THE LINEAR RESISTANCE BETWEEN PARALLEL 



CONDUCTING CYLINDERS IN A MEDIUM 



OF UNIFORM CONDUCTIVITY. 



By a. E. KENNELLY. 



(Read April 24 1909.) 



It is the purpose of this paper to present formulas and tables 

 for the computation of the linear resistances, conductances and 

 capacities between parallel cylindrical conductors, or between a 

 cylindrical conductor and a parallel indefinitely extending conducting 

 plane. As is shown in the appended bibliography, the problem is 

 by no means new ; but the mathematical mode of presentation, and 

 the arithmetical tabulation, here offered, are believed to be new. 

 It is hoped that these will be useful to students of electrical engi- 

 neering. Antihyperbolic functions are the natural vehicles of ex- 

 pression adapted to this problem. 



Infinite Conducting Plane and Parallel Cylinder. 

 Linear Resistance. — Let a uniform conducting cylinder of radius 



D 



Z O Z, 



Fig. I. Section of a conducting cylinder DEF parallel to the indefinitely 

 extending conducting plane Z'OZ. 



a cm., shown in section at DEF in Fig. i, be situated at an axial 

 distance d cm. from a parallel indefinitely extending conducting 



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