Question

13-17. The figure shows the variation of the magnitude of the current with o for an RLC series network with an applied sinusoidal voltage of constant magnitude. From the figure, determine the locations of the poles and zeros of the admittance of the network. Frequency response of RLC series circuit 1.00 L R C 0.80 090 0.40 0.20 50 40 30 20 10 Frequency in cycles/sec. Fig. P13-17 60

Answer 1

C /Ams Vi m the loup KVL Vin (SJ-I RE SLICS) - 1) SC VimCS) IeR+SL+ S C Vin CS)I SLC+SRC 1 11 SC Sc 1 = Y(s) (S LC+SRC + 1 ZUS Vim C$) NY 1 D T R 1 LC SE-R 4 LC 1 R 12 + S LC L. R12 S 가 +K 9 L S R LO www.nom ou

1II 45 35Fw. 25 8.W A8 we Kmou fr Setes RLC Circuit re bonunt fruaminy 1 rael Sec - NLC o=35 Yadfec from the Jeven freguamey resp 35JL 1 LCニ (35)2 &-1632x16 finen frquary Bamdluidtn (Lw) for Sedes RLC frem 1 B W ニ he LR BW= W- sponce =45-25) mdH bec 20R

35)-1225 LC 1 W- 20 Td&eu L LIR 20 1225 LC AS We have obtam ad mittance enprelllo uniun gvem at 1L $ S+R 2 2 R + 2L 2L LC 2L 27 R Volue of ing Now the enpreldlon YCSJ= 2012 Zo 122S 1225 1/L$ +Fu2s(Stlo-25) 1/LS YEI = Stlo+/u25)($+10-)Nu25) Now Locatiom of Pole 2eros for the dmilbaMce of Seve& RLL Pole S=-Io-idu25,-l0+idiz5 ZeYo-

Pole Sko -33.5 10 +33 S4 NJao Cimung) 2ems 2 X j33 5y 4Real i33-5y