Question

An AC generator provides power for the circuit shown below. The generator voltage is described by E(t) = Emar sin(ut) where E = 120 V. Here, L = 640 mH, C=160 MF, R=9012, and w = 40 rad/sec. R m C L E 1) What is the phase angle between the generator and the current? =-55 degrees = 1.1 degrees Oo=64 degrees o= -16 degrees = -0.99 degrees Submit 2) This circuit is being driven at: a frequency above its resonant frequency a frequency below its resonant frequency O its resonant frequency Submit 3) At time t=tı, the current in the circuit is zero. What is the magnitude of the voltage across the capacitor at this time? Vcl = 120 V Vc = = 0.0048 V Vel = 0.0085 V OVcl = 0.03 V = 19 V Submit O Vel 4) At resonance, the average power delivered by the AC generator is (P) = 80 W (P) = 160 W (P) = 45.4 W Submit

Answer 1

Emax eiwt T C) emf equo of given circuit , a Elt) ir + +4 di مع & max sin (wt) 30, i =Idi mo 9 = Vide Im (Emar egust) e out imax eiwt Emax eiwt + 6w li from ) i R+ swc => 1 - ܢܐ 0)6 impertence, 2 civ) R +ó (WL- Yuc) R+ :). From complexe algebra, Z=171 ejo, 1212 = R? + CO2 wc) tan civi where WC wL R 40 rad/ see. here R = gor 3 H ม 640 mH = 640 X10' 160 HF = 160 x10-6 C j(wE - ) Emar e 12/ enca 15. blw, current and generatro ie.pdase differ Lere, tant (40X640X10-9) - 140x160 x10-6) 90 14 550 Answer

♡ equo dii) gives, 11 2 сос 12/ - [Re + (wc at resonance freq. im pedence minimum and vanishes 17 1 min at Whe ac who we freq. - resonance > 1 W. ſuc wa zee -1 here, V W. 640X40-3 x160x10-6 98.82 sec al- above its resonante freq frez the circuit driven .. (Answer).

capacites at that Currenk through capace to becomes dero. According to definition Current flows through higher potential regim to lower Kere, current does not flow. je., (potential ac7065 capacitor) = (potential of Bource) magnitude of the voltage I vel = 120 V aco TOSS time t=ti is Answer Power through a cirant, < <vx<I). at resonance, 12/ -R So, {I} Lv R <py = <vy? ... resonance power, Lere, <uy=&= 120v R =9012 1202 5. <P> - => KPy=100w Answer W 90 of AC generator at resonance, power