( 687 ) 
E 1 dV, 2 aT dlog A, 4 a dT 
a en da je Sd 8 e‚ dx 
(53) 
fae legis 2 aT dlog A, Aerde 
ES e, de nes da She, de 
If the area of a normal section is again denoted by >, the inten- 
sities of the partial currents are given by 
tO (Ht), On (Ea eMart | (OA) 
and that of the total current, on account of (49), by 
(= tt, = (@ Bo, 0) TE ce (85) 
Putting 
6, Ox, 
oer ’ Tat 
0, 
é : 1 5 : 3 0. 
i, =), + — (©, — EE) >, =d + *(E, — E,) =. 
5 5 
It appears from these formulae that, whenever E, differs from E,, 
the partial currents 7, and 7, will not be proportional to the conduc- 
tivities 6, and o,. 
§ 19. The above results lead immediately to an equation determining 
the electromotive force /’ in an open circuit composed of different 
metals, between which there is a gradual transition ($ 6) and which 
is kept in all its parts at the same temperature. Let P and Q be 
the ends of the cireuit and let us reckon 2 along the circuit in the 
direction from P towards Q. 
The condition for a stationary or a quasi-stationary state is got 
by putting 7=0 in (55). Representing the potential by , so that 
we get 
de 7) 6 
Se ei Meee. 2 86) 
da Oo 0 
and finally, taking into account the values (53), in which we now 
dT 
have == 0, and integrating from P to Q, 
av 
Q Q 
1 he deo SLR 
PDP =P = = y == igs 
Pa Pp ey 6 dr , ey o dx = 
Je P 
