'Vol. Ill, No. 7.] Magnetic Induction -in Spheroids. 449 



(l-/x«) dn=\nP«-i y/l-fi* dfx 



dfi 



«M^n v/l-M^ ci/i (2) 



.'. from (1) and (2), we have, 



+ 3 \v^l_^8. pn-X dtl . .,. . A 



similarly, -LL \ ^ (,8_i) j^ = Q^ (^9_i) 



W 



3 \(2«-i \/r»"l dr . , . • B 



w 



n J dr Jx^r*- 



c 



<?r . . . . D 



Q^ standing for Qn(r). 



9. It is, therefore, necessary to evaluate the following 



integrals : 



(1) IP, >/,*«- IJ/x ^ J (.say) 



■'(-5 



(2) \~r-=df. =_,/.. „ 



(3) l-T-^-i 



(1) 



(*) I Q. >//• - 1 * . 





^'*'-^' ^•'^'^'^•J 



