164 KENNELLY— THE LINEAR RESISTANCE [April 24, 



Notation. 



a^ polar distance or distance of polar axis from parallel plane 



in a plane-cylinder system, cm. 



Cp = linear capacity of plane-cylinder system, statfarads/cm. 



Cp = linear capacity of plane-cylinder system, microfarads/km, 



Cp" = linear capacity of plane-cylinder system, microfarads/mile 



c^p = linear capacity of double-cylinder system, statfarads/cm. 



Cqo' = linear capacity of double-cylinder system, microfarads/km. 



Cqq" = linear capacity of double-cylinder system, microfarads/mile 



c?= distance of cylinder axis from plane, cm. 



dj^d^ = distances of cylinder axes from plane in double-cylinder 



system with unequal cylinders, cm. 



D^= 2d or interaxial distance between two cylinders in a double 



cylinder system, cm. 



A =0-1 — 0-2 ^ difference in radii of two cylinders, cm. 



8 = current density at a point in the medium, absamperes/cm.^. 



^p= linear conductance of plane-cylinder system, abmho/cm. 



^j,Q=: linear conductance of double-cylinder system, abmho/cm. 



K= specific inductive capacity of medium, 



y^ conductivity of medium, abmho/cm. 



/ = linear current in a system, absamperes/cm. 



L = length of flux paths in rectangular slab, cm. 



m=r'/r, polar ratio, or ratio of vector lengths from poles to 



a point in the medium, numeric 



i/w=a fractional part of the total linear flux, limited by a 



stream line. 



T= 3-14159 •••• 

 r^r' = polar distances or vector lengths from poles to a point. 

 rp= linear resistance of a plane-cylinder system absohm/cm. 

 Vqq = linear resistance of a double-cylinder system, absohm/cm. 



^= linear electric flux in a system, statmaxwells/cm. 



p= resistivity of medium, absohm-cm. 



5"= linear surface area of a conducting slab, cm.^/cm. 



2 = o-^ -f 0-2 = sum of radii of two unequal cylinders, cm. 



o-= radius of a cylinder, cm. 



M= potential of a cylinder, abvolts or statvolts 



vw = rectangular coordinates of points in a plane, cm. 



F= distance factor of a system = cosh-^(c?/o-), numeric 



3;^ = rectangular coordinates of points in a plane, cm. 



y^y^ = 3'-coordinates of points on median line below a cylinder, cm. 



y^y^ = 3;-coordinates of points on median line above a cylinder, cm. 



BIBLIOGRAPHY. 

 Kirchhoff, Dr. S. 

 1845. Uber den Durchgang eines elektrischen Stromes durch eine Ebene 



insbesondere durch eine kreisformige. Poggendorf's Annalcn, 184S, 



Vol. 44, pp. 497-514- 



