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Reprint of papers on electrostatics and magnetism (1872)

Kelvin, William Thomson, Baron, 1824-1907 · London, Macmillan · leaf 203

An illustration from Reprint of papers on electrostatics and magnetism, 1872, leaf 203
lement is —-:;-^; and using this for — q 271/ ° -^ in (17), we find, for the density on eitherside at P, of the electrification inducedby it, the following expression:— Now calling 0 the centre of the sphericalsurface, let COP be denoted by tj ; GOQ by 6; the value of either of these when P or Q is… … XV.] Segment of Spherical Conducting Surface. 185 and we may take d(T=lf^&\udded4>. Hence if, lastly, p denote the electric density at P, on the con-cave side of the segment, we have V /■ /^^ d<b P=Q sr II \\ <Z^sin^V(cosa-cos^) I ^ -. t—z -• 87ryv(cos97-cosa) f ^ y ^ 1—cost;cos0…

Electricity · Magnetism

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