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Problem 3: [5 Marks For the circuit shown in the following figure below: it) 522 5 mF 50cos(2007+20) 412 le 10 mHvít) 312 a) Find i(l) and vc). b) Determine the average power delivered to 522 and 32 resistors. c) Determine the complex power supplied by the source. Problem 4: [5 Marks] In the circuit shown in figure below, device A receives 4 kW at 0.6 pflagging, device B receives 2 kVA at 0.5 pf leading, while device C is inductive and consumes 1 kW and receives 500 VARs. a) Determine the power factor of the entire system. b) Find I given that Vs=2402450 Vrms. V B

Answer 1

누 듯 CH) t 59 J2 에두3 4 0 500os(Cotess) 5028 X = oL : 200v Noxid - 2.9 Xcs ㅗ WC 20045 kel at Node.lt 50120 = 0 5 50120 + 11 + 1 3-J 5 AS 0 - jo.5 + 3+ J t02 10 Tors-jo5 야 020 . fo. 15 - Jo 4 ] - folzo 0 : 10120 0-75 -J0-4 0120 085-28.01 Ni = \l. 3648-01 이

U, x 3 Ult) {vollage chividual suhe 3-ji 11.76/48.07x3 102-18.43 V11) =) 3.528466.5 14) = 3.598 Con (2001 +6650) 50120-11.7614807 ild) = Vs-lilt) 5 46.98+j17-1-7-858-38.75 -) 5 39.122 + 38.35 5 ilt) - 7.8273167 ilt) = 8 (12.05 ilt) = 8 Com (3004 +12.050)

58 renist? Power Consumed by 3r resista Power Consumed Pora Pons = 16ow lima R X5 52 P32= Vimo le 13.528)?|3 P32=2.0761 Source Complex Power supplied by S: VI* =) S 20 MG Los)* -> 200 20-125 20017.50

Total reactive Power Q1 = Qnt QB tQc -5.33+(-1.732) +0.5 Qt = 4.09 kvar p.b = constant ( /pa)) ( 4 ] PG=0.896 laga ::cos Itaño ② lie have PtUI cong 6x103 = 240x180:826 I = 30.26 A Q : tan' ( 84164) - toni ( 4 ) = 34.180 de angle blo ve I D-0 ? = 34.2805) Q1 = 4,-34.28•

& 45-34.28 는 QI こ 10.720 Q angle of current I T = 36.26 (10.720