56 



Table 32. 

 MUTUAL INDUCTANCE.* 



H 



Values of log , ., — - » 



Table of values of log — ^ — for facilitating the calculation of the mutual inductance M of two coaxial circles of 

 4 nyiia' , (a— a' )^ + 6^\i 



radii a, a', at distance apart b. The table is calculated for intervals of i/ in the value of cos-i J (^_^n2 4. (fl ] 



from 60° to 90°. 



60= 



61 

 62 

 63 

 64 



65° 



66 

 67 

 68 

 69 



70° 



71 



72 



73 

 74 



75° 



76 

 77 

 78 

 79 



80° 



8r 



82 



83 

 84 



85° 



86 

 87 



0' 



14994783 

 5272883 

 5549864 



5825973 

 6101472 



T.6376629 

 6651732 

 6927081 

 7203003 

 7479848 



T. 77 58000 



8319967 

 8604785 

 8892943 



r.9185141 

 9482196 

 9785079 



0.0094959 

 0413273 



0.0741816 

 1082893 



1439539 

 181 5890 

 2217823 



0.2654152 

 3139097 

 3698153 

 4385420 

 5360007 



6' 



5022651 

 5300628 



5577510 

 5853546 

 6128998 



6404137 

 6679250 

 6954642 

 7230640 

 7507597 



7785903 

 8065983 

 8348316 

 8633440 

 8921969 



92 I 461 3 



9512205 



15731 

 0126385 



0445633 



0775316 

 1 1 17799 

 1476207 

 1854815 

 2259728 



2700156 

 3191092 

 3759777 

 4465341 

 5490969 



12' 



5050505 

 5328361 

 5605147 



5881113 

 6156522 



6431645 

 6706772 

 6982209 

 7258286 

 7535361 



18' 



5078345 

 5356084 



5632776 

 5908675 

 6184042 



6459153 

 6734296 

 7009782 

 7285942 

 7563138 



7813823 7841762 

 8094107 8122253 



8376693 

 8662129 

 8951036 



9244135 

 9542272 

 9846454 

 0157896 

 0478098 



0808944 

 1 1 52863 



1513075 

 1894001 

 2301983 



2746655 



3243843 

 3822700 

 4548064 

 5632886 



8405099 

 8690852 

 80144 



9273707 

 9572400 

 9877249 

 0189494 

 0510668 



0842702 



1 550149 

 1933455 

 2344600 



2793670 



3297387 

 3887006 

 4633880 

 5788406 



24' 



5106173 

 5383796 

 5660398 

 5936231 

 621 1 560 



6486660 

 6761824 



703736 



7313609 



7590929 



7869720 

 8150423 



8433534 

 8719611 



9009295 



9303330 

 9602590 

 99081 18 

 0221181 

 0543347 



0876592 

 1 2 2348 1 



1587434 

 I 973 I 84 

 2387591 



2841221 

 3351762 



3952792 

 4723127 

 5961320 



30' 



5133989 

 541 1498 

 56880 1 1 

 5963782 

 6239076 



6514169 

 6789356 

 7064949 

 7341287 

 7618735 



7897696 

 8178617 

 8461998 

 8748406 

 9038489 



9333005 

 9632841 

 9939062 



0252959 

 0576136 



0910619 

 1259043 

 1624935 

 2013197 

 2430970 



2889329 

 3407012 

 4020162 

 4816206 

 6157370 



36' 



5161791 

 5439190 

 5715618 

 5991322 

 6266589 



6541678 

 6816891 

 7092544 

 7368975 

 7646556 



7925692 

 8206836 

 8490493 

 ^777231 

 9067728 



9362733 

 9663157 

 9970082 

 0284830 

 0609037 



0944784 

 1294778 

 1662658 

 2053502 

 2474748 



938018 

 3463184 

 4089234 



4913595 

 6385907 



42' 



5189582 

 5466872 



5743217 

 601 887 I 

 6294101 



6569189 

 6844431 

 7 1 201 46 



7396675 

 7674392 



7953709 

 8235080 

 8519018 

 8806106 

 9097012 



9392515 

 9693537 



0001 181 

 0316794 

 0642054 



0979091 

 1 330691 

 1 700609 

 2094108 

 2518940 



2987312 



3520327 

 4160138 

 5015870 

 6663883 



48' 



5217361 



5494545 

 5770809 

 6046408 

 6321612 



6596701 

 6871976 

 7147756 

 7424387 

 7702245 



7981745 

 8263349 

 8547575 

 8835013 

 9 I 2634 I 



9422352 

 9723983 



5245128 

 5522209 



5798394 

 6073942 

 6349121 



6624215 

 6899526 



7175375 

 74521 1 1 



7730114 



8009803 

 8291645 

 8576164 



0032359 

 0348855 

 0675187 



1013542 

 1366786 



1738794 

 2135026 

 2563561 



3037238 



3578495 

 4233022 



5123738 

 7027765 



54' 



9155717 



9452246 

 9754497 



0063618 

 038 I 01 4 

 0708441 



I 048 I 42 

 1403067 

 1777219 

 2176259 

 2608626 



3087823 



3637749 

 4308053 



5238079 

 7586941 



* Quoted from Gray's " Absolute Measurements in Electricity and Magnetism," vol. ii., p. 852. 

 Smithsonian Tables. 



