Conducting Sphere on Magnetic Induction. 175 



Therefore 



^(r)'p.'(.)B.W]; 



Let the radius of the sphere become infinite, the sphere 

 becomes a plate, and we must change from spherical harmonics 

 to Bessel's functions. 



Fiff. 2. 



/ 

 sina = -. 

 c 



Let BC=d, 



BM=*, 



sin e= 9 -, 



r 

 Let n =\r, r = \c, 



where X is to remain finite when n, r, and c become infinite. 



a=c— d, r = c—z ultimately; 



C 



2H + 1 -2K(d—z) 



= e 



■= e" 



Xr 2 



P„(0) = J o (Ap); P„'(0) = — JxCX/b); 



