Conducting Sphere on Magnetic Induction. 

 T d = the component in the dielectric. 



169 



K s = '~ a + e-b + -c. 

 r r r 



m da; , du dz 



T,= a— + b-^ + c T ; 

 ds ds ds 



and similarly for R d and T<*. 



Hence from (7) and (8) we find, after some reductions, 



* (n + !>'/* 

 K g = — f n {kr)co n 



1 



tp 



R.= - Ua- (n+i)Q rvl 



T. — J{A. l( *r) + V.(*r)}^ 



(9) 



J 



The values of P, Q, R in the sphere are given by (5), 

 their values in the dielectric may be found from (6) and (8). 

 We obtain 



Let 2 4 be the component of P, Q, R tangential to the same 

 curve as before in the sphere. 

 Xd the component in the dielectric. 



dx civ dz 

 Let -j- n -j- n -j-j be the direction cosines of a curve per- 

 pendicular to both the radius vector and the curve 

 ds. 



dx dy 



dz 



*jj+y±t+ z jj= 



dx dx dy dy dz dz 



ds ' ds' ds ' ds' ds ' ds' 



