AUeimate Current TransforTrier. 47 



OP gives the distribution of M.M.F. in the different sections 

 due to C.^. 



Thus if the M.M.F. round the Central section O, that is 



iL_5, be called 7/1.2, 



I 



the M.M.F. round the magnetic circuit 1,1', is fn^, 



the M.M.F. round the magnetic circuit .3, 3' is 3;/^,, 



and so on, so that the ordinate of OP opposite any odd section is 



proportional to the number of the section. Ajid it is easily seen 



that the mean ordinate of OP opposite any even section is also 



proportional to the number specifying that section. 



The flux per unit length across the window at any point in 



OQis 



=M.M.F.-^' 

 2D 



and it fn-iY) ^■^- • — 7)^^/2 



it is easy to see that, due to C.,, 



the total flux round the circuit 1, 1', is fj?-y 



2 2' is ^fh 



55 55 55 55 55 55 -"5 -^ 5 '* -'Jiyi 

 55 55 5) 55 55 55 "^5 "^ 5 ^^ ^JP\ 



and so on. 



iyd) The energy of C2 due to the leakage lines it sends through 

 the even (its own) sections is, as we neglect the reluctance of the 

 iron, the same as if the odd sections were removed and the even 

 ones pushed up together. 



By § 44, (I.), this energy is 



= g ~=Q «2^C/. (I.) 



The energy of C.^, due to the leakage lines it sends through the 

 odd sections, is, by aid of Fig. 7, found to be 



=^D" -p~ ^^ 6 (^^•) 



This follows easily when it is noticed. Fig. 7, that the flux ^/^d^ 

 (for instance) round 3, 3' is looped on three even sections, i.e., on 

 the current Sn^C^/i, and similarly for the others. 



