488 OHM ON THE GALVANIC CfRCUlT. 



and we hence obtain by integration 



S^ = C^ + x'^ «;2 |3' *^ 



where c represents a constant remaining to be determined. If 

 we designate by m' the smallest absolute value which u occupies 

 in the circumference of the circuit, and by S' the corresponding 

 value of S, and determine, in accordance with this, the constant 

 c, we obtain 



It may easily be deduced from this equation, that the cun-ent of 

 a circuit, which is influenced by the atmosphere, is weakest 

 where the electroscopic force, without regard to the sign, is 

 smallest, and that it is of the same magnitude at places with 

 equal but opposite electroscopic forces. 



APPENDIX. 



ON THE CHEMICAL POWDER OF THE GALVANIC CIRCUIT. 



On the Source and character of the Chemical Changes in a Gal- 

 vanic Circuit, end on the Nature of the Fluctuations of its Force 

 dependent thereon. 



30. In the present Memoir we have constantly supposed that 

 those bodies, which are imder the influence of the electric cur- 

 rent, remain unchangeable ; we will now, however, take into 

 consideration the action of the current on the bodies subjected 

 to it, and the alterations in their chemical constitution thence 

 resulting in any possible manner, as also the changes of the 

 current itself produced by reaction. If what we here give 

 does by no means exhaust the subject, nevertheless our first • 

 attempt shows that we are advancing in this path towards im- ii 

 portant conclusions respecting the relation of electricity towards [ 

 bodies. jj 



To proceed on sure ground, let us return to what has been| 

 enounced in § 1 to 7? and connect our present considerations li 

 with those expressions and developments. We will suppose, (t/ 

 therefore, two particles, and designate by s their mutual di-it 

 stance, by u and u' their electroscopic forces, which we admitJB 

 to be of equal intensity in all points of the same particle ; then. If; 

 as may easily be deduced from what has been previously stated,: 



