Vol. Ill, No. 7.] Magtietic Induction in Spheroids. ^SS- 



[N.S.] 



2n-B 



— li»-2 + 



l.(»-l) 



,Xn (saj), 



• -0 



In the particular case of ?i = l, 



2\^V^;jri dr=Q, ^7^^-\-^:=dr 

 dr J ^r^ - 1 



Qiv/r«-l-i I log 



IV^^ 



Q.^^ + .[^^3^^ J^ 



2n-2 

 where (2«-l) A2» =2 | pn-2-^ ^ _„ j?b-a+ . . 



and (l-a;«)-' = l + 2)2«' + i'4,a!*+ .... 



Similarly, \q» v^r^-J rfr=i \P« log ^ y/^i*-i dr 



1 



%i ~ 1 



. .]v/ 



P«-i+ . . K/r»-l ir 



V»log^ + — ^[(2n-l),/,_i+ . .] 



2u~l _ 



1 . n 



and A + ?U "-^- (^-D* d 



dlh 



dr 



Q^(,.»_l)f_3Q,I,_,log*"^^ 



1 



f 2n-3 - ) "I n + 3 ._ 



Cl.(n~l) * ) J n + 1 



n 



(say)^ 



Q 



Moreover, IQo'V'*--! ^r + i^l '~~7\ 2~| ^ 



