REDUCTION OF SiQN EFFECT LOSSES 



527 



From equations (II-9) and (II-lvS) we clearly have 



£0 



^^ J?. 



ih 



= R 



(B-4) 



OL 1 i~ 1/ 



where i? = — and as = . It is easy now to obtain the characteristic 



equation 



R R -\ -\ 



r 0-10 



0^0-1 



= 



(B-5) 



Fig, 17 — Transmission line completely filled with laminations. 



After expansion and use of expressions (B-1), the characteristic equation 

 is found to take the form 



coth {N In j8) = 





(B-6) 



which can be written, using the relation hi ^ = ay,{W + /), 



2 sinh ay:{W + /) coth {2da^) = RTn + 4 ^21 



K 



(B-7) 



Let us now assume, as in Section III, that | ^t \ and | tiW \ are much smaller 

 than unity. Equation (B-7) can then be written 



; {laj) coth {2a^d) = - (j|^^) (««^) 



( 



2(P+ l)+i^(3P+ 1) 



©') 



(B-8) 



