1889.] Conductors in the Neighbourhood of a Wire. 3 



H = *<**+J^EJ (iw')+— in the wire, 

 ip dz 



— e^+fO(FJ (^r) + GI 0/cr))+— in the dielectric sheath, 



_ e i(mz+P<)LI (mV) + -^- in the outer conductor; 

 ijp dz 



where 



n 2 — m ^_] ^— , K l = m* 5 — ^jr , n 2 = ra*H £ — , 



v being the velocity of propagation of electrodynamic action through 

 the sheath, /i and ji the magnetic permeabilities of the wire and outer 

 conductor respectively, and v and v constants. 



F = ^X_|_Z_^"1 



dx ijp dx | 



in the wire, 



G = &-f~!L^ I 

 where X = — e^+^EJ^mr) ; 



dx ip dx 

 % f dy. 



y in the dielectric, 



where x ' = e^+^(FJ (<«:r) + GI (W)) ; 



K 



and f — ^1 



}> in the outer conductor, 



where x " = ^LI (mV). 



From the continuity of at the surfaces r = a, r = b, we have 

 AJ (iqa) = BJ (iq a) + CI (iq' a) 



DI (« 2 "i)=BJ (« 2 '6) + OIo0 2 '6) ' 



b 2 



