘Electric field and electric flux’, Am. J. Phys. 38, pp. 1252–1253 (1970)
2.
LorrainP. and CorsonD.R., Electromagnetic Fields and Waves, p. 53, W. H. Freeman and Co. (1970)
3.
SpiegalM.R., Advanced Calculus, p. 371, McGraw-Hill (1974)
