﻿612 Prof. 0. W. Richardson : Some Applications 

 whence 



+ Rlog [n./jV"^] --^logg,) = 0. 



Thus 



«r^-^ + BlogK-^ B - 1 logtf = A, 



where A is independent of 0, and K = ?i-fj*^ "l^dr is a 

 function of 6 but is the same for all substances. Differ- 

 entiating by O , we have 



This equation is consistent with (24) since w — a) — J by 



(36), logK = logv+||by (28 6) and B0»|j =»(«,- J) 



by (37). For the thermo-electromotive force T of a circuit 

 we have 



T = P<,- P, + f (o— er,) 



J 00 



^: 



Thus, in virtue of (17) and (21), since K is independent of 

 the material, 



rf<9, (41) 



)' T T 



6 



and the thermoelectric power of the circuit is 

 ^T 1 J 1I -J £= P 

 30 * (9 { ^ } 



(23) is derived from (22) by differentiating by 6 r and 

 dropping the suffix. 



Since v = Ke~ to,1Re we have 



f ^{neiogK-miogv} dr 



j 3 =^ — 



= R01ogK I vlogvdr 



gK--p r log 



y. . (43> 



= R<91o 



dr 



