The self and mutual-inductance of linear conductors . Fig. 25. where r^ is the g. m. d. of a single conductor ( = 0.7788/9, p being itsradius) and r^g is the distance between centers of the conductors iand 2, etc. If a is the radius of the circle on which the conductorsare distributed C. E. Guye, Comptes Rendus, 118, p. 1329; 1894. j^osa.] hiductance of Linear Conductors. 335 log 7?= log {r^na^^ or R = (r^ na-y ^^^) . The proof of this, as given by Guye, depends on the followingtheorem: If the circumference of a circle is divided into n equal parts bythe points A, B, C, . . and M be any point
![The self and mutual-inductance of linear conductors . Fig. 25. where r^ is the g. m. d. of a single conductor ( = 0.7788/9, p being itsradius) and r^g is the distance between centers of the conductors iand 2, etc. If a is the radius of the circle on which the conductorsare distributed C. E. Guye, Comptes Rendus, 118, p. 1329; 1894. j^osa.] hiductance of Linear Conductors. 335 log 7?= log {r^na~^^ or R = (r^ na-y ^^^) . The proof of this, as given by Guye, depends on the followingtheorem: If the circumference of a circle is divided into n equal parts bythe points A, B, C, . . and M be any point Stock Photo](https://c8.alamy.com/comp/2AM59F7/the-self-and-mutual-inductance-of-linear-conductors-fig-25-where-r-is-the-g-m-d-of-a-single-conductor-=-077889-p-being-itsradius-and-rg-is-the-distance-between-centers-of-the-conductors-iand-2-etc-if-a-is-the-radius-of-the-circle-on-which-the-conductorsare-distributed-c-e-guye-comptes-rendus-118-p-1329-1894-josa-hiductance-of-linear-conductors-335-log-7=-log-rna-or-r-=-r-na-y-the-proof-of-this-as-given-by-guye-depends-on-the-followingtheorem-if-the-circumference-of-a-circle-is-divided-into-n-equal-parts-bythe-points-a-b-c-and-m-be-any-point-2AM59F7.jpg)
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The self and mutual-inductance of linear conductors . Fig. 25. where r^ is the g. m. d. of a single conductor ( = 0.7788/9, p being itsradius) and r^g is the distance between centers of the conductors iand 2, etc. If a is the radius of the circle on which the conductorsare distributed C. E. Guye, Comptes Rendus, 118, p. 1329; 1894. j^osa.] hiductance of Linear Conductors. 335 log 7?= log {r^na~^^ or R = (r^ na-y ^^^) . The proof of this, as given by Guye, depends on the followingtheorem: If the circumference of a circle is divided into n equal parts bythe points A, B, C, . . and M be any point on the line throughOA (inside or outside the circle), then putting OM — x X—a = MKMB . . MN (Cotess theorem).Dividing by MA = .r — ^, x- + ax-^ . . d-^^MB • MC . . MNMaking M coincide with x, and hence x^a^ 7td- = AB ? AC . . AN 12 ^13 • • • • (^-n which substituted in (61) gives (62). Since the self-inductance of a length / of the multiple system isequal to L^2l 2/ (63) we see that the calculation for any case i