154 



KENNELLY— THE LINEAR RESISTANCE 



[April 24, 



cylinder system, after the latter has been analyzed into two asso- 

 ciated plane-cylinder systems. 



Two Unequal Parallel Conducting Cylinders. 



Let two parallel conducting cylinders, with their axes at QCg, 

 Fig. 5, have unequal radii a^ and a^ cm., and be separated by an 

 interaxial distance D cm. If the radii were equal, the midplane 2's 

 would be the plane of zero potential, when the potentials of the 

 cylinders are equal and opposite. The zero-potential plane is, how- 



OTT 



Fig. S- Two unequal parallel conducting cylinders at interaxial distance of 

 D cm. showing the displacement of the zero-potential plane. 



ever, displaced from the larger towards the smaller cylinder through 

 a distance of 2A/2Z? cm.; so that: 



2D 



^. = ^ + 



«'„ = 



D 



cm. 



cm. 



(38) 



2A 



where ^ = a^-\-a.2 is the sum and A = 0-1 — ag is the difference of 

 the cylinder radii. 



