Multilayer Coils with Square and Circular Section. 987 



00 



where X 1 is extended over all values of s u s 2 with 



s lt s 2 =\, 2, 3 



the exception of the case when 5j = 5 2 . The integrals in 

 this expression are all of either of the types : 



2 2 



jj^cosMr + j)^, L cos 2 {(4o--l>-~}^, 



^2 V *^ 2 



/»27T 



Jsjr COS^+~]cOs|(4s-l>-|"}^, 



J^ cos {(4 5l -l>-|} cos j(4j,-l>- j } rft;. 



2 



For these, direct integration gives 



r 27r 



r 27r 



L cos*{(4*-l)t>-£}<fo = f-g^, 



^2 

 p2TT 



J35 cosj(4* 1 -l>-^}cos{(4* 8 -.l>-j}rft; 



4s 1 + 4s 2 — 2 



