THE TWISTOR 



1339 



From (8), the applied energy per wiie length / is 



'[B.,(// - //o) cose] 10^' 



m = 



27r 



7r(r2 - /-r), 



(34) 



where only that part of the applied energy associated with th(^ high 

 drive dynamic losses is included. Ecjuating (33) and (34) and replacing 

 V(0)/l by (27) results in 



- (1 - hy + 



SirBsr^'lO'' 



po(l — a'-) cos d 

 4a(l — b) a 



I 



a 



(1 - a - bf 



2 P2 



Pi 



+ (1 - by - 



4(1 - b) , ]| 



(35) 



+ 



2/- 



This can be expressed as 



s. = {H - m)T. = C.,,J-?^ri}}^ (oe-/.sec). 



P2 COS 6 



(36) 



Bulk axial flux reversal in a composite magnetic wire can be treated in 

 a manner analogous to that used in Section 3.1.1 for the solid wire. The 

 uniform reversal of the axial flux induces a voltage T^(r) in the wire where 



0" - & 



V{r) = V(r.;) 



= 0, 



and FCro) = [(2B./7\)7r/-.>'] 10^'. Since £"(/■) = T^(/-)/27r/-, 



E^r) = I (r - ^Jl)iO-1 

 Following the procedure of Section 3.1.1., 



TsiQ-" r By ( nX- .^ , 



(37) 



_ J2BsWlO 



-16 



\ P2T, 



L I - a'- 



In a) 



(38) 



where a = ri/r-2 as before. Equating this expression to (8) yields 



tBsiVIO^' Vl - 4a'-' + a'(3 - 4 In a) 



pi cos 6 



^^ v.' axial 



( BsrjlQ -' 



\ p2 COS 6 



1 - a" 



j (oe-Msec). 



(39) 

 (40) 



