ELECTRIC CIRCUITS 



125 



(c) The current in the circuit at any frequency is 

 E E 



E 2 =IX =500VolU 



L=0.1 Henry 

 R=10 Ohms X= 37. 6 Ohms 



.E= 200 Volts 



I = 13.3 Amperes 



E 3 = IXc=860Volta 



FIG. 95. 



If E is maintained constant at 200 volts and / is varied, I varies. 

 1 



When/ = 0, 



oc and 7 = 0; 



'27T/C 



when/ = oc, 2irfL = oc and 7 = 0; 



when 2 irfL = 



1 



27T/C 



or/ = 



1 



2 X 3.14^ x 100 



= 50 cycles 



the current has its maximum value 



E 200 

 /max. = ^> = -JQ- = 20 amperes, 



and is in phase with the impressed e.m.f. 



The e.m.f. consumed in the resistance is 



Ej. = IR = 20 X 10 = 200 volts; 

 the e.m.f. consumed in the inductive reactance is 



E 2 = IX = 20 X 2 X 3.14 X 50 X 0.1 = 628 volts; 

 and the e.m.f. consumed in the condensive reactance is 



1 



E, = IX C = 20 X 



100 



2 X 3.14 X 50 X 



= 628 volts. 



