Question

All components are ideal resistors, ideal inductors and ideal capacitors. When the assignment mentions ohm talking about inductors and capacitors, its reactance values. The circuit shows two impedances z1 and 22, impedance z1 is equivalent for two components in series and the impedance 22 is equivalent for two components in parallel. a) Write Uzi, U2 and I on polar form. b) Draw Us in the diagram (next to the circuit I sent). c) which component types is z1 equivalent with, reason the answer. d) What is the values in ohm, to the two components in c, show the calculations. U U 0 Z Uz:

Answer 1

Assume datas as follows Note : = 200 2 ,R2 R = 1002 nalo L = 15mH e = 200 MF f = M=106 k: 103 6.0 HZ vs 120 V / Z jх, twinm Ri jsibsn Is X = 2ifh 1002 R21 Zz - 2760 lsmi V 120v 60Hz jxcl -113-2676 I -5.65 s Xco I 25fc 2 I я бока Ф40 otros . 13.267 2 jXc tite Za Rg X- ar R, R2 tegxc) 2,= 100+ g 5.65 a Rectangular form (ory | 100%+ 55.652 Ltan" (36) (Ov) 100.16 L 3.23' 2 Polar form 200 * (-; 13.267) 22 ago ; 13.267 -1 2653.40 200 - 1 3.40 7 2 0.87 Reetenguleir form j 13.20 0.87+ 13.202/tun? ( 13.30) 2 Cor) cor) A cording let's take 13.22 L-86.23° 2 → polar form to the question askeof Ur, = U₂ = V2 I = Is us="s 1 Vs Is 21 A ; Z = Z, +Zz los tj 5.65 +0.87 - 1 13.20 120 Loo Too , 8 7 -8 4. ^ J_ 101.1502 L-4.28° Cor 101.152 L-4.28° 2 10186 L4.28° A VZ, 120 20° 100.16 23.239 27 101.152 2-4.28° V val (vollege مهره ido x 100.16 L 3.23*+ 4.200 V rude) 10.152 V 118.82 L Fisiº Hote: XL xn, LØ, m₂ L02 xm, 20+,-02 m2 22 17 21 101. 120 Lo° * 13.22 L 86.23° 152L-4.20° 120 Lo 0.13 L-87.9370 15.60 L-81.95 V phasor d'agram: cos o= cos (-4.28°) = 0.99 Cheadling c. Is lead us by 4,28° =118.844.7.54° =1-18624.28° A 81.950 - 120 Loºr V = 15:60 L-81.95