Resistance of Compound Conductors, 

 • Table I. 



499 



9. 



Qi(G). 



Q 3 (0). 



Q 6 (0). 



Q 7 (0). 



90° 



•ooooo 



•ooooo 



■oooo 



•oooo 



80 



+ -17365 



- -24738 



+ -2810 



- -2834 



70 



+ -34202 



•- -41301 



+ -3281 



- -I486 



60 



+ -50000 



- -43750 



+ -0898 



+ -2231 



50 



4- -64279 



- -30022 



- -2545 



4- -2854 



40 



+ -76604 



- -02523 



- -4197 



- -1006 



30 



+ -86603 



+ -32476 



- -2233 



- "4102 



20 



+ -93969 



4- -66488 



+ -2715 



- -1072 



10 



+ -98481 



4- -91057 



+ -7840 



4- -6164 







+1-00000 



+1-00000 



+ 1-0000 



+1-0000 



From these the values of (19) were computed. They 

 are shown in Table II., together with the sines of 0' and the 

 differences for each step of 10°. 



Table II. ct='25 & 



°- 



0'. 



Induction. 



Diffs. 



Sin 0'. 



Diffs. 



■ 90° 



0° 



•oooo 





•ooooo 





: 80 



10 



•0769 



•0769 



+ -17365 



•1736 



i 70 



20 



•1538 



•0769 



+ -34202 



•1684 



60 



30 



•2304 



•0766 



+ -50000 



•1580 



50 



40 



•3058 



•0754 



+ -64279 



•1428 



40 



50 



•3786 



•0728 



4- -76604 



•1232 



30 



60 



•4460 



•0674 



4- -86603 



•1000 



20 



70 



•5029 



•0569 



+ -93969 



•0737 



10 



80 



•5416 



•0387 



+ -98481 



•0451 







90 



•5559 



•0143 



+1-00000 



•0152 



The column headed Induction gives the value of 



iQiW +3^ % • I Q.W + ^ U p Q.W + 



It will be seen that for moderate values of & the differences 

 are very nearly constant, far more so than the differences of 

 sin 0', which latter would apply to the induction on the sup- 

 position of a very small interior coil. The results of the ex- 

 perimental calibration are thus confirmed and explained. 



An inspection of the table suggests that the proportionality 

 to 0' might be improved yet further if the value of c 2 /c 1 were 

 a little increased. The following numbers calculated for a 

 twenty per cent, increase of cl/c\, viz. for c 2 = '54772 c u con- 

 firms the idea. Such a proportion, applicable to the mean 

 radii of the coils, might well be designedly chosen. 



