ELECTRIC CIRCUITS 



and the susceptance is 



139 



The power factor of the circuit is 



COS <t> = COS (0i 02) 



= cos 0i cos 02 + sin 0i sin 02 



The power consumed in the circuit is 

 P = EI cos 



= ejt'i + 



(196) 



and is the sum of the products of the components of the e.m.f. 

 and current which are in phase. The products of the components 

 of the e.m.f. and current which are in quadrature, namely, e\%i 

 and eziij do not represent power consumed. 

 The power may also be represented as 



p = p r = eiii + eziz, 

 or 



P = E*g = eiii + ^ (197) 



t / wvw v ^nnw^ i 



- Ei ^ 



* ^AA/ V diQflQQfly 



r 2 



FIG. 105. 



86. Examples in Rectangular Coordinates. (1) Find the cur- 

 rent in the circuit in Fig. 105 in terms of the impressed e.m.f. and 

 the constants of the circuit. 



E 2 = 



E = 



