Multilayer Coils with Square and Circular Section. 983 



In the plane of z, the real part of any monogenic function 

 of u+jv is a solution of Laplace's equation 



yv.yv 



Fig. 11. — Distribution of the parameter v on the square. 



v-- 



* 





T 



v~o 

























K- 



7T 





\ 



*-* 



In the case considered, V must vanish at infinity and 



must be —tt~ — at the surface of the coil, i. e. at u-=0. 



2 a at 



But by (25), atu = 



r ,A[«.(. + -g-> L , s _ x 4J J- (26«) 

 It is clear then that 



- 2 fre-c- 1 * l ■ , L J • (27) 



is the solution required because it degenerates into — a "J* 

 for w = in virtue of (26), because it vanishes at infinity,. 



