120 SINGLE-PHASE CURRENTS. [Exp. 



= L'vI, the resistance and reactance of this equivalent cir- 

 cuit are computed as follows : 



' = 0(7' -T-J; 



53. For any number of parallel circuits, the total current in 

 phase with E is 2<I cos ; the total quadrature current is 21 sin 0. 

 Hence 



1= y (S/ cos BY + (27 sin 0) 2 . 

 Dividing by E, we have 



The total conductance of a number of parallel circuits is the 

 arithmetical sum of the separate conductances; the total suscept- 

 ance is the arithmetical sum of the separate susceptances. (Com- 

 pare with 20 for series circuits.) 



APPENDIX I. 

 CIRCUITS WITH CAPACITY. 



54. It is not intended in this experiment that tests with capacity 

 be included, the following summarized statements concerning capacity 

 being made for reference and for comparison with the relations 

 already discussed concerning inductance. 



55. Circuits with Resistance and Capacity. In theory, circuits 

 containing capacity (C) can be treated exactly the same as circuits 

 containing inductance, if the following differences are noted: 



Inductive reactance = Lw ; current lags behind impressed electro- 

 motive force. 



Capacity reactance = I -f- Cu> ; current is in advance of impressed 

 electromotive force. 



In either circuit, tan = X -f- R. 



All diagrams for inductive circuits can be applied to capacity cir- 



