COFFIN. — EDGE CORRECTIONS IN CONDENSERS. 



427 



t = 



t = + x 



x When a = 1, or when we consider the 

 case of two square corners facing one an- 

 other, as in the figure, the equation (e) re- 

 duces to 



t = +l 



9 = 



— v 

 4irh 



x+ - (1 -log 2) 



X- 



X 



t = 



X 



t = — 1 



f — — X 



X 



t = - 1 



< = — x 



X 



When we let « become infinite the ex- 

 pression (e) becomes indeterminate, but by 

 determining its true value we find for the 

 case of a square corner facing an infinite 

 plane, the expression 



t = + x 

 9 = 



v 



4W/ 



2 h , , " 

 ar + - - (1 —log 2) 



These two results check the general 

 solution, as these special cases have 

 been worked out bv J. J. Thomson.* 



As an approximate expression for these cases we may write; 



and 



v ( h 



a = — [ x -\ — tor 



H Airh V 10 



* = - ITS (* + *) for 



ii 



where is used in place <>f h X .0978. 

 10 ' 



Recent lie c.iiclirs in El, & Mng., Chnpt. on Conjugate Functions. 



