of Max weW s Capacity Bridge. 1111 



This theorem evidently applies to the cases illustrated in 

 figs. 1 and 2. 



We can also show that this theorem may be extended to 

 include inductances in the network. 



For, by Ohm's law, 



K 



di 



dL 



pqljpq 



at 



Jm dt 



The initial and final values of 



ipq 



and i rs are the same. 



Hence, by integration : 



K pq g pq = j( E M + V P - Y q )dt, 



and similar equations for all the other pairs of junctions. 



But this set of equations is identical with the set obtainable 

 in the case of no inductance being present. Hence, in- 

 ductances do not affect the distribution of the total charges, 

 and neither, of coarse, do they affect the steady current 

 distribution. 



Experimental Verification . 



The arrangement shown in figs. 1 and 2 was set up (n = 50 

 per second, = 1 microfarad) and "balanced." 



" Balance " was unaffected by connecting the condenser- 

 terminal to a large number of points in the network taken in 

 succession and at random. A difference of 1 in 5000 would 

 have been noticeable if it had existed. 



Another network examined was that shown in fig. 4. 



Fie:. 4. 



&'— 



2 volt^y/^h^O&l henry fS. 



2*3 



A condenser of 4 microfarads made contact alternately on 

 junctions 1 and 4 (?i = 50). The "balance" was found to 

 be unaffected to less than 1 in 5000, as before. 



My thanks are due to Prof. J. S. Townsend for his kind 

 permission to carry out the experiments in the Electrical 

 Laboratory, and also to Mr. R. I. Mincovitch for carrying- 

 out the arithmetical verification of formula (5) as applied 

 to the last experiment. 



