110 



and 



Mr. L. Schwendler on the General Theory 



m 



w 



S'=E''^'-^+e^'.. . 



(IV.) 



These two expressions are quite general; i. e. they do not as 

 yet contain any restrictive conditions (beyond those involved by 



v i" 



K, telegraph-key of peculiar construction, to be described hereafter. 



g, the receiving-instrument connected up in that branch of the bridge 

 which, when measuring resistances, would contain the galvanometer. 



a, b, and d are the branches of the bridge. 



/, the resistance between the rest-contact of the key and earth. 



w, an additional resistance to be inserted in the battery-branch, for rea- 

 sons to be given further on. 



i, the resistance of the resultant fault ("real absolute insulation " of the 

 line) acting at a distance V from station I. and at a distance I" from sta- 

 tion II. (both V and I" expressed in resistances so that l'-\-l' = l equal the 

 " real conductor resistance " of the line). 



the mode of arrangement of the system of conductors) between 

 the different variables ; and the signification of the abbreviated 

 terms can be found from the First Part*. 



* For convenience of reference, I shall give here all the terms of which 

 use will be made hereafter. 



n = b{a+d+g+f) + {a+g){f+d). 

 m=b(g+d)+d(a-\-g). 



*=&(«+/)*«(/+«*). 



*=b( 9 +d)(a+f)-frag(d+f)+fd(a+sy. 

 These expressions have been obtained by the application of Kirchhoffs 

 rules to the bridge arrangement as represented in the diagram ; and they 

 are quite general, as no other relations beyond those represented by the 

 diagram have been introduced as yet. 



