456 LIVING TORPEDOS IN BERLIN. 



in the preparation the strength otEX/K. Therefore the polarisation 

 induced (as the transverse section = 1) is (P Yl)E\/K, and the 

 branch current which originates in consequence in the column 

 current [(P U)E\/K] x [A/Z]. As in this circuit P and E 

 are in the same direction, we have 



/ A 



As in the galvanometer circuit P and E counteract one another, 

 we have 



1' and i f are obtained respectively from 7 and i, by making 

 P = o and by transforming w^T into w'JST'. Accordingly 



By observation it is known that i < i', I> I', thus we have the 



inequality ., 



/ z>2 /, or 



The first question now is whether, according to our surmise, this 

 inequality is fulfilled by w' > w when P = o, which would imply 

 irreciprocal resistance in the preparation without absolutely positive 

 polarisation. Certainly this is the case. If you make P = o, and 

 for the sake of shortness A. -f / = a, A + = y3, the inequality may be 

 written thus : 



(w f w)[(/3 2aT])((3 + a(w' + w)) + aw r w]>o. 

 For this condition is satisfied by w'>w, so long as the quantity 

 within the square brackets does not become negative. This can 

 only happen if the constant IT of negative polarisation exceeds 

 a certain value, which is for the moment of no interest to us. 



Now, on the other hand, it may be asked whether, according to 

 the other part of our surmise and the conclusion we arrived at 

 prima facie, the inequality may not also be fulfilled when w = w', 

 when P is not = o as above, but of finite positive magnitude. 

 Inasmuch as^it is obvious that the inequality (*) holds good so 

 long as P > o, that is to say, provided that homodromous absolutely 

 relative polarisation exists, the phenomena may present themselves 

 just as we observed them even without irreciprocal resistance. 

 Thus we have arrived at no conclusion ; the predominance of the 

 homodromous current can be explained as well by positive polarisa- 

 tion as by irreciprocal resistance. 



