TOKSION AND MAGNETIZATION. 275 



magnetic forces iu a longitudinally magnetized wire traversed by 

 an electric current are 



6C= — li Hill 6, ß= h COS ä, ï = li, 



where h denotes circular iield given by 



, •26V 



C being the current, r the distance of the point from the axis 

 of the wire, R the radius, and the angle between r and the 

 axis of X. 



The stress components in ferromagnetic medium acted upon 

 by the forces above specitied are given by 



-^=-(^ +Ä;+ ^)^'*^^^'^+-^(^ + ^-^') (^^ + ^^). 



z, = -(-^ + k + -^Ç) H^ + |( i- + k -/.')( IP +ir y 



Z, =.Y, =i^_ + /.• + ^^^ h Hsln d, 



X^ = Y, -(-4!- + /^' + ''f ) /i' 6"i d cos 0. 

 The moment about the axis of the wire is given by 



= - JJ (^^i- + k + ^\hllrdxdy. 



I 



