M. A. F. Sundell on Galvanic Induction, 291 



5=0. The result of the calculation is 



or it r 1 3.5 I 1.3 3.5.7.9 _1 



2*v/« L + 4* 2.4* a 2 + 4. 6* 2. 4. 6. 8* a 4 

 1.3.5 3.5.7.9.11.13 1 / "1 

 + 4. 6. 8* 2. 4. 6. 8. 10. 12* u 6 + [ "J* 



In calculating the values of A by this formula,- the terms have 

 been determined to four decimals. The more the value of a 

 exceeds unity, the more rapidly does this series converge. Ge- 

 nerally 4 or 5 terms were sufficient. Only for values of a very 

 near unity was it necessary to calculate 6 or 7 terms besides the 



first. A, is found =0*7079 .-; in this value are contained the 



first nine terms of the series. The results of the whole calcula- 

 tion were the following : — ■ 



Series 1. R = 21'7, K t m 7'1, mn = 1581, / = 87, and 



i=tanl5°. 



Ji. 



J. 





Difference. 



2>« 



c 

 Calculated. 



Observed. 



1-5. . 



49-74 



176-7 



176-0 



+ 0-7 



10 . . 



49*59 



128-3 



127-4 



-hO-9 



15 . . 



49-91 



93-4 



93-3 



+ 0-1 



20 . . 



50-05 



66-0 



66-1 



-0-1 



25 . . 



50-16 



46-6 



46-8 



-02 



30 . . 



50-65 



33-3 



33-8 



-0-5 



40 . . 



49-53 



18-1 



17-9 



+ 0-2 



Mean . 



49-95 









Series 2. R = 



U 1= =21-7, mn = 992 

 J. 



T - . A 



, /=59, i 



md ?"= tan 14 c 



Difference. 



«?. 



Of 



Calculated. 



Observed. 



20 . . 



51-86 



186-4 



184-3 



+ 2-1 



25 . . 



52-55 



133-9 



134-2 



-0-3 



30 . . 



53-43 



98-5 



100-4 



-1-9 



35 . . 



53-27 



74-0 



75-2 



-1-2 



40 . . 



53-24 



56-7 



57-5 



-0-8 



50 . . 



52-87 



34-8 



35-1 



-0-3 



60 . . 



52-19 



22-6 



22-5 



+ 0-1 



70 . . 



51-84 



15-4 



15-2 



+ 0-2 



80 . . 



53-11 



109 



11-0 



-0-1 



90 . . 



52-26 



7-9 



7-9 







100 . . 



50-29 



5-9 



5-7 



+ 0-2 



Mean 



. 52-45 









U2 



