1897.] HOUSTON, KENNELLY THE PATH OF A CUEREXT. 167 



to the generating end. These are again reflected with reversal, and 

 the shortening process continues from end to end until the stream 

 is no longer perceptible. The contrary movement of the tailings 

 is omitted, for convenience, from the diagram. At Ei, these various 

 stages of the stream are indicated by the horizontal arrows. The 

 first is a long arrow e,, representing the outgoing stream of full 

 strength. Then come a pair of oppositely directed arrows indica- 

 ting the passage of the stream on return to AC, with reflection there- 

 from ; then similar pairs of oppositely directed arrows for suc- 

 ceeding returns of the stream, each time weaker and weaker, until 

 finally no longer perceptible. The sum of all these is the first 

 arrow Ci, since all the rest are in pairs which cancel. Conse- 

 quently, the electric flux at E, has the resultant e,, or the full strength 

 and density of issue from the dynamo, as shown at E'l, which rep- 

 resents the voltage or potential difference between the wires at Ei. 

 If the voltage of D, is looo volts, E'l, is 500 volts positive, and E'\, 

 500 volts negative. 



A. 

 D 



O 



■e. 



E', 



eL 



,ie- 



^ a -■ ■|B 



^ > g . ^=^0' 



'K 



Fig. 39. — Distribution of Electric Flux Streams in Conformity with Ohm's Law 

 in a Perfectly Insulated Closed-Circuit. 



Again at the BD end, the electric flux streams are indicated at 

 Eg. First come two opposite arrows Cg, representing the first arrival 

 of the stream and its immediate reflection with reversal. Then 

 follow successive pairs of oppositely directed shortened arrows. 

 The sum of all these is clearly zero, so that the resultant flux den- 

 sity at BD, is zero, and there is no resultant voltage or potential 

 difference. At B'D', therefore, the dotted lines indicating poten- 

 tial fall to zero or join the lines A'B' CD'. 



Again, in the middle of the line at Eo, there is a series of succes- 



