Conducting Sphere on Magnetic Induction. 171 



Hence when kr is large, 



fjkr) = (kr) -<»+" | P, sin (ir+^+Q, cos (kr + !^\ 



. _ , (n-l)«(n + l)(n + 2) , 



where P =1 — ^ ' \ ( CT V '- + 



n 2 I (zkr)'- 



n _ n(n + 1) («-2)(w-l)w(w+l)(n + 2)(n + 3) 

 ^' l ~ Mr ~ 3!(2&r) 3 



the real part of k is to be positive, therefore # = (1 — C)k x . 

 Let kr be so large that we may take 



therefore 



(n-l)n 



1- 



=ze 2 kr 



f n -\{kr) _ "t t 2i£r 



/»(>') 1 _ n(n + l) 



\ fArr / 



•■ (» + !)«. = |1 2^a~ + t 2^a [""*.- 



/a\ 2B+l 



.-. na n -(/i+i)/-) a/ 



/"aY*+ V(2n + l3 hj~ 



%- / 2^a j 



= nft„f n (cos £ n — tsin£»), 



